V. Kozyakin - Publications

2022

Kozyakin V., Non-Sturmian sequences of matrices providing the maximum growth rate of matrix products, Automatica J. IFAC (2022), Nov. Vol. 145, Paper No. 110574, 10. http://iitp.ru/https://doi.org/10.1016/j.automatica.2022.110574

2020

Kozyakin V., On the boundedness of infinite matrix products with alternating factors from two sets of matrices. ArXiv.org e-Print archive. 2020. October. 2010.03890 http://arxiv.org/abs/2010.03890

2019

Kozyakin V., Kuznetsov N., Chebotarev P., Consensus in Asynchronous Multiagent Systems. III. Constructive Stability and Stabilizability. Automation and Remote Control, 2019, Vol. 80, No. 6, pp. 989-1015. http://iitp.ru/https://rdcu.be/bGpPk
Kozyakin V., Kuznetsov N., Chebotarev P., Consensus in Asynchronous Multiagent Systems. II. Method of Joint Spectral Radius. Automation and Remote Control, 2019, Vol. 80, No. 5, pp. 791-812. http://iitp.ru/https://rdcu.be/bCByp
Kozyakin V., Kuznetsov N., Chebotarev P., Consensus in Asynchronous Multiagent Systems. I. Asynchronous Consensus Models. Automation and Remote Control, 2019, Vol. 80, No. 4, pp. 593-623. http://iitp.ru/https://rdcu.be/byxcS
Kozyakin V., Kuznetsov N., Chebotarev P., Consensus in asynchronous multiagent systems. II // Autom. Remote Control. 2019, Vol. 80, No. 6, pp. 989-1015 http://mi.mathnet.ru/at15290
Kozyakin V., Kuznetsov N., Chebotarev P., Consensus in asynchronous multiagent systems. II // Autom. Remote Control. 2019. Vol. 80, no. 5. P. 791--812. http://mi.mathnet.ru/at15280
Kozyakin V., Kuznetsov N., Chebotarev P., Consensus in asynchronous multiagent systems. I // Autom. Remote Control. 2019. Vol. 80, no. 4. P. 593–623. http://mi.mathnet.ru/at15269
Kozyakin V., Caution, DOI! Bibliographic detective story in the era of digitalization, Journal of Communications Technology and Electronics, 2019, Vol. 64, No. 12, pp. 1523-1526. http://www.jip.ru/2019/54-59-2019.pdf
Kozyakin V., Minimax joint spectral radius and stabilizability of discrete-time linear switching control systems // Discrete Contin. Dyn. Syst. Ser. B. 2019. Vol. 24, no. 8. P. 3537–3556. http://iitp.ru/https://aimsciences.org/article/doi/ 10.3934/dcdsb.2018277

2018

Kozyakin V., On convergence of infinite matrix products with alternating factors from two sets of matrices, Discrete Dynamics in Nature and Society, Volume 2018 (2018), Article ID 9216760, 5 pages http://iitp.ru/https://www.hindawi.com/journals/ddns/2018/9216760/

2017

Kozyakin V., Minimax theorem for the spectral radius of the product of non-negative matrices, Linear and Multilinear Algebra, 65:11, 2356-2365, 2017 http://www.tandfonline.com/doi/pdf/10.1080/03081087.2016.1273877

2016

Asarin E., Cervelle J., Degorre A., Dima C., Horn F., Kozyakin V., Entropy Games and Matrix Multiplication Games, 33rd Symposium on Theoretical Aspects of Computer Science, (STACS 2016). Ed. by N. Ollinger, H. Vollmer. Vol. 47 of Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl–Leibniz-Zentrum fuer Informatik, 2016. P. 11:1–11:14. http://drops.dagstuhl.de/opus/volltexte/2016/5712/pdf/12.pdf
Kozyakin V., Hourglass alternative and the finiteness conjecture for the spectral characteristics of sets of non-negative matrices, Linear Algebra and its Applications, 489 (2016), 167-185. http://arxiv.org/abs/1507.00492
Kozyakin V., Hardy type asymptotics for cosine series in several variables with decreasing power-like coefficients, International Journal of Advanced Research in Mathematics, 2016, Vol. 5, pp. 35-51. http://iitp.ru/https://www.scipress.com/IJARM.5.35.pdf

2015

Kozyakin V., Constructive stability and stabilizability of positive linear discrete-time switching systems, ArXiv.org e-Print archive, 1511.05665, 2015, pp. 1-11. http://arxiv.org/abs/1511.05665
Kozyakin V., On the asymptotics of cosine series in several variables with power coefficients, Journal of Comunications Technology and Electronics, 60(12):1441-1444, December 2015
Kozyakin V., On asymptotics of cosine series in several variables with power-like coefficients, Information processes, 15, 2, 2015, 128-133 (in Russian) http://www.jip.ru/2015/128-133-2015.pdf
Asarin E., Cervelle J., Degorre A., Dima C., Horn F., Kozyakin V., Entropy Games, HAL archives-ouvertes.fr, HAL id: hal-01164086, 2015, 1-17. http://iitp.ru/https://hal.archives-ouvertes.fr/hal-01164086/document
Kozyakin V., Cross R., Fact and fictions in FX arbitrage processes, Journal of Physics: Conference Series 585 (2015) 012015 http://iopscience.iop.org/1742-6596/585/1/012015/pdf/1742-6596_585_1_012015.pdf

2014

Kozyakin V., Matrix products with constraints on the sliding block relative frequencies of different factors, Linear Algebra and its Applications, 2014, Vol. 457, 244-260. http://www.sciencedirect.com/science/article/pii/S0024379514002961
Kozyakin V., The Berger-Wang formula for the Markovian joint spectral radius, Linear Algebra and its Applications, 2014, Vol. 448, 315-328. http://www.sciencedirect.com/science/article/pii/S0024379514000408

2013

Kozyakin V., An annotated bibliography on the convergence of matrix products and the theory of joint/generalized spectral radius. Preprint. 2013. http://iitp.ru/https://kozyakin.github.io/jsrbib/JSRbib.pdf
Kozyakin V., Algebraic Unsolvability of Problem of Absolute Stability of Desynchronized Systems Revisited, ArXiv.org e-Print archive, Jan 2013, 8 pp. http://arxiv.org/abs/1301.5409
Cross R., Kozyakin V., Double Exponential Instability of Triangular Arbitrage Systems, Discrete and Continuous Dynamical Systems Series B, Vol. 18, no. 2, 349-376. http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=7972
Kloeden P.E., Kozyakin V., Asymptotic behaviour of random Markov chains with tridiagonal generators, Bulletin of the Australian Mathematical Society, 87, 1, 26-37. http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8819215
Kloeden P.E., Kozyakin V., Asymptotic behaviour of random tridiagonal Markov chains in biological applications, Discrete and Continuous Dynamical Systems Series B, Vol. 18, no. 2, 453-466. http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=7977

2012

Cross R., Kozyakin V., Fact and Fiction in FX Arbitrage Processes. Working Papers 1211: University of Strathclyde Business School, Department of Economics, 2012. - July, 14 p. http://ideas.repec.org/p/str/wpaper/1211.html
Cross R., Kozyakin V., O'Callaghan B., Pokrovskii A., Pokrovskiy A., Periodic Sequences of Arbitrage: A Tale of Four Currencies, Metroeconomica, 63:2 (2012), pp. 250–294. http://onlinelibrary.wiley.com/doi/10.1111/j.1467-999X.2011.04140.x/abstract
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Semi-Hyperbolicity and Bi-Shadowing, American Institute of Mathematical Sciences, 2012, Vol. 1 of AIMS Series on Random and Computational Dynamics, xvi+217 pp., ISBN: 978-1-60133-012. http://www.aimsciences.org/books/rcd/shbookmarch2012.pdf

2011

Kozyakin V., Qualitative analysis of complex dynamical systems (M.A. Krasnosel"skii and his pupils in IITP), Scientific session of the Branch of nano- and information technology of RAS «Fundamental problems of data transmission and processing» devoted to the jubilee of IITP RAS, 12 p. (in Russian)
Kozyakin V., One Idea of Pokrovskii: How to Link Economic Problems with Asynchronous Systems, Nonlinear Dynamics Conference in Memory of Alexei Pokrovskii, Ireland, University College Cork, September 5-9, 2011, 22pp. (talk, presentation)
Dai X., Kozyakin V., Finiteness Property of a Bounded Set of Matrices with Uniformly Sub-Peripheral Spectrum, Information processes, v. 11, no. 2, p. 253-261 (in Russian). http://www.jip.ru/2011/253-261-2011.pdf
Dai X., Kozyakin V., Finiteness Property of a Bounded Set of Matrices with Uniformly Sub-Peripheral Spectrum. Journal of Communications Technology and Electronics, 2011, Vol. 56, No. 12, pp. 1564–1569 (original Russian text published in Informatsionnye Protsessy, 2011, Vol. 11, No. 2, pp. 253–261). http://arxiv.org/abs/1106.2298
Cross R., Kozyakin V., Lang D., O’Callaghan B., Pokrovskii A., Pokrovskiy A., Arbitrage sequences and Leijonhufvud’s corridor hypothesis, Centre d’Economie de l’Université Paris Nord , March 2011, 15pp. (submitted to Cambridge Journal of Economics)
Kozyakin V., Kuznetsov N.A., Ryabykh N.G., A Pre-Encoding--Post-Decoding Technique for Stabilizing Asynchronously Operating Systems, Preprints of the 18th IFAC World Congress Milano (Italy) August 28 - September 2, 2011, Vol. 18, Part 1, pp. 5855-5859. http://www.ifac-papersonline.net/Detailed/49407.html
Kloeden P.E., Kozyakin V., The dynamics of epidemiological systems with nonautonomous and random coefficients, Mathematics in Engineering, Science and Aerospace, MESA - www.journalmesa.com, Vol. 2, No. 2, pp. 105-118. http://nonlinearstudies.com/index.php/mesa/article/view/652
Vladimirov A.G., Grechishkina N.A., Kozyakin V., Kuznetsov N.A., Pokrovskii A.V., Rachinskii D.I., Asynchronism: theory and practice, Information processes, Vol. 11, No. 1, 1-45 (in Russian). http://www.jip.ru/2011/1-45-2011.pdf
Kozyakin V., A Relaxation Scheme for Computation of the Joint Spectral Radius of Matrix Sets, Journal of Difference Equations and Applications, Volume 17 Issue 2, February 2011, 183-201 (Victor Kozyakin. (c) Taylor & Francis, 2011. This is the author’s version of the work. It is posted here by permission of Taylor & Francis for personal use, not for redistribution). http://arxiv.org/abs/arXiv:0810.4230

2010

Cross R., Kozyakin V., O'Callaghan B., Pokrovskii A., Pokrovskiy A., Periodic Sequences of Arbitrage: A Tale of Four Currencies, University of Strathclyde Business School, Department of Economics in its series Working Papers, 2010, No. 10-19, 30 pp. (preliminary version) http://www.strath.ac.uk/media/departments/economics/researchdiscussionpapers/10-19_final.pdf
Kozyakin V., Irreducibility measures in explicit estimation of the joint spectral radius. SciTopics (Research summaries by experts). July 15, 2010, http://www.scitopics.com/Irreducibility_measures_in_explicit_estimation_of_the_joint_spectral_radius.html
Kozyakin V., Pokrovskii A., O'Callaghan B., Sequences of Arbitrages, ArXiv.org e-Print archive, Apr. 2010, 18p. http://arxiv.org/abs/1004.0561
Kozyakin V., Max-Relaxation Iteration Procedure for Building of Barabanov Norms: Convergence and Examples, ArXiv.org e-Print archive, Feb. 2010, 21p. http://arxiv.org/abs/1002.3251
Kozyakin V., Polynomial Criteria for the v-Sufficiency of Jets in Classes of Finitely Smooth Mappings, Doklady Mathematics, 2010, Vol. 81, No. 1, pp. 101–104 (original Russian text published in Doklady Akademii Nauk, 2010, Vol. 430, No. 5, pp. 596–599).
Kozyakin V., An explicit Lipschitz constant for the joint spectral radius, Linear Algebra and Applications, Applications, 2010, 433, No. 1, 12-18. http://arxiv.org/abs/arXiv:0909.3170
Kozyakin V., Polynomial criteria for v-sufficiency of jets in classes of finitely smooth maps, Doklady AN, 2010, 430, ¹5, 596-599.
Kozyakin V., Polynomial reformulation of the Kuo criteria for v-sufficiency of map-germs, Discrete and Continuous Dynamical Systems Series B, 14, No. 2, September 2010, 587-602. http://arxiv.org/abs/0907.0571
Kozyakin V., On Explicit A Priori Estimates of the Joint Spectral Radius by the Generalized Gelfand Formula, Differential Equations and Dynamical Systems, Vol. 18, Nos. 1 & 2, January & April, 2010, pp. 91–103. http://arxiv.org/abs/arXiv:0810.2157
Kozyakin V., Iterative Building of Barabanov Norms and Computation of the Joint Spectral Radius for Matrix Sets, Discrete and Continuous Dynamical Systems Series B, 14, No. 1, July 2010, 143-158. http://arxiv.org/abs/arXiv:0810.2154

2009

Kozyakin V., On the Computational Aspects of the Theory of Joint Spectral Radius, Doklady Mathematics, 2009, Vol. 80, No. 1, pp. 487–491. (original Russian Text © V.S. Kozyakin, 2009, published in Doklady Akademii Nauk, 2009, Vol. 427, No. 2, pp. 160–164).
Kozyakin V., On the Computational Aspects of the Theory of Joint Spectral Radius, Doklady AN, 2009, 427, ¹2, 160–164 (in Russian).
Kozyakin V., On Accuracy of Approximation of the Spectral Radius by the Gelfand Formula, Linear Algebra and its Applications, 2009, 431, No. 11, 2134–2141. http://arxiv.org/abs/0810.2856

2008

Kozyakin V., Kuznetsov N., The Kotelnikov Theorem is a Basis for Digital Estimation and Modeling of Continuous Processes, Radiotekhnika, 2008, 8, 8-14. http://www.radiotec.ru/catalog.php?cat=jr1&art=112
Kozyakin V., Krasnosel'skii A., D.I.Rachinskii, Arnold tongues for bifurcation from infinity, Discrete and Continuous Dynamical Systems - Series S, 1, ¹1 (2008) 107-116 .
Diamond P.M., Kloeden P.E., Kozyakin V., Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings, Journal of Difference Equations and Applications, 14, ¹ 10-11, 2008, 1165 - 1173.
Kozyakin V., Krasnosel'skii A., Rachinskii D.I., Asymptotics of the Arnold tongues in problems at infinity, Discrete and Continuous Dynamical Systems- Series A, 2008, 20, ¹4, 989-1011.

2007

Kozyakin V., Kuznetsov N.A., Feasibility of Numerical Modelling: Information Aspect, Information Processes, 2007, Vol. 7, No. 3, ñ. 323-368 (in Russian) http://www.jip.ru/2007/323-368-2007.pdf
Kozyakin V., Structure of Extremal Trajectories of Discrete Linear Systems and the Finiteness Conjecture, Automat. Remote Control, 68 (2007), no. 1, 174-209
Kozyakin V., Kuznetsov N.A., Feasibility of Numerical Modelling: Information Aspect, Automat. Remote Control, 68 (2007), no. 12, 2228-2270

2006

Kozyakin V., Krasnosel'skii A., Rachinskii D.I., Arnold Tongues in the Problem of Large-Amplitude Periodic Trajectories, Doklady Mathematics,74, 3 (2006) 821-827
Kozyakin V., Structure of Extremal Trajectories of Discrete Linear Systems and the Finiteness Conjecture, Information Processes, 6, 4 (2006), 327-363 (in Russian) (English translation in Automat. Remote Control, 68 (2007), no. 1, 174-209 ) http://www.jip.ru/2006/327-363-2006.pdf

2005

Kozyakin V., Proof of a Counterexample to the Finiteness Conjecture in the Spirit of the Theory of Dynamical Systems, Weierstraß-Institut für Angewandte Analysis und Stochastik, Berlin, WIAS Preprint No. 1005, 1-46.
Kozyakin V., Sturmian sequences generated by orientation-preserving circle maps, Information Processes, 5, 4 (2005), 271-282 (in Russian). http://www.jip.ru/2005/271-282.pdf
Kozyakin V., Rotation numbers of discontinuous orientation-preserving circle maps revisited, Information Processes, 5, 4 (2005), 283-300. http://www.jip.ru/2005/283-300.pdf
Kozyakin V., Extremal Norms, Discontinuous Circle Maps and a Counterexample to the Finiteness Conjecture, Information Processes, 5 (4), 2005, 301-335 http://www.jip.ru/2005/301-335.pdf
Kozyakin V., A Dynamical Systems Construction of a Counterexample to the Finiteness Conjecture, Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference 2005, Seville, Spain, December 12-15, 2005, 2338-2343.

2004

Kloeden P., Kozyakin V., Uniform nonautonomous attractors under discretization. Discrete and Continuous Dynamical Systems, 10, 1-2 (2004), 423-433.
Kloeden P., Kozyakin V., The inflation and perturbation of nonautonomous difference equations and their pullback attractors, Proceedings of the Sixth International Conference on Difference Equations Augsburg, Germany 2001: New Progress in Difference Equations (B. Aulbach, S. Elaydi, and G. Ladas, eds.), CRC Press, Boca Raton, 2004, 139-152
Kozyakin V., A short introduction to asynchronous systems, Proceedings of the Sixth International Conference on Difference Equations Augsburg, Germany 2001: New Progress in Difference Equations (B. Aulbach, S. Elaydi, and G. Ladas, eds.), CRC Press, Boca Raton, 2004, 153-166.
Kozyakin V., Kuznetsov N.A., Stability of linear asynchronous systems, Proceedings of the VIII-th International workshop "Stability and oscillations of nonlinear control systems" (Moscow, ICP RAS, June 2-4 2004), Moscow, ICP RAS and "Altima standard", 89-90.

2003

Kozyakin V., Indefinability in o-Minimal Structures of Finite Sets of Matrices Whose Infinite Products Converge and Are Bounded or Unbounded. Automat. Remote Control, 64 (2003), no. 9, 1386-1400 (Russian original in Avtomatika i Telemekhanika, 9 (2003), 24-41).
Kozyakin V., Indefinability in o-Minimal Structures of Finite Sets of Matrices Whose Infinite Products Converge and Are Bounded or Unbounded. Avtomatika i Telemekhanika, 9 (2003), 24-41 (in Russian; English translation in Automat. Remote Control, 64 (2003), no. 9, 1386-1400).
Kozyakin V., Undefinability in o-minimal structures of the problem on existence of bounded invariant sets for a finite collection of matrices, Abstracts of the International conference "Kolmogorov and Contemporary Mathematics (Moscow, June 16-21, 2003)", Moscow, Moscow State University, 2003, 65-66.
Kozyakin V., Sturmian sequences generated by order preserving circle maps, Preprint No. 11/2003, May 2003, Boole Centre for Research in Informatics, University College Cork - National University of Ireland, Cork, 2003, 16pp. http://euclid.ucc.ie/appliedmath/preprints/BCRI_11_03.pdf
Kozyakin V., Discontinuous order preserving circle maps versus circle homeomorphisms, Preprint No. 12/2003, May 2003, Boole Centre for Research in Informatics, University College Cork - National University of Ireland, Cork, 2003, 17pp. http://euclid.ucc.ie/appliedmath/preprints/BCRI_12_03.pdf
Kozyakin V., Asynchronous systems: a short survey and problems, Preprint No. 13/2003, May 2003, Boole Centre for Research in Informatics, University College Cork - National University of Ireland, Cork, 2003, 19pp. http://euclid.ucc.ie/appliedmath/preprints/BCRI_13_03.pdf
Kozyakin V., Asynchronous systems (a survey and unresolved problems), Proceedings of the conference «Contemporary problems of functional analysis and differential equations (Voronezh, June 30 - July 4, 2003)», Voronezh State University, Voronezh, 2003, 151-152 (in Russian).

2001

Kozyakin V., A. Pokrovskii , The asymptotic behavior of elementary symmetric functions on a probability distribution. Journal of Appl. Math. and Stoch. Anal., 14, 3 (2001), 237-248.
Kloeden P., Kozyakin V., The perturbation of attractors of skew-product flows with a shadowing driving system. Discrete and Continuous Dynamical Systems, 7, 4 (2001), 883-893.
Kloeden P., Kozyakin V., Single parameter dissipativity and attractors in discrete time asynchronous systems. Journal of Difference Equations and Applications, 7 (2001), 873-894.

2000

Kloeden P., Kozyakin V., The inflation of nonautonomous systems and their pullback attractors. DANSE preprint, 14/2000 (2000), FU Berlin, 21pp. http://www.math.uni-frankfurt.de/~numerik/kloeden/Article/KKprepr.pdf
Kloeden P., Kozyakin V., The inflation of nonautonomous systems and their pullback attractors. Transactions of RANS, series MMMIC, 4, 1-2 (2000), 144-169.
Kloeden P., Kozyakin V., The inflation of attractors and discretization: the autonomous case. Nonlinear Anal., TMA, 40 (2000), 333-343.
Kloeden P., Kozyakin V., Single parameter dissipativity and attractors in discrete time asynchronous systems. DANSE preprint, 30/2000 (2000), FU Berlin, 16pp.
Kloeden P., Kozyakin V., Uniform nonautonomous attractors under discretization. DANSE preprint, 36/2000 (2000), FU Berlin, 17pp.
Kozyakin V., Lecture about the method of parameter functionalization. Mark Aleksandrovich Krasnosel"skii. To the 80th birthday. Moscow, Editorial URSS, 2000, 58-70 (in Russian). http://www.iitp.ru/ru/userpages/46/44.htm
Kloeden P., Kozyakin V., The perturbation of attractors of skew-product flows with a shadowing driving system. DANSE preprint, 37/2000 (2000), FU Berlin, 12pp.

1999

Kozyakin V., Bhaya A., Kaszkurewicz E., A global asymptotic stability result for a class of totally asynchronous discrete nonlinear systems. Math. Control Signals Systems, 12, 2 (1999), 143-166.
Kloeden P., Kozyakin V., The inflation of attractors and their discretization: the autonomous case. DANSE preprint, 22/99 (1999), FU Berlin, 12pp. http://www.math.uni-frankfurt.de/~numerik/kloeden/Article/KK.pdf

1998

Kozyakin V., Su Yangfeng, Bhaya A., Kaszkurewicz E., Further results on convergence of linear asynchronous iterations. Linear Algebra Appl., 281, 1-3 (1998), 11-24.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Boundedness and dissipativity of truncated rotations on uniform planar lattices. Math. Nachr., 191 (1998), 59-81. http://onlinelibrary.wiley.com/doi/10.1002/mana.19981910104/abstract
Kozyakin V., N.A. Kuznetsov , A.V. Pokrovskii , Quasi-controllability and estimates of amplitudes of transient regimes in discrete systems. Proceedings of CESA"98 IMACS-IEEE Multiconference, Hammamet, Tunisia, April 1-4, 1998, edited by P.Borne, M.Ksouri, A.El Kamel, CD-ROM ISBN 2-9512309-0-7, 1 (1998), 266-271. http://arxiv.org/abs/0909.4374
Kozyakin V., N.A. Kuznetsov , Vladimirov A., Matrix methods in Skorokhod problems. Proceedings of CESA"98 IMACS-IEEE Multiconference, Hammamet, Tunisia, April 1-4, 1998, edited by P.Borne, M.Ksouri and A.El Kamel, CD-ROM ISBN 2-9512309-0-7, 2 (1998), 323-328.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Monotonic dynamical systems under spatial discretization. Proc. Amer. Math. Soc., 126, 7 (1998), 2169-2174. http://www.ams.org/journals/proc/1998-126-07/S0002-9939-98-04277-4/S0002-9939-98-04277-4.pdf

1997

Kozyakin V., On Finiteness of Trajectories for One Mapping Associated with Quasi-inversion of Rotation. Proceedings of the 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, August 24-29, 1997, Berlin, Germany, Volume I: Computational Mathematics, Berlin, Wissenschaft und Technik Verlag, 39-44.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., A model for roundoff and collapse in computation of chaotic dynamical systems. Math. Comput. Simulation, 44, 2 (1997), 163-185. http://www.sciencedirect.com/science/article/pii/S0378475497000700
Bobylev N.A., Kloeden P., Kozyakin V., Krasnosel'skii A., Pokrovskii A.V., Sadovskii B.N., In Memoriam Mark A.Krasnosel"skii. Moscow: April 27, 1920 — February 13, 1997. Mitteilungen der Gesellschaft fur Angewandte Math. and Mech., 20, 1 (1997), 13-14. http://downloads.hindawi.com/journals/ijsa/1997/240621.pdf
Kozyakin V., Kuznetsov N.A., Pokrovskii A.V., Vladimirov I.G., Some problems in analysis of discretizations of continuous dynamical systems. Proceedings of the Second World Congress of Nonlinear Analysts, Part 2 (Athens, 1996). Nonlinear Analysis, TMA. 30, 2 (1997), 767-778. http://www.sciencedirect.com/science/article/pii/S0362546X96002325
Kozyakin V., Pokrovskii A., Quasi-controllability and Estimation of the Amplitudes of Transient Regimes in Discrete Systems. Transactions of Russian Academy of Natural Sciences, series MMMIC, 1, 3 (1997), 128-150.
Kozyakin V., Asarin E.A., Bakhtin I.A., al. at, Mark Alexandrovich Krasnosel"skii (April 27, 1920 — February 13, 1997). J. Appl. Math. Stochastic Anal. 10, 2 (1997), 119-126.

1996

Al-Nayef A., Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Bi-shadowing and delay equations. Dynamics and Stability of Systems, 11, 2 (1996), 121-134. http://www.tandfonline.com/doi/abs/10.1080/02681119608806220?journalCode=cdss19#preview
Kozyakin V., Bhaya A., Kaszkurewicz E., Existence and stability of a unique equilibrium in continuous-valued discrete-time asynchronous Hopfield neural networks. IEEE Transactions on Neural Networks, 7, 3 (1996), 620-628.
Diamond P., Kloeden P., Kozyakin V., Krasnosel'skii M., Pokrovskii A., Robustness of dynamical systems to a class of nonsmooth perturbations. Nonlinear Analysis, TMA, 26, 2 (1996), 351-361.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Monotonic Dynamical Systems Under Spatial Discretization. Deakin University, Geelong, Australia, CADSEM Report 96-001 (1996), 1-7.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., A Phenomenological Model for Discretizations of a Class of Chaotic Dynamical Systems. Deakin University, Geelong, Australia, CADSEM Report 96-002 (1996), 1-35.
Kozyakin V., Kuznetsov N., Pokrovskii A., A New Model For Statistics of the First Recurrent Moments and Cycle Lengths in Discretizations of Dynamical Systems. Deakin University, Geelong, Australia, CADSEM Report 96-006 (1996), 1-9.
Kozyakin V., Kuznetsov N., Pokrovskii A., Vladimirov I., Some Problems in Analysis of Discretizations of Continuous Dynamical Systems. Deakin University, Geelong, Australia, CADSEM Report 96-019 (1996), 1-9.
Kozyakin V., Pokrovskii A., The Asymptotic Behavior of Elementary Symmetric Functions on a Probability Distribution. Deakin University, Geelong, Australia, CADSEM Report 96-004 (1996), 1-12.
Kozyakin V., Pokrovskii A., Estimates of Amplitudes of Transient Regimes in Quasi-controllable Discrete Systems. Deakin University, Geelong, Australia, CADSEM Report 96-005 (1996), 1-21. http://arxiv.org/abs/0908.4138
Kozyakin V., Kuznetsov N.A., Pokrovskii A.V., A phenomenological model of the statistics of cycle lengths and the first recurrence moments in discretizations of dynamic systems. Dokl. Akad. Nauk, 349, 2 (1996), 165-168 (in Russian; English translation Soviet Math. Dokl., 54, 1, 524-527 (1996)).

1995

Kloeden P., Kozyakin V., Pokrovskii A., Functional Analysis Pioneer Turns 75. SIAM News, 28, 6 (1995), 3.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., A Model for Roundoff and Collapse of Chaotic Dynamical Systems. Deakin University, School of Computing and Mathematics. Technical Reports, Mathematics Series, TR M95/07 (1995), 1-19.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Boundedness of Truncated Rotations of Uniform Planar Lattices. Deakin University, School of Computing and Mathematics. Technical Reports, Mathematics Series, TR M95/06 (1995), 1-26.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., On the fragmentary complexity of symbolic sequences. Theoretical Computer Science, 148, 1 (1995), 1-17.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Expansivity of semi-hyperbolic Lipschitz mappings. Bulletin of the Australian Mathematical Society, 51, 2 (1995), 301-308.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Semihyperbolic mappings. J. Nonlinear Science, 5, 5 (1995), 419-431. http://www.springerlink.com/content/t370r4526712j1m3/
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Computer robustness of semi-hyperbolic mappings. Random and Computational Dynamics, 3, 1-2 (1995), 57-70.
Al-Nayef A., Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Bi-shadowing and delay equations. Deakin University, School of Computing and Mathematics. Technical Reports, Mathematics Series, TR M95/11 (1995), 1-17.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A.V., Robustness of observable behavior of semihyperbolic dynamic systems. Avtomatika i Telemehanika, 11 (1995), 148-159 (in Russian; English translation in Automat. Remote Control, 56 (1995), no. 11, part 2, 1627-1636 (1996)).
Diamond P., Kloeden P., Kozyakin V., Krasnosel’skii M.A., Pokrovskii A.V., Roughness of trajectories of dynamical systems with respect to hysteresis disturbances. Dokl. Akad. Nauk, 343, 1 (1995), 25-27 (in Russian; English translation Soviet Math. Dokl., 52, 1, 138-140 (1995)).
Diamond P., Kloeden P., Kozyakin V., Krasnosel’skii M.A., Pokrovskii A.V., Periodic trajectories of nonsmooth perturbations of systems with chaotic behavior. Avtomatika i Telemehanika, 5 (1995), 34-41 (in Russian; English translation in Automat. Remote Control, 56 (1995), no. 5, part 1, 637-643).

1994

Kozyakin V., Kuznetsov N., A. Pokrovskii , Transients in Quasi-controllable systems. Overshooting, stability and instability, Control Engineering Practice, 2, 6 (1994), 871-874.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Properties of Semi-hyperbolic Mappings. Deakin University, School of Computing and Mathematics, Technical Reports. Mathematics Series. TR M94/05 (1994), 1-8.
Diamond P., Kloeden P., Kozyakin V., Pokrovskii A., Robustness of Observed Behavior of Semi-hyperbolic Dynamical Systems. Deakin University, School of Computing and Mathematics, Technical Reports. Mathematics Series. TR M94/04 (1994), 1-14. http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.4174
Asarin E.A., Kozyakin V., Krasnosel’skii M.A., Kuznetsov N.A., Mathematical models of stability of desynchronized systems. Intelligent processes and their modeling. Information networks. Moscow, Russian Academy of Sciences, Moscow (1994), 3-17 (in Russian).

1993

Kozyakin V., Kuznetsov N.A., Vladimirov A., The Skorokhod problem study via desynchronized systems techniques, Proceedings of the European Control Conference ECC’93, June 28 – July 1, 1993. Vol. 2, ed. by J. W. Nieuwenhius, C. Praagman, H. L. Trentelman. — Groningen, Netherlands : European Control Association, 1993, 760–763.
Kozyakin V., Mandelbaum A., Vladimirov A., Absolute Stability and Dynamic Complementarity, Technical report, Technion, Haifa, Israel, 24p.
Kozyakin V., Kuznetsov N., Pokrovskii A., Transients in Quasi-controllable Systems. Overshooting, Stability and Instability. 12th World Congress IFAC, Sydney, Australia, 18-23 July 1993. Preprint of papers, 8, 465-468. http://arxiv.org/abs/0909.4372
Kozyakin V., Kuznetsov N., Stability of discrete desynchronized systems (problem, methods and state). Anniversary collection of proceedings of the Branch of Computer Science and Automation of Russian Academy of Sciences. Vol. I. Russian Academy of Sciences, Moscow (1993), 94-114 (in Russian).
Vladimirov A., Kozyakin V., Kuznetsov N., Mandelbaum A., An investigation of the dynamic complementarity problem by methods of the theory of desynchronized systems. Dokl. Akad. Nauk SSSR, 329, 1 (1993), 5-8 (in Russian; English translation Soviet Math. Dokl., 47, 2, 169-173 (1993)).

1992

Kozyakin V., Kuznetsov N.A., Pokrovskii A.V., Influence of Controllability-Type Properties on Reliability and Stability of Desynchronized Systems,IFAC Proceedings Volumes, 25 (8), June 1992, 392-399. http://www.sciencedirect.com/science/article/pii/S1474667017540896
Asarin E., Kozyakin V., Kuznetsov N., Krasnosel'skii M., Analysis of the stability of asynchronous discrete systems, Moscow, Nauka, 1992, 408 pp. http://iitp.ru//upload/userpage/45/akkkpdf.pdf
Kozyakin V., Pokrovskii A., The role of controllability-type properties in the study of the stability of desynchronized dynamical systems. Dokl. Akad. Nauk SSSR, 324, 1 (1992), 60-64 (in Russian; English translation in Soviet Phys. Dokl., 37 (1992), no. 5, 213-215).
Asarin E., Vladimirov A., Kozyakin V., Kuznetsov N., Mandelbaum A., Pokrovskii A., Use of methods of a theory of a desynchronization in investigation of dynamics of information networks. Perspective means of telecommunications and integrated systems of communication. The project "Development of methods of synthesis of integrated communication systems”. Part I. Russian Academy of Sciences, Moscow (1992), 1-31 (in Russian).

1991

Kozyakin V., Methods of research of stability of desynchronized impulse systems. Doctor of Physical & Mathematical Sciences Dissertation, Moscow, Institute of Information Transmission Problems, Russian Academy of Sciences (1991), 277 p.
Kozyakin V., Methods of research of stability of desynchronized impulse systems. Abstract of the Doctor of Physical & Mathematical Sciences Dissertation, Moscow, Institute of Information Transmission Problems, Russian Academy of Sciences (1991), 35 p.
Kozyakin V., Equivalent norms technique for stability analysis of linear discrete event systems. IFAC Proceedings Volumes. 1991. Vol. 24, no. 14. P. 290–295. IFAC Workshop on Discrete Event System Theory and Applications in Manufacturing and Social Phenomena, Shenyang, China, June 25-27, 1991. http://www.sciencedirect.com/science/article/pii/S1474667017693728
Kozyakin V., On the stability of linear desynchronized systems with asymmetric matrices. Avtomatika i Telemehanika, 7 (1991), 33-41 (in Russian; English translation in Automat. Remote Control, 52 (1991), no. 7, part 1, 928-933).
Kozyakin V., Perturbation of linear desynchronized systems. Dokl. Akad. Nauk SSSR, 316, 1 (1991), 54-57 (in Russian; English translation Soviet Phys., Dokl., 36, 1, 16-17 (1991)).

1990

Asarin E., Krasnoselskii M., Kozyakin V., Kuznetsov N., Stability analysis of desynchronized systems. IFAC Proceedings Volumes. 1990. Vol. 23, no. 8, Part 1. P. 117–121. http://www.sciencedirect.com/science/article/pii/S1474667017520819
Asarin E., Kozyakin V., Krasnoselskii M., Kuznetsov N., On modelling systems with non-synchronously operating impulse elements, Mathematical and Computer Modelling, 14, Issue C, 70-73.
Kozyakin V., Absolute stability of discrete desynchronized systems. Dokl. Akad. Nauk SSSR, 312, 5 (1990), 1066-1070 (in Russian; English translation in Soviet Phys. Dokl., 35 (1990), no. 6, 518-519).
Kozyakin V., Absolute stability of systems with asynchronous sampled-data elements. Avtomatika i Telemehanika, 10 (1990), 56-63 (in Russian; English translation in Automat. Remote Control, 51 (1990), no. 10, part 1, 1349-1355 (1991)).
Kozyakin V., Stability analysis of asynchronous systems by methods of symbolic dynamics. Dokl. Akad. Nauk SSSR, 311, 3 (1990), 549-552 (in Russian; English translation in Soviet Phys. Dokl., 35 (1990), no. 3, 218-220).
Kozyakin V., Stability of phase-frequency desynchronized systems under a perturbation of the switching instants of the components. Avtomatika i Telemehanika, 8 (1990), 35-41 (in Russian; English translation in Automat. Remote Control, 51 (1990), no. 8, part 1, 1034-1040 (1991)).
Kozyakin V., Algebraic unsolvability of problem of absolute stability of desynchronized systems. Avtomatika i Telemehanika, 6 (1990), 41-47 (in Russian; English translation in Automat. Remote Control, 51 (1990), no. 6, part 1, 754-759).
Asarin E., Kozyakin V., Krasnosel’skii M., Kuznetsov N., On modelling systems with non-synchronously operating impulse elements. Math. Comput. Modelling, 14 (1990), 70-73.

1989

Asarin E., Kozyakin V., Krasnosel’skii M., Kuznetsov N., Pokrovskii A., On some new types of mathematical models of complex systems. Modelling and adaptive control, Proc. IIASA Conf., Sopron/Hung. 1986, Lecture Notes in Control and Inform. Sci., 105 (1988), 10-26.

1987

Kozyakin V., Krasnosel’skii M., The method of parameter functionalization in the Hopf bifurcation problem. Nonlinear Analysis, TMA, 11, 2 (1987), 149-161.

1986

Bobylev N.A., Boltyanskii V.G., Vsehsvyatskii S.Yu., Kalashnikov V.V., Kozyakin V., Kolmanovskii V.B., Krasnosel'skii A., Pokrovskii A.V., Mathematical systems theory, Moscow, Nauka, 1986, 166 pp. (in Russian)

1985

Vladimirov A., Kozyakin V., Pokrovskii A., Absolute dissipativity of systems with a hysteresis. Applied methods of the functional analysis, Inter-university collection of works, Voronezh State University, Voronezh (1985), 33-39 (in Russian).
Blank M., Gukovskii D., Kozyakin V., Krasnosel'skii A., Markovskaya T., Ruda M., Sobolev A., Romanov M.Yu., System engineering of automatic diagnostics of infringements of heart rhythm in real time scale. Reports of the National Cardiology Research Center of Academy of Medical Sciences of the USSR, VNTICentr, 81024272 (1985), 123 p. (in Russian).
Kozyakin V., Positsel’skii E., Yarovaya E., Metel’skaya V., A model of influence of haemosorption on exchange of lipoproteids of plasma of blood. Mathematical and computing methods in biology, Theses of the Reports of an All-Union Seminar, Pushchino (1985), 1 p. (in Russian).
Kozyakin V., Observability of periodic modes caused by loss of stability of sampled- data systems. Avtomatika i Telemehanika, 9 (1985), 42-48 (in Russian; English translation Autom. Remote Control, 46, 1098-1104 (1985)).

1984

Kleptsyn A., Krasnosel’skii M., Kuznetsov N., Kozyakin V., Desynchronization of linear systems. Mathematics and Computers in Simulation, 26, 5 (1984), 423-431.
Kozyakin V., On neglecting small terms in the study of nonlinear systems. Avtomatika i Telemehanika, 10 (1984), 38-43 (in Russian; English translation Autom. Remote Control, 45, 1275-1280 (1984)).
Kleptsyn A., Kozyakin V., Krasnosel’skii M., Kuznetsov N., Stability of desynchronized systems. Dokl. Akad. Nauk SSSR, 274, 5 (1984), 1053-1056 (in Russian; English translation Soviet Phys. Dokl., 29, 92-94 (1984)).
Kleptsyn A., Kozyakin V., Krasnosel’skii M., Kuznetsov N., Effect of small synchronization errors on stability of complex systems. III. Avtomatika i Telemehanika, 8 (1984), 63-67 (in Russian; English translation Autom. Remote Control, 45, 8, 1014-1018 (1984)).
Kleptsyn A., Kozyakin V., Krasnosel’skii M., Kuznetsov N., Effect of small synchronization errors on stability of complex systems. II. Avtomatika i Telemehanika, 3 (1984), 42-47 (in Russian; English translation Autom. Remote Control, 45, 309-314 (1984)).

1983

Kleptsyn A., Kozyakin V., Krasnosel’skii M., Kuznetsov N., Effect of small synchronization errors on stability of complex systems. I. Avtomatika i Telemehanika, 7 (1983), 44-50 (in Russian; English translation Autom. Remote Control, 44, 7, 861-867 (1983)).

1982

Blank M., Kozyakin V., Krasnosel'skii A., Markovskaya T., Merkulova I., Ruda M., Sobolev A., Automatic tracking of cardiac rhythm. Theses of the reports of the 1st Soviet-Finnish Symposium on use the minicomputers and microprocessors in medicine, Finland, Helsinki (1982), 1 p.
Kozyakin V., Krasnosel’skii M., Some remarks on the method of minimal residues. Numerical Functional Analysis and Optimization, 4, 3 (1982), 211-239.
Kozyakin V., About the book of J.Karr "Applications of a theory of central manifold". New books abroad, 10 (1982), 16-19 (in Russian)
Krasnosel’skii M., Kozyakin V., Krasnosel'skii A., Pokrovski A., About dynamics of control systems with many nonlinearities. The Differential Equations and Applications (I), Proceedings of the 2nd Conference Russe"81, Bulgaria, Russe (1982), 366-376 (in Russian).

1981

Blank M., Gukovskii D., Kozyakin V., Krasnosel'skii A., Ruda M., Sobolev A., About automation of monitor tracking of ills by cardiac rhythm. Theory and practice of automation electrocardiological and clinical researches, Theses of the 2nd All-Union Conference, Kaunas (1981), 1 p. (in Russian).
Krasnosel’skii M., Vladimirov A., Kleptsyn A., Kozyakin V., Lifshits E., Pokrovskii A., Vector hysteresis nonlinearities of the von Mizes-Tresca type. Dokl. Akad. Nauk SSSR, 257, 3 (1981), 581-584 (in Russian).

1980

Blank M., Gukovskii D., Kozyakin V., Krasnosel'skii A., Markovskaya T., Sobolev A., Experimental system of the automatic analysis of cardiac rhythm. Reports of the National Cardiology Research Center of Academy of Medical Sciences of the USSR, 2 (1980), 81-84 (in Russian).
Krasnosel’skii M., Kozyakin V., The method of parameter functionalization in the problem of bifurcation points. Dokl. Akad. Nauk SSSR, 254, 5 (1980), 1061-1064 (in Russian; English translation Soviet Math. Dokl., 22, 513-517 (1980)).

1979

Kozyakin V., Some problems of the theory of bifurcations of periodic motions (phenomenon of subfurcation). Candidate of Physical & Mathematical Sciences Dissertation, Moscow, Institute of Electronic Technology (1979), 114 p. (in Russian).
Krasnosel’skii M., Emelin I., Kozyakin V., Aboute iterative procedures in linear problems. Preprint of the Institute of Control Problems. Academy of Sciences of USSR, Moscow (1979), 62 p. (in Russian). 1980.
Agaronyan O., Blank M., Gukovskii D., Davidenko A., Kozyakin V., Krasnosel'skii A., Markovskaya T., Merkulova I., Ruda M., Sobolev A., A system of the automated analysis of rhythm diseases by a monitor lead of ECG in intensive care units. 3-rd All-Union congress of cardiologists, Theses of the reports, Moscow (1979), 1 p. (in Russian).
Krasnosel’skii M., Kozyakin V., Some problems connected with the method of minimal residuals. Zh. Vychisl. Mat. i Mat. Fiz., 19 (1979), 508-510 (in Russian; English translation U.S.S.R. Comput. Math. Math. Phys., 19, 2, 244-247 (1979)).
Krasnosel’skii M., Kozyakin V., Influence of small delays on dynamic behavior of nonlinear systems. Avtomatika i Telemehanika, 1 (1979), 5-8 (in Russian; English translation Automat. Remote Control, 40 (1979), no. 1, part 1, 1-4).

1978

Kozyakin V., Some problems of the theory of bifurcations of periodic motions (phenomenon of subfurcation). Abstract of the Candidate of Physical & Mathematical Sciences Dissertation, Moscow, Institute of Electronic Technology (1978), 16 p. (in Russian).

1977

Kozyakin V., Subfurcation in loss of stability of equilibrium position for a system of differential equations with lag, Siberian Mathematical Journal, 18:3 (1977), 414-425. http://iitp.ru/https://link.springer.com/article/10.1007\%2FBF00967033
Blank M., Gukovskii D., Davidenko A., Kozyakin V., Markovskaya T., Merkulova I., Ruda M., Sobolev A., About the continuous automatic analysis of cardiac rhythm. A theory and practice of automation of electrocardiological researches, Theses of All-Union meeting, Kaunas (1977), 1 p. (in Russian).
Kozyakin V., The generation of periodic points from an equilibrium position. Uspehi Mat. Nauk, 32, 4 (1977), 255-256 (in Russian).
Kozyakin V., The occurrence of subfurcation when there is loss of stability of the equilibrium state of a system of differential equations with lag. Sibirsk. Mat. Zh., 18, 3 (1977), 580-594 (in Russian; English translation Sib. Math. J., 18, 414-425 (1978)).
Kozyakin V., Subfurcation of periodic oscillations. Dokl. Akad. Nauk SSSR, 232, 1 (1977), 24-27 (in Russian; English translation Soviet Math., Dokl., 18, 18-21 (1977)).

1976

Kozyakin V., The breaking of invariant tori. Differential Equations, Inter-university collection of works, Kuybyshev Gos. Univ., Kuybyshev (1976), 45-50 (in Russian).
Kozyakin V., A second necessary condition for the bifurcation of N-periodic points. Differential Equations, Inter-university collection of works, Kuybyshev Gos. Univ., Kuybyshev (1976), 39-44 (in Russian).

1974

Akhmerov R., Kamenskii M., Kozyakin V., Sobolev A., Periodic solutions of systems of autonomous functional-differential equations of neutral type with small delays. Differencial"nye Uravnenija, 10 (1974), 1923-1931 (in Russian; English translation Differ. Equations, 10 (1974), 1479-1485 (1976)).

1972

Krasnosel’skii M., Kozyakin V., Pokrovskii A., Vibrationally stable hysterons. Dokl. Akad. Nauk SSSR, 206, 4 (1972), 800-803 (in Russian; English translation Soviet Math., Dokl., 13, 1305-1309 (1972)).
Kozyakin V., The vibrostability of second order differential equations. Uspehi Mat. Nauk, 27, 5 (1972), 241-242 (in Russian).
Kozyakin V., The inverse Minkowski inequality for monotone functions. Voronezh. Gos. Univ. Trudy Naucn.-Issled. Inst. Mat. VGU Vyp. 5 Sb. Statei Teor. Operator. i Differencial. Uravnenii, 5 (1972), Voronezh State University, Voronezh, 59-64 (in Russian).

1971

Kozyakin V., A certain functional equation. Mat. Zametki, 9, 26 (1971), 161-170 (in Russian; English translation Math. Notes, 9, 95-100 (1971)).

1970

Kozyakin V., On condensing and contracting operators. Proceedings of the Mathematical Faculty of the Voronezh State University, 1 (1970), Voronezh State University, Voronezh, 60-70 (in Russian).