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. Go to publication
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. Download (499.9 KB)
1997 year
Authors: 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 year
Authors: 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.
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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.
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1996 year
Authors: 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. Download (253.9 KB)
1996 year
Authors: 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.
1996 year
Authors: 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.
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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.
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1996 year
Authors: 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.
The Asymptotic Behavior of Elementary Symmetric Functions on a Probability Distribution. Deakin University, Geelong, Australia, CADSEM Report 96-004 (1996), 1-12.
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Estimates of Amplitudes of Transient Regimes in Quasi-controllable Discrete Systems. Deakin University, Geelong, Australia, CADSEM Report 96-005 (1996), 1-21. Go to publication
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)).
Authors: 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. Download (298.8 KB)
1995 year
Authors: 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.
1995 year
Authors: Diamond P., Kloeden P., Kozyakin V., Pokrovskii A.
On the fragmentary complexity of symbolic sequences. Theoretical Computer Science, 148, 1 (1995), 1-17. Download (195 KB)
1995 year
Authors: 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. Download (279.9 KB)
1995 year
Authors: Diamond P., Kloeden P., Kozyakin V., Pokrovskii A.
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)).
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)). Download (273.8 KB)
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).
Transients in Quasi-controllable systems. Overshooting, stability and instability, Control Engineering Practice, 2, 6 (1994), 871-874. Download (134.5 KB)
1994 year
Authors: 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.
1994 year
Authors: 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. Go to publication
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).
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. Download (191.3 KB)
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. Go to publication
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).
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)).
Influence of Controllability-Type Properties on Reliability and Stability of Desynchronized Systems,IFAC Proceedings Volumes, 25 (8), June 1992, 392-399. Go to publicationDownload (208.2 KB)
1992 year
Authors: Asarin E., Kozyakin V., Kuznetsov N., Krasnosel'skii M.
Analysis of the stability of asynchronous discrete systems, Moscow, Nauka, 1992, 408 pp. Go to publication
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).
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).
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.
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.
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. Go to publication
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).
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)).
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).
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)).
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). Download (445 KB)
1990 year
Authors: 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.
