Alexei V. Pokrovskii (02.06.1948 -- 01.09.2010). Discrete and Continuous Dynamical Systems, Series B, 18, #2, 2013, p. i-iii Download (1.5 MB)
2013 year
Authors: 43
Resonant forced oscillations in systems with periodic nonlinearities, Discrete and Continuous Dynamical Systems, Series A, 2013, 33, ¹1,239-254 Download (461.2 KB)
2013 year
Authors: 43, O'Grady E., Pokrovskii A.V., Rachinskii D.
Periodic canard trajectories with multiple segments following the unstable part of critical manifold, Discrete and Continuous Dynamical Systems, Series B, 18, ¹2, 2013, 467-482 Download (317.7 KB)
2013 year
Authors: 43
Unbounded sequences of cycles in general autonomous equations with periodic nonlinearities, Discrete and Continuous Dynamical Systems, Series S, 2013, 6, ¹4, 999-1016 Download (408.2 KB)
2011 year
Authors: 43
System with periodic nonlinearities, Doklady mathematics, 83, ¹3, 2011, 328–331 Download (213.1 KB)
2010 year
Authors: 43
Hopf Bifurcations at infinity. In "Modern methods in the theory of boundary value problems", Voronezh, VSU publ., 2010, 127-128 [Russian] Download (102.6 KB)
2010 year
Authors: 43
Singular Andronov-Hopf bifurcations at infinity, Automation and Remote Control, 2010, 72, 11, 2307-2319 Download (495.2 KB)
2010 year
Authors: 43
Index at infinity and bifurcations of twice degenerate vector fields, Topological Methods in Nonlinear Analysis, 35, ¹1, 2010, 99-126 Download (351.9 KB)
2010 year
Authors: O'Ceallaigh S., 43, Pimenov A., Rachinskii D.
Fold bifurcations and linear stability analysis in systems with Preisach hysteresis, in ``Rate-Independent Evolutions and Material Modeling"" (Special Section of EQUADIFF 2007), T. Roubicek and U. Stefanelli (Eds.), Pubblicazione IMATI-CNR, 29PV10/27/0, Pavia, ISSN 1772-8964, 2010, 39-44 Go to publication
Bifurcations to unbounded sequence of cyclic branches of solutions, Abstracts of the Fifth International Conference on Differential and Functional Differential Equations, DFDE2008, Moscow, Russia, August 17-24, 2008, 38-39. Download (53.8 KB)
2008 year
Authors: 43, I. Rachinskii D.
Nontrivial bifurcations at infinity. Proceedings of the Int. conference "Differential equations and topology", Moscow, 2008, 148-149 [Russian] Go to publicationDownload (122.7 KB)
2008 year
Authors: 43, Rachinskii D.
On disconnected unbounded sets of forced oscillations, Doklady Mathematics, 2008, 78, No.2, 660-664 Download (192.6 KB)
Arnold tongues for bifurcation from infinity, Discrete and Continuous Dynamical Systems - Series S, 1, ¹1 (2008) 107-116 . Download (205.6 KB)
2008 year
Authors: 43, Rachinskii D.I.
Criterion of nonlinear resonance appearence in single-loop control system with saturation, Avtomatika i telemehanika, 8, 2008, 33-47 [Russian] Download (379.1 KB)
2008 year
Authors: Bouse E., 43, Pokrovskii A.V., Rachinskii D.I.
Non-local Branches of Cycles, Bi-stability, and Mixed Mode Oscillations, Chaos, 18, ¹1, 015109 (2008). Download (214.2 KB)
2008 year
Authors: 43
Double degeneration in the problem on unbounded branches of forced oscillations, Doklady Mathematics, 77, ¹2, 2008, 170-174
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Asymptotics of the Arnold tongues in problems at infinity, Discrete and Continuous Dynamical Systems- Series A, 2008, 20, ¹4, 989-1011. Download (328 KB)
2007 year
Authors: 43, Pokrovskii A.V.
Topologically stable subharmonics of large periods and amplitudes, Differential equations, 43, ¹2 (2007) 218-245 Download (435.6 KB)
2006 year
Authors: 43, Pokrovskii A.V.
Dissipativity of pendulum with ferromagnetic friction, Automation and Remote Control, 67, 2 (2006) 221-232 Download (351 KB)
2006 year
Authors: 43, D.I.Rachinskii
Subharmonic bifurcation at infinity, Journal of Differential Equations, 226, 1, 2006, 30-53 Download (206.7 KB)
Arnold Tongues in the Problem of Large-Amplitude Periodic Trajectories, Doklady Mathematics,74, 3 (2006) 821-827
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2005 year
Authors: 43, Rachinskii D.I.
On the number of branches of periodic solutions, EQUADIFF 2003, World Scientific Publishing, 2005, 246-248 Download (113.5 KB)
2005 year
Authors: 43, Rachinskii D.I.
On a number of solution branches at asymptotic bifurcation point, Functional analysis and applications, 39, 3 (2005) 194-206
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2005 year
Authors: 43, Rachinskii D.I.
Bifurcation of forced periodic oscillations for equation with Preisach hysteresis, Journal of Physics. Conference Series, 22, 2005, 93-102 Download (182.4 KB)
2004 year
Authors: 43, Pokrovskii A.V., Rachinskii D.I.
A comparison of guaranteed estimates for the rate of convergence of a class of iterative procedures, Automation and Remote Control, 65, 10 (2004) 1635-1640
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2004 year
Authors: 43, Rachinskii D.I.
Branching at infinity of solutions to equations with degeneration of multiplicity 2, Doklady Mathematics, 69, 1 (2004) 79-83 Download (238.4 KB)
Sinchronized double frequency oscillations in a class of weakly resonant systems, Nonlinear Analysis. Theory, Methods & Applications, 57, 7-8, 2004, 929-949 Download (610.9 KB)
2004 year
Authors: 43, Pokrovskii A.V.
Large subharmonics of pendulum-like equations, In `The first 60 years of NONLINEAR ANALYSIS of JEAN MAWHIN`, Eds. M. Delgado, J.Lopez-Gomez, R.Ortega, A.Suarez, World Scientific Publishing, 2004, 103-116 Download (212.8 KB)
2003 year
Authors: 43, Rachinskii D.I.
On global branches of cycles and Hopf byfurcations, Proceedings of international conference "Modern problems on functional analysis and differential equations", Voronezh, 2003, 159-161 [Russian] Download (93.9 KB)
2003 year
Authors: 43, Rachinskii D.I.
Nonlocal theorems on Hopf bifurcations, Abstracts of international conference Kolmogorov and contemporary mathematics, Moscow, 2003, 67-68 Download (97.7 KB)
2003 year
Authors: 43, Rachinskii D.I.
On a nonlocal condition for the existence of cycles of hysteresis systems, Automation and Remote Control, 64, 2 (2003) 231-251 Download (344.7 KB)
Remark on Rotation of Bilinear Vector Fields, Preprint No. 04/2003 of the School of Mathematics, Applied Mathematics and Statistics, National University of Ireland, University College, Cork, 2003, 1-9 Download (114.4 KB)
2003 year
Authors: 43, Pokrovskii A.V.
Subharmonics of large amplitudes in a semilinear Duffing oscillator, Doklady Mathematics, 68, 1 (2003) 84-88 Download (244.2 KB)
2003 year
Authors: 43, D.I.Rachinskii
On continuous branches of cycles in systems with nonlinearizable nonlinearities, Doklady Mathematics, 67, 2 (2003) 153-157 Download (228.8 KB)
2003 year
Authors: 43, Rachinskii D.I.
Continua of cycles of higher-order equations, Differential Equations, 39, 12 1690-1702 (2003) Download (203.6 KB)
2003 year
Authors: 43, Rachinskii D.I.
On continuous branches of twice periodic solutions of some PDE, Functional Differential Equations, 10, 1-2, 2003, 291-301 Download (204 KB)
2002 year
Authors: 43, Rachinskii D.I., Mennicken R.
Small periodic solutions generated by sublinear terms, Journal of Differential Equations, 179, 2002, 97-132 Download (234.3 KB)
2002 year
Authors: 43, Mennicken R., Rachinskii D.I.
Cycle stability for Hopf bifurcation, generated by sublinear terms, Mathematische Nachrichten, 235, 2002, 171-195 Download (317.3 KB)
2002 year
Authors: 43, Rachinskii D.I.
On a bifurcation governed by hysteresis nonlinearity, Nonlinear Differential Equations and Applications, 9, 2002, 93-115 Download (284.2 KB)
2002 year
Authors: 43, Rachinskii D.I., Kuznetsov N.A.
On resonant differential equations with unbounded nonlinearities, Journal for Analysis and Applications, 21, 3, 2002, 639-668
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2002 year
Authors: 43, Rachinskii D.I.
On existence of cycles in autonomous systems, Doklady Mathematics, 65, 3, (2002) 344-349 Download (245.6 KB)
2001 year
Authors: 43, Rachinskii D.I.
Continua of Cycles in Hamiltonian Control Systems, Automation and Remote Control, 62, 2 (2001) 227-235 Download (253.8 KB)
2001 year
Authors: 43, Rachinskii D.I.
On continua of cycles in systems with hysteresis, Doklady Mathematics, 63, 3, 243-248 (2001) Download (261.5 KB)
2001 year
Authors: 43, Pokrovskii A.V.
On subharmonics bifurcation in equations with homogeneous nonlinearities, Discrete and Continuous Dynamical Systems, 7, 7, 2001, 100-114 Download (278.7 KB)
2001 year
Authors: 43, Cross R., Pokrovskii A.V.
Time-dependent Preisach nonlinearities and their properties, Doklady Mathematics, 64, 3 (2001) 435-438 Download (92.9 KB)
2001 year
Authors: Bliman P.-A., 43, Rachinskii D.I.
On strong resonances for Hopf bifurcations in control systems, Automation and Remote Control, 62 2 (2001) 1783-1802 Download (389.3 KB)
