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: Krasnosel'skii A., 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)
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)
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)
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., Krasnosel'skii A., 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)
Nontrivial bifurcations at infinity. Proceedings of the Int. conference "Differential equations and topology", Moscow, 2008, 148-149 [Russian] Go to publicationDownload (122.7 KB)
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., Krasnosel'skii A., 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)
Asymptotics of the Arnold tongues in problems at infinity, Discrete and Continuous Dynamical Systems- Series A, 2008, 20, ¹4, 989-1011. Download (328 KB)
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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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)
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)
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)
Nonlocal theorems on Hopf bifurcations, Abstracts of international conference Kolmogorov and contemporary mathematics, Moscow, 2003, 67-68 Download (97.7 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)
On subharmonics bifurcation in equations with homogeneous nonlinearities, Discrete and Continuous Dynamical Systems, 7, 7, 2001, 100-114 Download (278.7 KB)
