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)