Plykin-type attractor in nonautonomous coupled oscillators

DOI10.1063/1.3072777zbMath1311.34078arXiv0811.2489OpenAlexW2004619341WikidataQ51843667 ScholiaQ51843667MaRDI QIDQ5251405

Sergey P. Kuznetsov

Publication date: 20 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2489

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Attractors of solutions to ordinary differential equations (34D45) Nonautonomous smooth dynamical systems (37C60)

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Cites Work

• Unnamed Item
• Hyperbolic attractor in a system of coupled non-autonomous van der Pol oscillators: numerical test for expanding and contracting cones
• Hyperbolicity conditions for the Lorenz model
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
• Autonomous coupled oscillators with hyperbolic strange attractors
• SOURCES AND SINKS OFA-DIFFEOMORPHISMS OF SURFACES
• Mathematical Problems of Nonlinear Dynamics: A Tutorial
• Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor
• Ergodic theory of chaos and strange attractors