Chaos via duck solution breakdown in a piecewise linear van der Pol oscillator driven by an extremely small periodic perturbation

DOI10.1016/j.physd.2004.02.012zbMath1098.34546OpenAlexW2020076986MaRDI QIDQ1888124

Naohiko Inaba, Takashi Tsubouchi, Munehisa Sekikawa

Publication date: 22 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.02.012

zbMATH Keywords

ChaosBifurcationNonlinear oscillatorDuck solution

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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Coexisting two canards and their breakdown into chaos in the Van der pol oscillator under weak periodic perturbation, Three-dimensional tori and Arnold tongues, Novel bifurcation structure generated in piecewise-linear three-LC resonant circuit and its Lyapunov analysis, ANALYSIS OF TORUS BREAKDOWN INTO CHAOS IN A CONSTRAINT DUFFING VAN DER POL OSCILLATOR, Nested mixed-mode oscillations, Chaos via torus breakdown from a four-dimensional autonomous oscillator with two diodes, Mixed-mode oscillations in a stochastic, piecewise-linear system, Topological degree in analysis of canard-type trajectories in 3-D systems

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