Hidden Attractors and Dynamics of a General Autonomous van der Pol–Duffing Oscillator

DOI10.1142/S0218127414500801zbMath1296.34137OpenAlexW2040978808MaRDI QIDQ3191237

Yiping Lin, Yunxian Dai, Huitao Zhao

Publication date: 1 October 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127414500801

zbMATH Keywords

Hopf bifurcationchaotic attractorhidden attractorvan der Pol-Duffing oscillator

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) 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) Attractors of solutions to ordinary differential equations (34D45)

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Cites Work

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• HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
• A chaotic attractor from Chua's circuit
• Attraktorlokalisierung des Lorenz-Systems
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