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Transition to chaos in a generalized van der Pol's equation

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Publication:3970318
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DOI10.1016/0022-460X(90)90575-KzbMath0735.34034OpenAlexW2072437485MaRDI QIDQ3970318

Tomasz Kapitaniak, Willi-Hans Steeb

Publication date: 25 June 1992

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(90)90575-k


zbMATH Keywords

chaotic behaviourqualitative behaviourexternal periodic forcegeneralized van der Pol equation


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)


Related Items (4)

VIBRATION ANALYSIS OF A SELF-EXCITED SYSTEM WITH PARAMETRIC FORCING AND NONLINEAR STIFFNESS ⋮ Dynamical Response of a Van der Pol System with an External Harmonic Excitation and Fractional Derivative ⋮ Invertible point transformations, Painlevé test, and the second Painlevé transcendent ⋮ Complex dynamics in Duffing-Van der Pol equation



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