Chaos in limit cycle systems with external periodic excitations

DOI10.1016/0020-7462(87)90028-XzbMath0631.34040MaRDI QIDQ1094574

A. Kunick, Willi-Hans Steeb

Publication date: 1987

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

zbMATH Keywords

external periodic excitationlimit cyclechaotic behavioursingular point analysis

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

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Neimark bifurcation, almost-periodicity and chaos in the forced van der Pol-Duffing system in the neighbourhood of the principal resonance ⋮ Nonlinear dynamics and strange attractors in the biological system ⋮ VIBRATION ANALYSIS OF A SELF-EXCITED SYSTEM WITH PARAMETRIC FORCING AND NONLINEAR STIFFNESS ⋮ Chaos in mechanical systems -- a review ⋮ Synchronization of coupled kicked limit cycle systems ⋮ On the numerical approximation of trajectories in the phase plane ⋮ Dynamical Response of a Van der Pol System with an External Harmonic Excitation and Fractional Derivative

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