Chaotic Motions of the Duffing-Van der Pol Oscillator with External and Parametric Excitations

Chaotic Motions of the Duffing-Van der Pol Oscillator with External and Parametric Excitations

The chaotic motions of the Duffing-Van der Pol oscillator with external and parametric excitations are investigated both analytically and numerically in this paper. The critical curves separating the chaotic and nonchaotic regions are obtained. The chaotic feature on the system parameters is discuss...

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Veröffentlicht in:Shock and vibration 2014-01, Vol.2014 (2014), p.1-5
Hauptverfasser: Zhou, Liangqiang, Chen, Fangqi
Format: Artikel
Sprache:eng
Schlagworte:
Behavior
Chaos theory
Dynamical systems
Dynamics
Excitation
Frequency response (Dynamics)
Mathematical analysis
Mathematical models
Mechanical properties
Numerical analysis
Orbits
Oscillators
Oscillators (Electronics)
Vibration
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Zusammenfassung:The chaotic motions of the Duffing-Van der Pol oscillator with external and parametric excitations are investigated both analytically and numerically in this paper. The critical curves separating the chaotic and nonchaotic regions are obtained. The chaotic feature on the system parameters is discussed in detail. Some new dynamical phenomena including the controllable frequency are presented for this system. Numerical results are given, which verify the analytical ones.
ISSN:1070-9622
1875-9203
DOI:10.1155/2014/131637