On the occurrence of chaos in Van der Pol-Duffing's oscillator
β Scribed by J. Awrejcewicz
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 322 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0022-460X
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This paper examines the suppression of hysteresis in a forced nonlinear self-sustained oscillator near the fundamental resonance. The suppression is studied by applying a rapid forcing on the oscillator. Analytical treatment based on perturbation analysis is performed to capture the entrainment zone
We study the effect of high-frequency harmonic excitation on the entrainment area of the main resonance in a van der Pol-Mathieu-Duffing oscillator. An averaging technique is used to derive a self-and parametrically driven equation governing the slow dynamic of the oscillator. The multiple scales me