2:2:1 Resonance in the Quasiperiodic Mathieu Equation
β Scribed by Richard Rand; Kamar Guennoun; Mohamed Belhaq
- Book ID
- 110432860
- Publisher
- Springer Netherlands
- Year
- 2003
- Tongue
- English
- Weight
- 87 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0924-090X
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π SIMILAR VOLUMES
The Van der Pol-Mathieu equation, combining self-excitation and parametric excitation, is analysed near and at 1:2 resonance, using the averaging method. We analytically prove the existence of stable and unstable periodic solutions near the parametric resonance frequency. Above a certain detuning th
In this paper Hopf bifurcations for equations of control theory are studied in strong resonance case 2:1. The harmonic linearization approach and topological methods allow to give the sharp analysis of the problem for the case of quadratic principal nonlinearity.