Resonance effects for the Bonhoeffer-van der Pol system are analysed in the range where a limit cycle and a stable focus coexist. As usual, resonance effects are obtained by external periodic forcing at initial points near the focus, which turns into a small limit cycle. For certain inputs, a transi
Systems of van der pol equations in the resonance case
β Scribed by G. P. Khoma
- Book ID
- 112480106
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 210 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
## Abmwer-This paper is a review of approaches to undemtadq ~~~dynnmiesinthef~vanderPoleqoation,Inaddition,it dkwesthephe5omenaofentrainmentadfh3elorpingfromthepoint ofviewofdyndcalsystemstheory.Therearetwo~regionsoftbe pmmeterspacessherecbmticmotionbasbeenadyzdIbefirstoccurs inanearlylinearsy5temn
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