Forcing, damping and detuning for single and coupled Van der Pol oscillators
Published online by Cambridge University Press: 20 March 2014
Abstract
We use Melnikov function techniques together with geometric methods of bifurcation theory to study the interactions of forcing, damping and detuning on resonant periodic orbits for single and coupled forced Van der Pol oscillators. For a coupled pair the local bifurcation geometry is almost everywhere described in terms of the singularities of a line congruence in three dimensions.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 2 , April 2014 , pp. 267 - 297
- Copyright
- Copyright © Royal Society of Edinburgh 2014
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