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Forcing, damping and detuning for single and coupled Van der Pol oscillators

Forcing, damping and detuning for single and coupled Van der Pol oscillators
Forcing, damping and detuning for single and coupled Van der Pol oscillators
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.
0308-2105
267-297
Chillingworth, D.R.J
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Afshar-Nejad, Z
e64e70e9-d12f-466d-8548-9a59f9a51df4
Chillingworth, D.R.J
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Afshar-Nejad, Z
e64e70e9-d12f-466d-8548-9a59f9a51df4

Chillingworth, D.R.J and Afshar-Nejad, Z (2014) Forcing, damping and detuning for single and coupled Van der Pol oscillators. Proceedings of the Royal Society of Edinburgh Section A Mathematics, 144 (2), 267-297. (doi:10.1017/S0308210511000540).

Record type: Article

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.

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Accepted/In Press date: 15 February 2013
e-pub ahead of print date: 20 March 2014
Published date: April 2014

Identifiers

Local EPrints ID: 149523
URI: http://eprints.soton.ac.uk/id/eprint/149523
ISSN: 0308-2105
PURE UUID: 75f76335-b7ef-4629-9c44-c4478d5f495e

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Date deposited: 10 May 2010 08:44
Last modified: 14 Mar 2024 01:09

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Author: Z Afshar-Nejad

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