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.
267-297
Chillingworth, D.R.J
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Afshar-Nejad, Z
e64e70e9-d12f-466d-8548-9a59f9a51df4
April 2014
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), .
(doi:10.1017/S0308210511000540).
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
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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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