Imperfect homoclinic bifurcations

Glendinning, Paul and Abshagen, Jan and Mullin, Tom (2001) Imperfect homoclinic bifurcations. Physical Review E, 64 (3). 036208. ISSN 1539-3755

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Official URL: http://link.aps.org/abstract/PRE/v64/e036208

Abstract

Experimental observations of an almost symmetric electronic circuit show complicated sequences of bifurcations. These results are discussed in the light of a theory of imperfect global bifurcations. It is shown that much of the dynamics observed in the circuit can be understood by reference to imperfect homoclinic bifurcations without constructing an explicit mathematical model of the system.

Item Type: Article
Subjects: PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 00 GENERAL PHYSICS > 02 Mathematical methods in physics
PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 00 GENERAL PHYSICS > 05 Statistical physics, thermodynamics, and nonlinear dynamical systems
Depositing User: Professor Paul Glendinning
Date Deposited: 18 May 2006
Last Modified: 20 Oct 2017 14:12
URI: http://eprints.maths.manchester.ac.uk/id/eprint/261

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