Imperfect homoclinic bifurcations

Paul Glendinning, Jan Abshagen, and Tom Mullin
Phys. Rev. E 64, 036208 – Published 21 August 2001
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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.

  • Received 26 March 2001

DOI:https://doi.org/10.1103/PhysRevE.64.036208

©2001 American Physical Society

Authors & Affiliations

Paul Glendinning

  • Department of Mathematics, UMIST, P.O. Box 88, Manchester M60 1QD, United Kingdom

Jan Abshagen and Tom Mullin

  • Manchester Center for Nonlinear Dynamics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom

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Issue

Vol. 64, Iss. 3 — September 2001

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