Imperfect Homoclinic Bifurcations

Details Imperfect Homoclinic Bifurcations Imperfect Homoclinic Bifurcations

2001-03-28

arxiv.org/abs/nlin/0103054v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, 11 figures, submitted to PRE

Scientific paper

10.1103/PhysRevE.64.036208

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.

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