Imperfect Homoclinic Bifurcations
arXiv:nlin/0103054 · doi:10.1103/PhysRevE.64.036208
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.
8 pages, 11 figures, submitted to PRE
Cited by in corpus (6)
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- Homoclinic bifurcations in low-Prandtl-number Rayleigh-Bénard convection with uniform rotation
- Effects of a small magnetic field on homoclinic bifurcations in a low-Prandtl-number fluid
- Travelling fronts in an array of coupled symmetric bistable units
- Transitions near the onset of low Prandtl-number rotating magnetoconvection