Modifying the onset of homoclinic chaos. Application to a bistable potential

Details Modifying the onset of homoclinic chaos. Application to a bistable potential Modifying the onset of homoclinic chaos. Application to a bistable potential

1993-04-16

arxiv.org/abs/chao-dyn/9304006v1

Nonlinear Sciences

Chaotic Dynamics

plain Tex

Scientific paper

10.1103/PhysRevE.47.4585

We analyze, by means of Melnikov method, the possibility of modifying the threshold of homoclinic chaos in general 1-dimensional problems, by introducing small periodic resonant modulations. We indicate in particular a prescription in order to increase the threshold (i.e. to prevent chaos), and consider then its application to the bistable Duffing-Holmes potential. All results are confirmed both by numerical and by analog simulations, showing that small modulations can in fact sensibly influence the onset of chaos.

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