Modifying the onset of homoclinic chaos. Application to a bistable potential
chao-dyn
2009-10-22 v1 Chaotic Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.chao-dyn/9304006,
title = {Modifying the onset of homoclinic chaos. Application to a bistable potential},
author = {G. Cicogna and L. Fronzoni},
journal= {arXiv preprint arXiv:chao-dyn/9304006},
year = {2009}
}
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