Reducing or enhancing chaos using periodic orbits
Chaotic Dynamics
2007-05-23 v1
Abstract
A method to reduce or enhance chaos in Hamiltonian flows with two degrees of freedom is discussed. This method is based on finding a suitable perturbation of the system such that the stability of a set of periodic orbits changes (local bifurcations). Depending on the values of the residues, reflecting their linear stability properties, a set of invariant tori is destroyed or created in the neighborhood of the chosen periodic orbits. An application on a paradigmatic system, a forced pendulum, illustrates the method.
Keywords
Cite
@article{arxiv.nlin/0601043,
title = {Reducing or enhancing chaos using periodic orbits},
author = {Romain Bachelard and Cristel Chandre and Xavier Leoncini},
journal= {arXiv preprint arXiv:nlin/0601043},
year = {2007}
}