Homoclinic transition to chaos in the Ueda oscillator with external forcing
Chaotic Dynamics
2007-05-23 v1
Abstract
We examine the Melnikov criterion for transition to chaos in case of a single degree of freedom nonlinear oscillator with the Ueda well potential and an external periodic excitation term. Using effective Hamiltonian we have examined homoclinic orbits and cross-sections of stable and unstable manifolds which gave the condition of transition to chaos through a homoclinic bifurcation.
Keywords
Cite
@article{arxiv.nlin/0610018,
title = {Homoclinic transition to chaos in the Ueda oscillator with external forcing},
author = {Grzegorz Litak and Arkadiusz Syta and Marek Borowiec},
journal= {arXiv preprint arXiv:nlin/0610018},
year = {2007}
}
Comments
16 pages, 9 figures