Multistability and transition to chaos in the degenerate Hamiltonian system with weak nonlinear dissipative perturbation
Chaotic Dynamics
2015-06-17 v1
Abstract
The effect of small nonlinear dissipation on the dynamics of system with stochastic web which is linear oscillator driven by pulses is studied. The scenario of coexisting attractors evolution with the increase of nonlinear dissipation is revealed. It is shown that the period-doubling transition to chaos is possible only for third order resonance and only hard transitions can be seen for all other resonances.
Keywords
Cite
@article{arxiv.1311.3222,
title = {Multistability and transition to chaos in the degenerate Hamiltonian system with weak nonlinear dissipative perturbation},
author = {E. V. Felk and A. P. Kuznetsov and A. V. Savin},
journal= {arXiv preprint arXiv:1311.3222},
year = {2015}
}
Comments
17 pages, 15 figures