The effect of colored noise on heteroclinic orbits
Classical Physics
2019-05-01 v1
Abstract
The dynamics of a weakly dissipative Hamiltonian system submitted to stochastic perturbations has been investigated by means of asymptotic methods. The probability of noise-induced separatrix crossing, which drastically changes the fate of the system, is derived analytically in the case where noise is an additive Kubo-Anderson process. This theory shows how the geometry of the separatrix, as well as the noise intensity and correlation time, affect the statistics of crossing. Results can be applied to a wide variety of systems, and are valid in the limit where the noise correlation time scale is much smaller than the time scale of the undisturbed Hamiltonian dynamics.
Keywords
Cite
@article{arxiv.1903.11450,
title = {The effect of colored noise on heteroclinic orbits},
author = {Jean-Régis Angilella},
journal= {arXiv preprint arXiv:1903.11450},
year = {2019}
}