Nonlinear Transport in the Stochastic Standard Map
Chaotic Dynamics
2015-07-13 v1 Dynamical Systems
Probability
Abstract
We study a stochastically-driven standard map. The addition of a noise term destroys the invariant manifolds that organize the phase space which allows for more widespread transport than in the noiseless case. Using appropriately defined hitting times to quantify the dynamics, we identify two qualitatively different classes of transport: linear and nonlinear. Linear transport is primarily driven by the stochasticity in the system, while nonlinear transport results from a combination of the nonlinear dynamics and stochasticity and provides a significant speed-up in transport.
Cite
@article{arxiv.1507.02735,
title = {Nonlinear Transport in the Stochastic Standard Map},
author = {Per Sebastian Skardal and Adam M. Fox},
journal= {arXiv preprint arXiv:1507.02735},
year = {2015}
}