Bifurcation Analysis of a Stochastically Driven Limit Cycle
Dynamical Systems
2019-02-19 v2
Abstract
We establish the existence of a bifurcation from an attractive random equilibrium to shear-induced chaos for a stochastically driven limit cycle, indicated by a change of sign of the first Lyapunov exponent. This addresses an open problem posed by Kevin Lin and Lai-Sang Young, extending results by Qiudong Wang and Lai-Sang Young on periodically kicked limit cycles to the stochastic context.
Keywords
Cite
@article{arxiv.1606.01137,
title = {Bifurcation Analysis of a Stochastically Driven Limit Cycle},
author = {Maximilian Engel and Jeroen S. W. Lamb and Martin Rasmussen},
journal= {arXiv preprint arXiv:1606.01137},
year = {2019}
}