The Hopf bifurcation with bounded noise
Dynamical Systems
2011-08-23 v1
Abstract
We study Hopf-Andronov bifurcations in a class of random differential equations (RDEs) with bounded noise. We observe that when an ordinary differential equation that undergoes a Hopf bifurcation is subjected to bounded noise then the bifurcation that occurs involves a discontinuous change in the Minimal Forward Invariant set.
Keywords
Cite
@article{arxiv.1108.4053,
title = {The Hopf bifurcation with bounded noise},
author = {Ryan Botts and Ale Jan Homburg and Todd Young},
journal= {arXiv preprint arXiv:1108.4053},
year = {2011}
}
Comments
Color figure version of a manuscript to appear in Discrete and Continuous Dynamics Systems - A