Chaos in periodically forced reversible vector fields
Dynamical Systems
2019-09-10 v2
Abstract
We discuss the appearance of chaos in time-periodic perturbations of reversible vector fields in the plane. We use the normal forms of codimension~ reversible vector fields and discuss the ways a time-dependent periodic forcing term of pulse form may be added to them to yield topological chaotic behaviour. Chaos here means that the resulting dynamics is semi-conjugate to a shift in a finite alphabet. The results rely on the classification of reversible vector fields and on the theory of topological horseshoes. This work is part of a project of studying periodic forcing of symmetric vector fields.
Keywords
Cite
@article{arxiv.1901.09009,
title = {Chaos in periodically forced reversible vector fields},
author = {Isabel S. Labouriau and Elisa Sovrano},
journal= {arXiv preprint arXiv:1901.09009},
year = {2019}
}