A Relationship Between Parametric Resonance and Chaos
Chaotic Dynamics
2007-05-23 v1
Abstract
In this paper we study two types of exponential instability -- parametric resonance and chaos. We show that a given equation may produce chaos or parametric resonance, depending how the problem is defined. In so doing we establish a relationship between the Floquet indices (associated with parametric resonance) and Lyapunov exponents (associated with chaos).
Keywords
Cite
@article{arxiv.nlin/0005005,
title = {A Relationship Between Parametric Resonance and Chaos},
author = {R. Kobes and S. Peles},
journal= {arXiv preprint arXiv:nlin/0005005},
year = {2007}
}
Comments
7 pages, 6 figures, uses ReVTeX-beta