A Relationship Between Parametric Resonance and Chaos

Details A Relationship Between Parametric Resonance and Chaos A Relationship Between Parametric Resonance and Chaos

2000-05-02

arxiv.org/abs/nlin/0005005v1

Nonlinear Sciences

Chaotic Dynamics

7 pages, 6 figures, uses ReVTeX-beta

Scientific paper

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).

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