A Relationship Between Parametric Resonance and Chaos

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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).
7 pages, 6 figures, uses ReVTeX-beta

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