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A Relationship Between Parametric Resonance and Chaos

R. Kobes·S. Peles
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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).

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R. Kobes, S. Peles. 2000-05-02. A Relationship Between Parametric Resonance and Chaos. https://arxiv.org/abs/nlin/0005005

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