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Resonances in chaotic dynamics

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Abstract

We present a discussion and some numerical results on the actual possibility of making accessible, by numerical techniques, the complex singularities of the power spectrum (resonances) for a chaotic signal. Hénon's transformation is investigated in detail, showing that the position of the leading resonance in the complex frequency plane determines the kind of mixing rate in the time evolution.

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  1. Dipartimento di Fisica, Università di Firenze, I-50125, Firenze, Italy

    Stefano Isola

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  1. Stefano Isola
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Communicated by J.-P. Eckmann

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Isola, S. Resonances in chaotic dynamics. Commun.Math. Phys. 116, 343–352 (1988). https://doi.org/10.1007/BF01225260

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  • DOI: https://doi.org/10.1007/BF01225260

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