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Does the complex susceptibility of the Henon map have a pole in the upper-half plane ? A numerical investigation

B. Cessac
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Abstract

It has been rigorously shown in [Ruelle, 2005] that the complex susceptibility of chaotic maps of the interval can have a pole in the upper-half complex plane. We develop a numerical procedure allowing to exhibit this pole from time series. We then apply the same analysis to the Henon map and conjecture that the complex susceptibility has also a pole in the upper-half complex plane.

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B. Cessac. 2007-10-04. Does the complex susceptibility of the Henon map have a pole in the upper-half plane ? A numerical investigation. https://doi.org/10.1088/0951-7715%2F20%2F12%2F007

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