Abstract
It has been rigorously shown in Ruelle (2005 Commun. Math. Phys. 258 445–53) 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 us to exhibit this pole from time series. We then apply the same analysis to the Hénon map and conjecture that the complex susceptibility also has a pole in the upper-half complex plane.
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