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

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

2006-09-15

arxiv.org/abs/nlin/0609039v2

Nonlinearity 20 2883-2895 (2007).

Nonlinear Sciences

Chaotic Dynamics

15 pages, 5 figures, submited

Scientific paper

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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