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

Preprint

4 October 2007

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.nlin/0609039

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.

Keywords

COMPLEX SUSCEPTIBILITY
UPPER HALF COMPLEX
HALF COMPLEX PLANE
TIME SERIES
HENON MAP

All Related Versions

Version 1, 2006-09-15, ArXiv
Version 2, 2007-10-04, ArXiv
Published version: Nonlinearity, 20 (12), 2883.

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