Numerical evidence of linear response violations in chaotic systems
Résumé
It has been rigorously shown in \cite{CMP} that the complex susceptibility for chaotic maps of the interval can have a pole in the upper complex plane. I develop a numerical procedure allowing to exhibit this pole from time series. I then apply the same analysis to the Hénon map and conjecture that the complex susceptibility has also a pole in the upper half complex plane.