Stable resonances and signal propagation in a chaotic network of coupled units

Details Stable resonances and signal propagation in a chaotic network of coupled units Stable resonances and signal propagation in a chaotic network of coupled units

2004-06-23

arxiv.org/abs/cond-mat/0406553v2

Phys. Rev. E 70, 056111, (2004).

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures, to appear in Phys. rev. E

Scientific paper

10.1103/PhysRevE.70.056111

We apply the linear response theory developed in \cite{Ruelle} to analyze how a periodic signal of weak amplitude, superimposed upon a chaotic background, is transmitted in a network of non linearly interacting units. We numerically compute the complex susceptibility and show the existence of specific poles (stable resonances) corresponding to the response to perturbations transverse to the attractor. Contrary to the poles of correlation functions they depend on the pair emitting/receiving units. This dynamic differentiation, induced by non linearities, exhibits the different ability that units have to transmit a signal in this network.

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