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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2004

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

Résumé

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.

Dates et versions

hal-00013127 , version 1 (24-11-2005)

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Bruno Cessac, J. A. Sepulchre. Stable resonances and signal propagation in a chaotic network of coupled units. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2004, 70, pp.056111. ⟨10.1103/PhysRevE.70.056111⟩. ⟨hal-00013127⟩
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