48 citations · 50 across the 2 of their papers we have counts for
4 papers
Linear response, susceptibility and resonances in chaotic toy models
Bruno Cessac, Jacques-Alexandre Sepulchre
We consider simple examples illustrating some new features of the linear response theory developed by Ruelle for dissipative and chaotic systems [{\em J. of Stat. Phys.} {\bf 95} (…
Transmitting a signal by amplitude modulation in a chaotic network
B. Cessac, J. A. Sepulchre
We discuss the ability of a network with non linear relays and chaotic dynamics to transmit signals, on the basis of a linear response theory developed by Ruelle \cite{Ruelle} for…
Stable resonances and signal propagation in a chaotic network of coupled units
B. Cessac, J. A. Sepulchre
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 netwo…
Effective Hamiltonian for traveling discrete breathers in the FPU chain
Michael Kastner, Jacques-Alexandre Sepulchre
For the Fermi-Pasta-Ulam chain, an effective Hamiltonian is constructed, describing the motion of approximate, weakly localized discrete breathers traveling along the chain. The ve…