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The Gallavotti-Cohen Fluctuation Theorem for a non-chaotic model
S. Lepri, L. Rondoni, G. Benettin
We test the applicability of the Gallavotti-Cohen fluctuation formula on a nonequilibrium version of the periodic Ehrenfest wind-tree model. This is a one-particle system whose dyn…
Lyapunov Exponents from Node-Counting Arguments
Antonio Politi, Alessandro Torcini, Stefano Lepri
A conjecture connecting Lyapunov exponents of coupled map lattices and the node theorem is presented. It is based on the analogy between the linear stability analysis of extended c…
Entropy potential and Lyapunov exponents
Stefano Lepri, Antonio Politi, Alessandro Torcini
According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function: the entropy potenti…
Disturbance propagation in chaotic extended systems with long-range coupling
Alessandro Torcini, Stefano Lepri
Propagation of initially localized perturbations is investigated in chaotic coupled map lattices with long-range couplings decaying as a power of the distance. The initial perturba…
Chronotopic Lyapunov Analysis: (II) towards a Unified Approach
Stefano Lepri, Antonio Politi, Alessandro Torcini
From the analyticity properties of the equation governing infinitesimal perturbations, it is shown that all stability properties of spatially extended 1D systems can be derived fro…
Chronotopic Lyapunov Analysis: (I) a Comprehensive Characterization of 1D Systems
Stefano Lepri, Antonio Politi, Alessandro Torcini
Instabilities in 1D spatially extended systems are studied with the aid of both temporal and spatial Lyapunov exponents. A suitable representation of the spectra allows a compact d…