170 citations · 3k across the 103 of their papers we have counts for
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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…
Modulational Estimate for Fermi-Pasta-Ulam Chain Lyapunov Exponents
Thierry Dauxois, Stefano Ruffo, Alessandro Torcini
In the framework of the Fermi-Pasta-Ulam (FPU) model, we show a simple method to give an accurate analytical estimation of the maximal Lyapunov exponent at high energy density. The…
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…
Order Parameter for the Transition from Phase to Amplitude Turbulence
Alessandro Torcini
The maximal conserved phase gradient is introduced as an order parameter to characterize the transition from phase- to defect-turbulence in the complex Ginzburg-Landau equation. It…
Studies of Phase Turbulence in the One Dimensional Complex Ginzburg-Landau Equation
Alessandro Torcini, Helge Frauenkron, Peter Grassberger
The phase-turbulent (PT) regime for the one dimensional complex Ginzburg-Landau equation (CGLE) is carefully studied, in the limit of large systems and long integration times, usin…
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…
ERROR PROPAGATION IN EXTENDED CHAOTIC SYSTEMS
A. Torcini, P. Grassberger, A. Politi
A strong analogy is found between the evolution of localized disturbances in extended chaotic systems and the propagation of fronts separating different phases. A condition for the…
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…