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Reconstruction of systems with delayed feedback: (II) Application
M. J. Bünner, M. Ciofini, A. Giaquinta +4
We apply a recently proposed method for the analysis of time series from systems with delayed feedback to experimental data generated by a CO_2 laser. The method is able to estimat…
General properties of propagation in chaotic systems
G. Giacomelli, R. Hegger, A. Politi +1
We conjecture that in one-dimensional spatially extended systems the propagation velocity of correlations coincides with a zero of the convective Lyapunov spectrum. This conjecture…
Finite thermal conductivity in 1d lattices
C. Giardina', R. Livi, A. Politi +1
We discuss the thermal conductivity of a chain of coupled rotators, showing that it is the first example of a 1d nonlinear lattice exhibiting normal transport properties in the abs…
Analytic estimate of the maximum Lyapunov exponent in coupled-map lattices
F. Cecconi, A. Politi
In this work we present a theoretical and numerical study of the behaviour of the maximum Lyapunov exponent for a generic coupled-map-lattice in the weak-coupling regime. We explai…
Fractal dimension of space-time chaos
Antonio Politi, Annette Witt
A class of simplified measures is constructed to capture the key features of generic spatio-temporally chaotic systems. A combined analytical and numerical investigation allows us…
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…
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…