arXiv subjects

Alessandro Torcini

Publications and source records attributed to Alessandro Torcini.

93 records · Page 6Linked to original sources

arXiv1995

A Novel Integration Scheme for Partial Differential Equations: an Application to the Complex Ginzburg-Landau Equation

A new integration scheme, combining the stability and the precision of usual pseudo-spectral codes with the locality of finite differences methods, is introduced. It turns out to be particularly suitable for the study of front and disturbance propagation in extended systems. An application to the complex Ginzburg-Landau equation shows the higher precision of this method with respect to spectral ones.

solv-int↗

arXiv1995

Chronotopic Lyapunov Analysis: (I) a Comprehensive Characterization of 1D Systems

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 description of all the possible disturbances in tangent space. The analysis is carried out for chaotic and periodic spatiotemporal patterns. Singularities of the spectra and localization properties of the associated Lyapunov vectors are discussed.

chao-dyn↗

arXiv1994

Linear And Nonlinear Mechanisms Of Information Propagation

The mechanisms of information transmission are investigated in a lattice of coupled continuous maps, by analyzing the propagation of both finite and infinitesimal disturbances. Two distinct regimes are detected: in the former case, both classes of perturbations spread with the same velocity; in the latter case, finite perturbations propagate faster than infinitesimal ones. The transition between the two phases is also investigated by determining the scaling behaviour of the order parameter.

chao-dyn↗