170 citations · 3k across the 103 of their papers we have counts for
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A Novel Integration Scheme for Partial Differential Equations: an Application to the Complex Ginzburg-Landau Equation
Alessandro Torcini, Helge Frauenkron, Peter Grassberger
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 b…
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…