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Chronotopic Lyapunov Analysis: (II) towards a Unified Approach

Stefano Lepri·Antonio Politi·Alessandro Torcini
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Abstract

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 from a single function that we call entropy potential since it gives directly the Kolmogorov-Sinai entropy density. Such a function allows determining also Lyapunov spectra in reference frames where time-like and space-like axes point in general directions in the space-time plane. The existence of an entropy potential implies that the integrated density of positive exponents is independent of the reference frame.

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Stefano Lepri, Antonio Politi, Alessandro Torcini. 1996-02-09. Chronotopic Lyapunov Analysis: (II) towards a Unified Approach. https://doi.org/10.1007/bf02508463

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