Chronotopic Lyapunov Analysis: (II) towards a Unified Approach
chao-dyn
2009-10-28 v1 Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.chao-dyn/9602012,
title = {Chronotopic Lyapunov Analysis: (II) towards a Unified Approach},
author = {Stefano Lepri and Antonio Politi and Alessandro Torcini},
journal= {arXiv preprint arXiv:chao-dyn/9602012},
year = {2009}
}
Comments
Latex Version - No figures - Ps-Figures are available via anonymous ftp at ftp://wpts0.physik.uni-wuppertal.de/pub/torcini/jsp2