Lyapunov Exponents from Node-Counting Arguments
chao-dyn
2007-05-23 v1 Condensed Matter
Chaotic Dynamics
Pattern Formation and Solitons
patt-sol
Abstract
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 chaotic states and the Schr\"odinger problem for a particle in a disordered potential. As a consequence, we propose an alternative method to compute the Lyapunov spectrum. The implications on the foundation of the recently proposed ``chronotopic approach'' are also discussed.
Keywords
Cite
@article{arxiv.chao-dyn/9803002,
title = {Lyapunov Exponents from Node-Counting Arguments},
author = {Antonio Politi and Alessandro Torcini and Stefano Lepri},
journal= {arXiv preprint arXiv:chao-dyn/9803002},
year = {2007}
}
Comments
Latex, 8 pages, 4 Figs - Contribution to the Conference "Disorder and Chaos" held in memory of Giovanni Paladin (Sept. 1997 - Rome) - submitted to J. de Physique