Lyapunov exponents from node-counting arguments

Year: 1998

Authors: Politi A., Torcini A., Lepri S.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy; Dipartimento di Energetica S. Stecco, 50139 Firenze, Italy;
Max Planck Institut für Physik Koplexer Systeme, 01187 Dresden, Germany;
Istituto Nazionale di Fisica della Materia, Unità di Firenze, Italy;
Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Italy

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 Schrodinger 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.

Journal/Review: JOURNAL DE PHYSIQUE IV

Volume: 8 (P6)      Pages from: 263  to: 270

KeyWords: SYSTEMS
DOI: 10.1051/jp4:1998636

Citations: 6
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