| Numéro |
J. Phys. IV France
Volume 08, Numéro PR6, October 1998
International Conference on Disorder and Chaos in honour of Giovanni Paladin
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|---|---|---|
| Page(s) | Pr6-263 - Pr6-270 | |
| DOI | https://doi.org/10.1051/jp4:1998636 | |
International Conference on Disorder and Chaos in honour of Giovanni Paladin
J. Phys. IV France 08 (1998) Pr6-263-Pr6-270
DOI: 10.1051/jp4:1998636
1 Istituto Nazionale di Ottica, 50125 Firenze, Italy
2 Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, 50125 Firenze, Italy
3 Dipartimento di Energetica S. Stecco, 50139 Firenze, Italy
4 Istituto Nazionale di Fisica della Materia, Unità di Firenze, 50125 Firenze, Italy
5 Max-Planck-Institut für Physik Komplexer Systeme, 01187 Dresden, Germany
© EDP Sciences 1998
J. Phys. IV France 08 (1998) Pr6-263-Pr6-270
DOI: 10.1051/jp4:1998636
Lyapunov exponents from node-counting arguments
A. Politi1, 2, A. Torcini3, 4 and S. Lepri51 Istituto Nazionale di Ottica, 50125 Firenze, Italy
2 Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, 50125 Firenze, Italy
3 Dipartimento di Energetica S. Stecco, 50139 Firenze, Italy
4 Istituto Nazionale di Fisica della Materia, Unità di Firenze, 50125 Firenze, Italy
5 Max-Planck-Institut für Physik Komplexer Systeme, 01187 Dresden, Germany
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 Schrödinger 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.
© EDP Sciences 1998