LYAPUNOV EXPONENTS FROM NODE-COUNTING ARGUMENTS

Citation
A. Politi et al., LYAPUNOV EXPONENTS FROM NODE-COUNTING ARGUMENTS, Journal de physique. IV, 8(P6), 1998, pp. 263-270
Citations number
15
Categorie Soggetti
Physics
Journal title
ISSN journal
11554339
Volume
8
Issue
P6
Year of publication
1998
Pages
263 - 270
Database
ISI
SICI code
1155-4339(1998)8:P6<263:LEFNA>2.0.ZU;2-Z
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 Schrodin ger problem for a particle in a disordered potential. As a consequence , we propose an alternative method to compute the Lyapunov spectrum. T he implications on the foundation of the recently proposed ''chronotop ic approach'' are also discussed.