n-tree approximation for the largest Lyapunov exponent of a coupled-map lattice

Year: 1997

Authors: Cecconi F., Politi A.

Autors Affiliation: Dipartimento di Fisica, Università di Firenze, 50125 Firenze, Italy;
Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, 50125 Firenze, Italy;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy

Abstract: The n-tree approximation scheme, introduced in the context of random directed polymers, is applied here to the computation of the maximum Lyapunov exponent in a coupled-map lattice. We discuss both an exact implementation for small tree depth n and a numerical implementation for larger n. We find that the phase transition predicted by the mean-field approach shifts towards larger values of the coupling parameter when the depth n is increased. We conjecture that the transition eventually disappears.

Journal/Review: PHYSICAL REVIEW E

Volume: 56 (5)      Pages from: 4998  to: 5003

KeyWords: DIRECTED POLYMERS; 1/D EXPANSION; CHAOS; SYSTEMS;
DOI: 10.1103/PhysRevE.56.4998

Citations: 6
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-04-28
References taken from IsiWeb of Knowledge: (subscribers only)
Connecting to view paper tab on IsiWeb: Click here
Connecting to view citations from IsiWeb: Click here