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

F Cecconi, A Politi

Research output: Contribution to journalArticle

5 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)4998-5003
Number of pages6
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume56
Issue number5
Publication statusPublished - Nov 1997

Keywords

  • DIRECTED POLYMERS
  • 1/D EXPANSION
  • CHAOS
  • SYSTEMS

Cite this

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title = "n-tree approximation for the largest Lyapunov exponent of a coupled-map lattice",
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.",
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T1 - n-tree approximation for the largest Lyapunov exponent of a coupled-map lattice

AU - Cecconi, F

AU - Politi, A

PY - 1997/11

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N2 - 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.

AB - 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.

KW - DIRECTED POLYMERS

KW - 1/D EXPANSION

KW - CHAOS

KW - SYSTEMS

M3 - Article

VL - 56

SP - 4998

EP - 5003

JO - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 5

ER -