Collective dynamics in coupled maps on a lattice with quenched disorder

Achille Giacometti, Maurice Rossi, and Libero Battiston
Phys. Rev. E 73, 036214 – Published 21 March 2006

Abstract

It is investigated how a spatial quenched disorder modifies the dynamics of coupled map lattices. The disorder is introduced via the presence or absence of coupling terms among lattice sites. Two nonlinear maps have been considered embodying two paradigmatic dynamics. The Miller and Huse map can be associated with an Ising-type dynamics, whereas the logistic coupled maps is a prototype of a nontrivial collective dynamics. Various indicators quantifying the overall behavior, demonstrates that even a small amount of spatial disorder is capable to alter the dynamics found for purely ordered cases.

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  • Received 14 November 2005

DOI:https://doi.org/10.1103/PhysRevE.73.036214

©2006 American Physical Society

Authors & Affiliations

Achille Giacometti1, Maurice Rossi2, and Libero Battiston3

  • 1INFM Unitá di Venezia, Dipartimento di Chimica Fisica, Universitá di Venezia, Calle Larga Santa Marta DD 2137, I-30123 Venezia, Italy
  • 2Laboratoire de Modélisation en Mécanique, CNRS Université Pierre et Marie Curie 4, Place Jussieu, 75005 Paris
  • 3ISAC CNR, Bologna, Unitá Staccata di Padova Corso Stati uniti 4, 35100 Padova, Italy

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Issue

Vol. 73, Iss. 3 — March 2006

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