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https://www.ias.ac.in/article/fulltext/pram/073/06/0999-1009

Lattice; synchronization; maps; suppression.

We considered coupled map lattices with long-range interactions to study the spatiotemporal behaviour of spatially extended dynamical systems. Coupled map lattices have been intensively investigated as models to understand many spatiotemporal phenomena observed in extended system, and consequently spatiotemporal chaos. We used the complex order parameter to quantify chaos synchronization for a one-dimensional chain of coupled logistic maps with a coupling strength which varies with the lattice in a power-law fashion. Depending on the range of the interactions, complete chaos synchronization and chaos suppression may be attained. Furthermore, we also calculated the Lyapunov dimension and the transversal distance to the synchronization manifold.

R M Szmoski¹ S E De S Pinto¹ M T Van Kan² A M Batista² R L Viana³ S R Lopes³

1. Departamento de Física; Universidade Estadual de Ponta Grossa, 84030-900, Ponta Grossa, PR, Brazil
2. Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, 84030-900, Ponta Grossa, PR, Brazil
3. Departamento de Física, Universidade Federal do Paraná, 81531-990, Curitiba, PR, Brazil

Published

December 2009

Manuscript received

23 February 2009

Manuscript revised

12 June 2009

Accepted

22 June 2009