title: Some aspects of the synchronization in coupled maps.
abstract: We numerically study the synchronization behavior of a coupled map lattice consisting of a chain of chaotic logistic maps exhibiting power law interactions. We report two main results. First, we find a practical lower bound in the lattice size in order that this system could be considered in the thermodynamic limit in numerical simulations. Second, we observe the existence of a strong correlation between the Lyapunov dimension and the averaged synchronization time.
authors.affiliation: Grupo de Física Teórica, Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, Avenida Gal. Carlos Cavalcanti 4748. CEP 84032-900, Ponta Grossa, Paraná, Brazil. sandroesp@uepg.br
authors.forename: Sandro E
authors.initials: SE
authors.lastname: de Souza Pinto
authors.forename: José T
authors.initials: JT
authors.lastname: Lunardi
authors.forename: Abdala M
authors.initials: AM
authors.lastname: Saleh
authors.forename: Antonio M
authors.initials: AM
authors.lastname: Batista
mesh_terms: D000222:Adaptation, Physiological / Q000502:physiology*; D000465:Algorithms; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology*; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D009991:Oscillometry / Q000379:methods*