Some aspects of the synchronization in coupled maps.
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.
de Souza Pinto
Sandro E
SE
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
Lunardi
José T
JT
Saleh
Abdala M
AM
Batista
Antonio M
AM
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*