Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2005-04-06
Nonlinear Sciences
Chaotic Dynamics
4 pages, 6 figures
Scientific paper
10.1103/PhysRevE.72.037206
Through numerical simulations we analyze the synchronization time and the Lyapunov dimension of a coupled map lattice consisting of a chain of chaotic logistic maps exhibiting power law interactions. From the observed behaviors we find a lower bound for the size $N$ of the lattice, independent of the range and strength of the interaction, which imposes a practical lower bound in numerical simulations for the system to be considered in the thermodynamic limit. We also observe the existence of a strong correlation between the averaged synchronization time and the Lyapunov dimension. This is an interesting result because it allows an analytical estimation of the synchronization time, which otherwise requires numerical simulations.
Batista Antonio M.
Lunardi José T.
Saleh Abdala M.
Souza Pinto Sandro E. de
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