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Spatial correlations and synchronization in coupled map lattices with long-range interactions

Vasconcelos, D.B.; Viana, R.L.; Lopes, S.R.; Batista, A.M. - In: Physica A: Statistical Mechanics and its Applications 343 (2004) C, pp. 201-218

We used numerical diagnostics to quantify spatial disorder, and its relation with temporal chaos, for a one-dimensional chain of coupled logistic maps with a coupling strength which varies with the lattice distance in a power-law fashion. The main tool is spatial return plots, whose properties...

Persistent link: https://www.econbiz.de/10010591048

Bursting synchronization in non-locally coupled maps

de Pontes, J.C.A.; Viana, R.L.; Lopes, S.R.; Batista, C.A.S. - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 16, pp. 4417-4428

due to coupling. We investigated bursting synchronization in a non-locally coupled lattice using a two-dimensional map to … distance in a power-law fashion. We observed bursting synchronization for wide intervals of the coupling parameters. We also … investigated the bursting synchronization of the ensemble with an external time-periodic signal applied to one or more selected …

Persistent link: https://www.econbiz.de/10010873211

Collective behavior in coupled chaotic map lattices with random perturbations

dos Santos, A.M.; Viana, R.L.; Lopes, S.R.; de S. … - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 7, pp. 1655-1668

Numerical simulations of coupled map lattices with non-local interactions (i.e., the coupling of a given map occurs with all lattice sites) often involve a large computer time if the lattice size is too large. In order to study dynamical effects which depend on the lattice size we considered...

Persistent link: https://www.econbiz.de/10011058367