Lyapunov spectrum and synchronization of piecewise linear map lattices with power-law coupling.
We study the synchronization properties of a lattice of chaotic piecewise linear maps. The coupling strength decreases with the lattice distance in a power-law fashion. We obtain the Lyapunov spectrum of the coupled map lattice and investigate the relation between spatiotemporal chaos and synchronization of amplitudes and phases, using suitable numerical diagnostics.
Batista
Antônio M
AM
Departamento de Física, Universidade Federal do Paraná, 81531-990 Curitiba, Paraná, Brazil.
Pinto
Sandro E de S
SE
Viana
Ricardo L
RL
Lopes
Sergio R
SR