title: Lyapunov spectrum and synchronization of piecewise linear map lattices with power-law coupling.
abstract: 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.
authors.affiliation: Departamento de Física, Universidade Federal do Paraná, 81531-990 Curitiba, Paraná, Brazil.
authors.forename: Antônio M
authors.initials: AM
authors.lastname: Batista
authors.forename: Sandro E de S
authors.initials: SE
authors.lastname: Pinto
authors.forename: Ricardo L
authors.initials: RL
authors.lastname: Viana
authors.forename: Sergio R
authors.initials: SR
authors.lastname: Lopes