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Lyapunov spectrum and synchronization of piecewise linear map lattices with power-law coupling
Antônio M Batista1, Sandro E de S Pinto, Ricardo L Viana
1Departamento de Física, Universidade Federal do Paraná, 81531-990 Curitiba, Paraná, Brazil.
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.