Synchronization plateaus in a lattice of coupled sine-circle maps.
Frequency synchronization is a common phenomenon in spatially extended dynamical systems, like oscillator chains and coupled map lattices. We study the distribution of synchronization plateaus in a sine-circle map lattice with a variable range coupling and randomly distributed natural frequencies. A transition between synchronized and nonsynchronized phases is observed as the coupling range is varied. The lengths of the synchronization plateaus are found to obey an exponential distribution for local coupling.
Pinto
S E
SE
Departamento de Física, Universidade Federal do Paraná, Curitiba, Brazil.
Viana
R L
RL
D007700:Kinetics; D008954:Models, Biological; D008962:Models, Theoretical; D009991:Oscillometry; D013997:Time Factors