Scaling and universality in transition to synchronous chaos with local-global interactions.
We study the coupled-map lattice model with both local and global couplings. We find necessary conditions for observing synchronous chaos and investigate the transition to synchronization as a dynamic phase transition. We discover that this transition, if continuous, shows scaling and universal behavior with the dynamic exponent z = 2. We also define and illustrate an interesting quantity similar to persistence at critical point.
Gade
Prashant M
PM
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan.
Hu
Chin-Kun
CK