From low-dimensional synchronous chaos to high-dimensional desynchronous spatiotemporal chaos in coupled systems
The dynamic behavior of coupled chaotic oscillators is investigated. For small coupling, chaotic state undergoes a transition from a spatially disordered phase to an ordered phase with an orientation symmetry breaking. For large coupling, a transition from full synchronization to partial synchronization with translation symmetry breaking is observed. Two bifurcation branches, one in-phase branch starting from synchronous chaos and the other antiphase branch bifurcated from spatially random chaos, are identified by varying coupling strength epsilon. Hysteresis, bistability, and first-order transitions between these two branches are observed.
Hu
G
Chinese Center for Advanced Science and Technology (World Laboratory), Beijing 8730, China and Department of Physics, Beijing Normal University, Beijing 100875, China.
Zhang
Y
Cerdeira
HA
Chen
S