Desynchronization Transitions in Rings of Coupled Chaotic Oscillators

I. P. Mariño, V. Pérez-Muñuzuri, M. A. Matías
1998 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
Rings of chaotic oscillators coupled unidirectionally through driving are studied. While synchronization is observed for small sizes of the ring, beyond a certain critical size a desynchronizing transition occurs. In the two examples studied here the system exhibits a transition to periodic rotating waves for rings of Lorenz systems, while one finds a sort of chaotic rotating waves when Chua's circuit is used.
doi:10.1142/s021812749800142x fatcat:n7xc2jatrbbwvcwny766gz5rw4