Phase synchronization of chaotic systems with small phase diffusion - art.no. 056234

The geometric theory of phase locking between periodic oscillators is exten ded to phase coherent chaotic systems. This approach explains the qualitati ve features of phase locked chaotic systems and provides an analytical tool for a quantitative description of the phase locked states. Moreover. this geometric viewpoint allows us to identify obstructions to phase locking eve n in systems with negligible phase diffusion, and to provide sufficient con ditions for phase locking to occur. We apply these techniques to the Rossle r system and a phase coherent electronic circuit and find that numerical re sults and experiments agree well with theoretical predictions.