Transitions to Long-Resident States in Coupled Chaotic Oscillators

Ao Bin, Zheng Zhi-Gang
2006 Chinese Physics Letters  
The behaviors of coupled chaotic oscillators before complete synchronization were investigated. We report three phenomena: (1) The emergence of long-time residence of trajectories besides one of the saddle foci; (2) The tendency that orbits of the two oscillators get close becomes faster with increasing the coupling strength; (3) The diffusion of two oscillator's phase difference is first enhanced and then suppressed. There are exact correspondences among these phenomena. The mechanism of these
more » ... correspondences is explored. These phenomena uncover the route to synchronization of coupled chaotic oscillators.
doi:10.1088/0256-307x/23/1/011 fatcat:nte52ay6vnghfoxr5im6qxqm5a