Multi-stable chaotic attractors in generalized synchronization. (English) Zbl 1221.37062
This work considers the existence of multi-stable chaotic attractors in the general synchronization of two unidirectional coupled chaotic systems. It is founded that if the response system is a three or four scrolls chaotic attractor, applying the third state variable of the Rösler system to drive the response system, there will exist three or four stable chaotic attractors in this response system. In addition, which attractor the response system arriving depends on the coupled parameters and initial conditions.
Reviewer: Mircea Crâşmăreanu (Iaşi)
MSC:
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 34D06 | Synchronization of solutions to ordinary differential equations |
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