Controlling chaos in maps with multiple strange attractors. (English) Zbl 1057.37032
Summary: We study chaotic maps with multiple coexisting strange attractors and show how such systems can be controlled. To this end, a control scheme is proposed which is capable of stabilizing a desired motion within one strange attractor as well as taking the system dynamics from one strange attractor to another. To demonstrate the given control scheme, several examples are considered.
MSC:
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 93D15 | Stabilization of systems by feedback |
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