LOCALLY-INTERMINGLED BASINS OF ATTRACTION IN COUPLED CHUA’S CIRCUITS

We show that two coupled chaotic systems initially operating on two different simultaneously co-existing attractors can be synchronized. Synchronization is achieved as one of the systems switches its evolution to the attractor of the other one. The final attractor of the synchronized state strongly depends on the precise position of trajectories on their attractors at the moment when coupling is introduced. Our system is the first reported example of locally-intermingled basins of attraction which occur in physical systems.