1991•Physical Review LettersRequires access
Pseudoperiodic driving: Eliminating multiple domains of attraction using chaos
Louis M. Pecora, Thomas L. Carroll
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Abstract
The basins of attraction of period-2 attractors can be subdivided into two domains, one for each of the stable trajectories which are one drive cycle apart. This generalizes to period-n attractors. Periodic drive signals can be replaced by certain chaotic signals which results in the elimination of multiple domains of attraction. The attractors are similar to the original ones, but two systems on the same attractor cannot get out of phase with each other.