Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems

Details Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems

2005-07-29

arxiv.org/abs/cond-mat/0507715v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are equal to invariants of the perturbation, the angular frequency, but also it exists a very large number of non-transient transformations, possibly infinity. In cases where there is not phase synchronization there is either only transitive transformations on the attractor, or a finite number of non-transitive transformations. We base our statements in experimental and numerical results from the sinusoidally perturbed Chua's circuit.

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