Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems

M. S. Baptista; T. Pereira; J. C. Sartorelli; I. L. Caldas; J. Kurths

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arXiv · cond-mat/0507715

Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems

M. S. Baptista·T. Pereira·J. C. Sartorelli·I. L. Caldas·J. Kurths

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Abstract

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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BibTeX RIS

M. S. Baptista, T. Pereira, J. C. Sartorelli, I. L. Caldas, J. Kurths. 2005-07-29. Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems. https://arxiv.org/abs/cond-mat/0507715

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