Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems
Statistical Mechanics
2007-05-23 v1 Other Condensed Matter
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.
Cite
@article{arxiv.cond-mat/0507715,
title = {Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems},
author = {M. S. Baptista and T. Pereira and J. C. Sartorelli and I. L. Caldas and J. Kurths},
journal= {arXiv preprint arXiv:cond-mat/0507715},
year = {2007}
}