Phase Synchronization and invariant measures in sinusoidally perturbed chaotic systems

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dc.creatorBaptista, M. S.
dc.creatorPereira, T.
dc.creatorSartorelli, J. C.
dc.creatorCaldas, I. L.
dc.creatorKurths, J.
dc.date2005-07-29
dc.date.accessioned2026-07-25T15:53:49Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/cond-mat/0507715
dc.identifierhttp://arxiv.org/abs/cond-mat/0507715
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/37913
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.titlePhase Synchronization and invariant measures in sinusoidally perturbed chaotic systems
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