Experimental manifestations of phase and lag synchronizations in coupled chaotic systems

Y C Lai, V Andrade, R Davidchack, S Taherion, Ying-Cheng Lai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Chaotic phase and lag synchronizations are subtle dynamical phenomena in which the phases of two mutually coupled, nonidentical chaotic oscillators become correlated. We investigate to what extent phase and lag synchronizations can be observed in laboratory experiments. Specifically, for phase synchronization, we study the effect of noise. It is found that additive white noise can induce phase slips in integer multiples of 2 pi 's in parameter regimes where phase synchronization is observed in the absence of noise. The average time duration of the temporal phase synchronization scales with the noise amplitude in a way that can be described as super-persistent transient. We give two independent heuristic derivations that yield the same numerically observed scaling law. For lag synchronization, we perform laboratory experiments using chaotic electronic circuits. Our measurements indicate that due to the influence of noise, lag synchronization occurs only intermittently in time. Numerical confirmation and a heuristic explanation to the observed intermittent behavior are given.

Original languageEnglish
Title of host publicationPROCEEDINGS OF THE 5TH EXPERIMENTAL CHAOS CONFERENCE
EditorsM Ding, W Ditto, LM Pecora, ML Spano
Place of PublicationSINGAPORE
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Pages233-246
Number of pages4
ISBN (Print)981-02-4561-0
Publication statusPublished - 2001
Event5th Experimental Chaos Conference - ORLANDO
Duration: 28 Jun 19991 Jul 1999

Conference

Conference5th Experimental Chaos Conference
CityORLANDO
Period28/06/991/07/99

Keywords

  • DYNAMICAL-SYSTEMS
  • OSCILLATOR-SYSTEMS
  • TRANSITION
  • BIFURCATION

Cite this

Lai, Y. C., Andrade, V., Davidchack, R., Taherion, S., & Lai, Y-C. (2001). Experimental manifestations of phase and lag synchronizations in coupled chaotic systems. In M. Ding, W. Ditto, LM. Pecora, & ML. Spano (Eds.), PROCEEDINGS OF THE 5TH EXPERIMENTAL CHAOS CONFERENCE (pp. 233-246). WORLD SCIENTIFIC PUBL CO PTE LTD.