Global stochastic synchronization of chaotic oscillators

Maurizio Porfiri, Francesca Fiorilli

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

Abstract

We study synchronization of two chaotic oscillators in a master-slave configuration. The two dynamic systems are coupled via a directed feedback that randomly switches among a finite set of given constant functions at a prescribed time rate. We use stochastic Lyapunov stability theory and partial averaging techniques to show that global synchronization is possible if the switching period is sufficiently small and if the two systems globally exponentially synchronize under an average feedback coupling. The approach is applied to the synchronization of two Chua's circuits.

Original languageEnglish (US)
Title of host publication2008 American Control Conference, ACC
Pages511-516
Number of pages6
DOIs
StatePublished - 2008
Event2008 American Control Conference, ACC - Seattle, WA, United States
Duration: Jun 11 2008Jun 13 2008

Other

Other2008 American Control Conference, ACC
CountryUnited States
CitySeattle, WA
Period6/11/086/13/08

Fingerprint

Synchronization
Feedback
Dynamical systems
Switches
Networks (circuits)

Keywords

  • Chaos
  • Chua's circuit
  • Exponential synchronization
  • Global synchronization
  • Master-slave synchronization
  • Stochastic synchronization

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Porfiri, M., & Fiorilli, F. (2008). Global stochastic synchronization of chaotic oscillators. In 2008 American Control Conference, ACC (pp. 511-516). [4586542] https://doi.org/10.1109/ACC.2008.4586542

Global stochastic synchronization of chaotic oscillators. / Porfiri, Maurizio; Fiorilli, Francesca.

2008 American Control Conference, ACC. 2008. p. 511-516 4586542.

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

Porfiri, M & Fiorilli, F 2008, Global stochastic synchronization of chaotic oscillators. in 2008 American Control Conference, ACC., 4586542, pp. 511-516, 2008 American Control Conference, ACC, Seattle, WA, United States, 6/11/08. https://doi.org/10.1109/ACC.2008.4586542
Porfiri M, Fiorilli F. Global stochastic synchronization of chaotic oscillators. In 2008 American Control Conference, ACC. 2008. p. 511-516. 4586542 https://doi.org/10.1109/ACC.2008.4586542
Porfiri, Maurizio ; Fiorilli, Francesca. / Global stochastic synchronization of chaotic oscillators. 2008 American Control Conference, ACC. 2008. pp. 511-516
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