Master-slave global stochastic synchronization of chaotic oscillators

Maurizio Porfiri, Roberta Pigliacampo

Research output: Contribution to journalArticle

Abstract

We study global synchronization of coupled chaotic systems with random intermittent coupling.e 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 oscillators globally synchronize under a time-averaged coupling. We study mean square and almost sure global synchronization, and we determine quantitative bounds for the exponential rate of decay of the synchronization error. We focus on master-slave synchronization, where two dynamical systems are coupled via a directed feedback that randomly switches among a finite set of given constant functions at a prescribed time rate. We apply the proposed approach to the synchronization of Chua circuits.

Original languageEnglish (US)
Pages (from-to)825-842
Number of pages18
JournalSIAM Journal on Applied Dynamical Systems
Volume7
Issue number3
DOIs
StatePublished - 2008

Fingerprint

Global Synchronization
Chaotic Oscillator
Synchronization
Averaging Technique
Chua's Circuit
Stochastic Stability
Constant function
Lyapunov Stability Theory
Mean Square
Chaotic System
Coupled System
Finite Set
Switch
Dynamical system
Decay
Partial
Chaotic systems
Dynamical systems
Switches
Feedback

Keywords

  • Chaos
  • Chua circuit
  • Exponential stability
  • Global synchronization
  • Master-slave synchronization
  • Stochastic synchronization

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

Cite this

Master-slave global stochastic synchronization of chaotic oscillators. / Porfiri, Maurizio; Pigliacampo, Roberta.

In: SIAM Journal on Applied Dynamical Systems, Vol. 7, No. 3, 2008, p. 825-842.

Research output: Contribution to journalArticle

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