Global pulse synchronization of chaotic oscillators through fast-switching: theory and experiments

Maurizio Porfiri, Francesca Fiorilli

Research output: Contribution to journalArticle

Abstract

We study pulse synchronization of chaotic systems in master-slave configuration. The slave system is unidirectionally coupled to the master system through an intermittent linear error feedback coupling, whose gain matrix periodically switches among a finite set of constant matrices. Using Lyapunov-stability theory, fast-switching techniques, and the concept of matrix measure, we derive sufficient conditions for global synchronization. The derived conditions are specialized to the case of Chua's circuits. An inductorless realization of coupled Chua's circuits is developed to illustrate the effectiveness of the proposed approach.

Original languageEnglish (US)
Pages (from-to)245-262
Number of pages18
JournalChaos, Solitons and Fractals
Volume41
Issue number1
DOIs
StatePublished - Jul 15 2009

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Chaotic Oscillator
Chua's Circuit
Synchronization
Matrix Measure
Global Synchronization
Lyapunov Stability Theory
Chaotic System
Experiment
Finite Set
Switch
Configuration
Sufficient Conditions
Concepts

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Global pulse synchronization of chaotic oscillators through fast-switching : theory and experiments. / Porfiri, Maurizio; Fiorilli, Francesca.

In: Chaos, Solitons and Fractals, Vol. 41, No. 1, 15.07.2009, p. 245-262.

Research output: Contribution to journalArticle

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