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

Maurizio Porfiri; Francesca Fiorilli

doi:10.1016/j.chaos.2007.11.033

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

Maurizio Porfiri, Francesca Fiorilli

Mechanical and Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	245-262
Number of pages	18
Journal	Chaos, Solitons and Fractals
Volume	41
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2007.11.033
State	Published - Jul 15 2009

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2007.11.033

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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.",

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AB - 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.

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

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