Global pulse synchronization of chaotic oscillators through fast-switching: theory and experiments. (English) Zbl 1198.93183
Summary: 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.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.
MSC:
| 93D15 | Stabilization of systems by feedback |
| 34C28 | Complex behavior and chaotic systems of ordinary differential equations |
| 34D23 | Global stability of solutions to ordinary differential equations |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 37N35 | Dynamical systems in control |
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