Chaos An Interdisciplinary Journal of Nonlinear Science · 2005 · 86 citations · 17 references
Natural SciencesMathematicsComplex SystemsDifferential EquationsDynamical SystemsChaos TheoryControl Of Dynamical SystemsControl TheoryNonlinear DynamicsStability TheoryChaos SynchronizationChaotic DynamicsChaotic OscillatorsImpulsive ControlImpulsive SystemsSynchronization Of Chaotic Systems
The issue of impulsive synchronization of a class of chaotic systems is investigated. Based on the impulsive theory and linear matrix inequality technique, some less conservative and easily verified criteria for impulsive synchronization of chaotic systems are derived. The proposed method is applied to the original Chua oscillators, and the corresponding synchronization conditions are obtained. Moreover, the boundary of the stable region is also estimated in terms of the equidistant impulse interval. The effectiveness of our method is shown by computer simulation.
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Synchronization in chaotic systems
Louis M. Pecora, Thomas L. Carroll · Physical Review Letters · 1990 · 10.6K citations
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Natural Sciences, Computer Science, Electrical Engineering +14
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Louis M. Pecora, Thomas L. Carroll · Physical Review A · 1991 · 1K citations