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This paper is mainly concerned with the issues of two kinds of synchronization for a class of hyperchaotic systems, i.e., complete synchronization, and coexistence of synchronization and anti-synchronization. Two adaptive control laws with suitable state feedbacks are designed to realize the complete synchronization, and coexistence of synchronization and anti-synchronization for such hyperchaotic...
This paper investigates the control problems of Chen–Lee system. Based on control theory of nonlinear systems, the adaptive controllers were proposed to achieve stabilization, synchronization, coexistence of synchronization and anti-synchronization, and projective synchronization of such system. It should be pointed out that the obtained controllers are not only simpler than the existing ones, but...
This paper investigates the coexistence of anti-synchronization and synchronization in the unified chaotic systems. First, an algorithm is proposed to select what variables in the master system which can anti-synchronize the corresponding variables in the slave system. Then, several control strategy is presented to guarantee coexistence of synchronization and anti-synchronization in the unified chaotic...
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