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This paper introduces a new chaotic system. Some basic dynamical properties are studied, such as the equilibria, the Lyapunov exponents and the fractal dimension. Based on these properties, effective feedback controllers are proposed for stabilizing chaos to unstable equilibria. In addition, based on Lyapunov stability theory, sufficient condition for the synchronization has been analyzed theoretically...
In this brief paper, projective synchronization (Projective Syn.) in coupled integer-order and fractional-order chaotic systems are both studied. For the case of driving coupled integer-order chaotic systems, theoretical analysis is carried out directly based on the Lyapunov stability theory. For the case of coupled fractional order chaotic system, we took a modified approximate method to obtain an...
This paper deals with the hybrid synchronization problem of two coupled complex networks. By using the linear feedback controller, several useful hybrid synchronization criteria of two coupled networks are obtained based on the Lyapunov stability theory and Lasalle's invariant principle. Analytical results also show that two coupled complex networks can realize hybrid synchronization under suitable...
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