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This paper investigates robust unified (lag, anticipated, and complete)
synchronization of two coupled chaotic systems. By introducing the concepts
of positive definite symmetrical matrix and Riccati inequality and the
theory of robust stability, several criteria on robust synchronization are
established. Extensive numerical simulations are also used to confirm the
results. 相似文献
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Hölder continuity of two types of bidirectionally coupled generalised synchronisation manifold
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This paper studies the existence of Höolder continuity of bidirectionally coupled generalised synchronisation (GS). Based on the slaving principle of synergetics and the modified system approach, it classifies the GS into several types. The existences of two main types of H"older continuous bidirectionally coupled GS inertial manifolds are theoretically analysed and proved by using the Schauder fixed point theorem. Numerical simulations illustrate the theoretical results. 相似文献
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A complex network consisting of chaotic systems is considered and the existence of the Hölder continuous generalized synchronization in the network is studied. First, we divide nodes of the network into two parts according to their dynamical behaviour. Then, based on the Schauder fixed point theorem, sufficient conditions for the existence of the generalized synchronization between them are derived. Moreover, the results are theoretically proved. Numerical simulations validate the theory. 相似文献
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The existence of generalized synchronisation of three bidirectionally coupled chaotic systems
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The existence of two types of generalized synchronisation
is studied. The model considered here includes three bidirectionally
coupled chaotic systems, and two of them denote the driving systems,
while the rest stands for the response system. Under certain
conditions, the existence of generalised synchronisation can be
turned to a problem of compression fixed point in the family of
Lipschitz functions. In addition, theoretical proofs are proposed to
the exponential attractive property of generalised synchronisation
manifold. Numerical simulations validate the theory. 相似文献