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In this paper,we propose a method for the projective synchronization between two different chaotic systems with variable time delays.Using active control approach,the suitable controller is constructed to make the states of two different diverse time delayed systems asymptotically synchronize up to the desired scaling factor.Based on the Lyapunov stability theory,the sufficient condition for the projective synchronization is calculated theoretically.Numerical simulations of the projective synchronization between Mackey-Glass system and Ikeda system with variable time delays are shown to validate the effectiveness of the proposed algorithm.  相似文献   
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For the first time, we report on projective synchronization between two time delay chaotic systems with single time delays. It overcomes some limitations of the previous work, where projective synchronization has been investigated only in finite-dimensional chaotic systems, so we can achieve projective synchronization in infinitedimensional chaotic systems. We give a general method with which we can achieve projective synchronization in time-delayed chaotic systems. The method is illustrated using the famous delay-differential equations related to optical bistability. Numerical simulations fully support the analytical approach.  相似文献   
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冯存芳  关剑月  吴枝喜  汪映海 《中国物理 B》2010,19(6):60203-060203
We have investigated the influence of the average degree k of network on the location of an order-disorder transition in opinion dynamics.For this purpose,a variant of majority rule (VMR) model is applied to Watts-Strogatz (WS) small-world networks and Barabá si-Albert (BA) scale-free networks which may describe some non-trivial properties of social systems.Using Monte Carlo simulations,we find that the order-disorder transition point of the VMR model is greatly affected by the average degree k of the networks;a larger value of k results in a more ordered state of the system.Comparing WS networks with BA networks,we find WS networks have better orderliness than BA networks when the average degree k is small.With the increase of k,BA networks have a more ordered state.By implementing finite-size scaling analysis,we also obtain critical exponents β/ν,γ/ν and 1/ν for several values of average degree k.Our results may be helpful to understand structural effects on order-disorder phase transition in the context of the majority rule model.  相似文献   
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The collective synchronization of a system of coupled logistic maps on random community networks is investigated. It is found that the synchronizability of the community network is affected by two factors when the size of the network and the number of connections are fixed. One is the number of communities denoted by the parameter rn, and the other is the ratio σ of the connection probability p of each pair of nodes within each community to the connection probability q of each pair of nodes among different communities. Theoretical analysis and numerical results indicate that larger rn and smaller σ are the key to the enhancement of network synchronizability. We also testify synchronous properties of the system by analysing the largest Lyapunov exponents of the system.  相似文献   
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We investigate different types of synchronization between two unidirectionally nonlinearly coupled identical delay- differential systems related to optical bistable or hybrid optical bistable devices. This system can represent some kinds of delay-differential models, i.e. Ikeda model, Vall~e model, sine-square model, Mackey Glass model, and so on. We find existence and sufficient stability conditions by theoretical analysis and test the correctness by" numerical simulations. Lag, complete and anticipating synchronization are observed, respectively. It is found that the time-delay system can be divided into two parts~ one is the instant term and the other is the delay term. Synchronization between two identical chaotic systems can be derived by adding a coupled term to the delay term in the driven system.  相似文献   
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