| The synchronization on complex networks and time-delayed chaotic systems in this paper are mainly talked about. By means of circuits simulation and numerical calculation, the sufficient and correct results of the problems discussed are obtained.For the first part, the chaotic synchronization on globally coupled networks and star-shaped complex networks are researched in detail. The Lorenz system and a fifth-order autonomous circuit with hyperchaos are taked as the state variables of one node in the networks. The synchronization on the networks have been observed by numerical calculation, and the corresponding electric circuits for the networks synchronization have been designed, and the circuits we designed are verified to be viable by Pspice simulation. Through the researches on networks with few nodes, some rules are obtained and applied to networks with many nodes, it is found that the networks, whether with few nodes or many nodes , will be synchronized so long as the coupling strength is appropriate.For the last part, the synchronization on second-order continuous time-delayed chaotic systems with infinite dimensions is the subjcet. Two representative time-delayed chaotic systems are choosed, and their corresponding electric circuits are designed. Their chaotic characteristics are obsearved by Pspice simulation. The methods of variable feedback controlling synchronizationhe and impulsive synchronization are applied to the systems ,and the simulation results are in good agreement with numerical calculation. In addition, the influences of weak noise are taken into account, and the simulation results demonstrate that the systems have robustness.The results we have achieved on synchronizing complex networks and time-delayed chaotic systems via circuits simulation will undoubtedly provide important experimental guide for the further research of synchronizing complex networks and time-delayed chaotic systems. |
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