Impulsive Control Induced Effects on Dynamics of Complex Networks

Control and synchronization of complex networks have been extensively investigated in many research and application fields. Previous works focused upon realizing synchronization by varied methods. There has been little research on the dynamics of synchronization manifold of complex networks by now. It was known that dynamics of the single system can be changed very obviously after inputting particular impulse signals. For the first time, above impulsive control of complex networks is considered in this chapter. Complex networks can realize to synchronize with such impulsive control. And dynamics of the synchronous state of complex networks can be induced to different orbit. The orbit may be an equilibrium point, a periodic orbit,or a chaotic orbit, which is determined by a parameter in the outer impulse signal. Strict theories are given.

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