Impulsive Control Induced Effects on Dynamics of Complex Networks

  • Xiuping Han
  • Xilin Fu
Conference paper


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.


Periodic Orbit Complex Network Chaotic System Lorenz System Impulsive Control 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This work was supported by the National Natural Science Foundation of China (Grant No. 10871120), the China Tianyuan Youth Founding of Mathematics (Grant No. 10826029), the Science & Technology Development Funds of Shandong Education Committee (Grant No. J08LI10).


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.School of Mathematical SciencesShandong Normal UniversityJinanPeople’s Republic of China

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