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Adaptive Exponential Synchronization of Coupled Complex Networks on General Graphs

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Listed:
  • Song Liu
  • Xianfeng Zhou
  • Wei Jiang
  • Yizheng Fan

Abstract

We investigate the synchronization in complex dynamical networks, where the coupling configuration corresponds to a weighted graph. An adaptive synchronization method on general coupling configuration graphs is given. The networks may synchronize at an arbitrarily given exponential rate by enhancing the updated law of the variable coupling strength and achieve synchronization more quickly by adding edges to original graphs. Finally, numerical simulations are provided to illustrate the effectiveness of our theoretical results.

Suggested Citation

  • Song Liu & Xianfeng Zhou & Wei Jiang & Yizheng Fan, 2013. "Adaptive Exponential Synchronization of Coupled Complex Networks on General Graphs," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
  • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:854793
    DOI: 10.1155/2013/854793
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    References listed on IDEAS

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    1. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 2000. "Scale-free characteristics of random networks: the topology of the world-wide web," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 69-77.
    2. M. E. J. Newman & D. J. Watts, 1999. "Scaling and Percolation in the Small-World Network Model," Working Papers 99-05-034, Santa Fe Institute.
    3. Li, Chunguang & Chen, Guanrong, 2004. "Synchronization in general complex dynamical networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 263-278.
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