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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 946243, 8 pages
Adaptive Cluster Synchronization for Nondelayed and Delayed Coupling Complex Networks with Nonidentical Nodes
College of Mathematics and Computational Sciences, Shenzhen University, Shenzhen, Guangdong 518060, China
Received 5 August 2012; Revised 21 November 2012; Accepted 18 December 2012
Academic Editor: Shukai Duan
Copyright © 2013 Ze Tang and Jianwen Feng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- S. H. Strogatz and I. Stewart, “Coupled oscillators and biological synchronization,” Scientific American, vol. 269, no. 6, pp. 102–109, 1993.
- C. M. Gray, “Synchronous oscillations in neural systems,” Journal of Computational Neuroscience, vol. 1, no. 1-2, pp. 11–38, 1994.
- J. Fell and N. Axmacher, “The role of phase synchronization in memory processes,” Nature Reviews Neuroscience, vol. 12, no. 2, pp. 105–118, 2011.
- W. He, F. Qian, J. Cao, and Q. L. Han, “Impulsive synchronization of two nonidentical chaotic systems with time-varying delay,” Physics Letters A, vol. 375, no. 3, pp. 498–504, 2011.
- L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Physical Review Letters, vol. 64, no. 8, pp. 821–824, 1990.
- H. Y. Li, B. Chen, Q. Zhou, and W. Y. Qian, “Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 39, no. 1, pp. 94–102, 2009.
- H. Y. Li, H. J. Gao, and P. Shi, “New passivity analysis for neural networks with discrete and distributed delays,” IEEE Transactions on Neural Networks, vol. 21, no. 11, pp. 1842–1847, 2010.
- A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences, vol. 12 of Cambridge Nonlinear Science Series, Cambridge University Press, Cambridge, UK, 2001.
- Y. Tang, H. Gao, W. Zou, and J. Kurths, “Identifying controlling nodes in neuronal networks in different scales,” PLoS ONE, vol. 7, Article ID e41375, 2012.
- J. Y. Wang, J. W. Feng, C. Xu, and Y. Zhao, “Cluster synchronization of nonlinearly-coupled complex networks with nonidentical nodes and asymmetrical coupling matrix,” Nonlinear Dynamics, vol. 67, no. 2, pp. 1635–1646, 2012.
- W. Wu, W. J. Zhou, and T. P. Chen, “Cluster synchronization of linearly coupled complex networks under pinning control,” IEEE Transactions on Circuits and Systems I, vol. 56, no. 4, pp. 829–839, 2009.
- K. H. Wang, X. C. Fu, and K. Z. Li, “Cluster synchronization in community networks with nonidentical nodes,” Chaos, vol. 19, no. 2, Article ID 023106, 10 pages, 2009.
- J. D. Cao and L. L. Li, “Cluster synchronization in an array of hybrid coupled neural networks with delay,” Neural Networks Letter, vol. 47, no. 11, pp. 2395–2405, 2011.
- W. B. Zhang, Y. Tang, J. A. Fang, and W. Zhu, “Exponential cluster synchronization of impulsive delayed genetic oscillators with external disturbances,” Chaos, vol. 21, no. 4, Article ID 043137, 2011.
- J. Q. Lu and J. D. Cao, “Adaptive synchronization of uncertain dynamical networks with delayed coupling,” Nonlinear Dynamics, vol. 53, no. 1-2, pp. 107–115, 2008.
- W. L. He and J. D. Cao, “Adaptive synchronization of a class of chaotic neural networks with known or unknown parameters,” Physics Letters A, vol. 372, no. 4, pp. 408–416, 2008.
- Y. H. Sun and J. D. Cao, “Adaptive lag synchronization of unknown chaotic delayed neural networks with noise perturbation,” Physics Letters A, vol. 364, no. 3-4, pp. 277–285, 2007.
- W. W Yu and J. D. Cao, “Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification,” Physica A, vol. 375, no. 2, pp. 467–482, 2007.
- J. Q. Lu and J. D. Cao, “Adaptive synchronization in tree-like dynamical networks,” Nonlinear Analysis: Real World Applications, vol. 8, no. 4, pp. 1252–1260, 2007.
- Y. Y. Wu, C. P. Li, A. L. Yang, L. J. Song, and Y. J. Wu, “Pinning adaptive anti-synchronization between two general complex dynamical networks with non-delayed and delayed coupling,” Applied Mathematics and Computation, vol. 218, no. 14, pp. 7445–7452, 2012.
- D. G. Xu and Z. F. Su, “Synchronization criterions and pinning control of general complex networks with time delay,” Applied Mathematics and Computation, vol. 215, no. 4, pp. 1593–1608, 2009.
- K. Lou, B. T. Cui, and X. J. Zhang, “Adaptive synchronization of two complex networks with delayed and non-delayed coupling,” Arabian Journal of Mathematics, vol. 1, no. 2, pp. 219–226, 2012.
- X. J. Wu and H. T. Lu, “Exponential synchronization of weighted general delay coupled and non-delay coupled dynamical networks,” Computers and Mathematics with Applications, vol. 60, no. 8, pp. 2476–2487, 2010.
- W. L. Lu and T. P. Chen, “New approach to synchronization analysis of linearly coupled ordinary differential systems,” Physica D, vol. 213, no. 2, pp. 214–230, 2006.
- Y. S. Moon, P. Park, W. H. Kwon, and Y. S. Lee, “Delay-dependent robust stabilization of uncertain state-delayed systems,” International Journal of Control, vol. 74, no. 14, pp. 1447–1455, 2001.