Abstract
The current study of complex dynamical networks is pervading almost all kinds of science, engineering and technology, ranging from mathematics to computers, physics to biology, even to sociology. Its impacts on the modern high-tech industries, financial markets and human life are prominent and will be far-reaching. Research on fundamental properties and dynamical features of such complex networks has indeed become overwhelming.
This Chapter presents a brief overview of some past and current studies on the subject of complex dynamical network synchronization, particularly from an engineering and technological perspective. Some commonly concerned issues in the current research of network synchronization, mainly on pinning-controlled network synchronization and time-varying network synchronization, will be addressed. Emphasis will be on some basic theories, methodologies, conditions and criteria for the network synchronizability as well as some possible relationships between the network topology and the network synchronizability.
This work was supported by the NSFC-HKRGC Joint Research Scheme under Grant N-CityU 107/07, the Hong Kong Research Grants Council under the GRF Grant CityU 1117/08E, the National Natural Science Foundation of China under Grants 60821091 and 60772158, the National Basic Research (973) Program of China under Grant 2007CB310805, the Important Direction Project of Knowledge Innovation Program of Chinese Academy of Sciences under Grant KJCX3-SYW-S01, and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, China.
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Chen, G., Wang, X., Li, X., Lü, J. (2009). Some Recent Advances in Complex Networks Synchronization. In: Kyamakya, K., Halang, W.A., Unger, H., Chedjou, J.C., Rulkov, N.F., Li, Z. (eds) Recent Advances in Nonlinear Dynamics and Synchronization. Studies in Computational Intelligence, vol 254. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04227-0_1
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DOI: https://doi.org/10.1007/978-3-642-04227-0_1
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