TY - CHAP
T1 - Synchronization and control of hyper-networks and colored networks
AU - FU, Xinchu
AU - WU, Zhaoyan
AU - CHEN, Guanrong
PY - 2016
Y1 - 2016
N2 - In this chapter, hyper-networks and colored networks corresponding to hyper-graphs and colored graphs in mathematics are presented, which can be used to model real large-scale systems, such as neuronal networks, metabolic networks, social relationship networks, scientific collaboration networks, and so on. Firstly, similarly to the BA scale-free network, both growth and preferential attachment mechanisms are adopted to generate some evolving hyper-network models, including uniform and nonuniform hyper-networks. Secondly, a uniform dynamical hyper-network model is built and its synchronization is investigated using joint-degree matrix. Thirdly, a colored network with same-dimensional node dynamics is presented. The synchronization and control of both edge-colored and colored networks are studied. Finally, a general colored network with different-dimensional node dynamics is presented and its generalized matrix projective synchronization is achieved by applying open-plus-closed-loop control.
AB - In this chapter, hyper-networks and colored networks corresponding to hyper-graphs and colored graphs in mathematics are presented, which can be used to model real large-scale systems, such as neuronal networks, metabolic networks, social relationship networks, scientific collaboration networks, and so on. Firstly, similarly to the BA scale-free network, both growth and preferential attachment mechanisms are adopted to generate some evolving hyper-network models, including uniform and nonuniform hyper-networks. Secondly, a uniform dynamical hyper-network model is built and its synchronization is investigated using joint-degree matrix. Thirdly, a colored network with same-dimensional node dynamics is presented. The synchronization and control of both edge-colored and colored networks are studied. Finally, a general colored network with different-dimensional node dynamics is presented and its generalized matrix projective synchronization is achieved by applying open-plus-closed-loop control.
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U2 - 10.1007/978-3-662-47824-0_5
DO - 10.1007/978-3-662-47824-0_5
M3 - RGC 12 - Chapter in an edited book (Author)
SN - 978-3-662-47823-3
T3 - Understanding Complex Systems
SP - 107
EP - 129
BT - Complex Systems and Networks
A2 - Lü, Jinhu
A2 - Yu, Xinghuo
A2 - Chen, Guanrong
A2 - Yu, Wenwu
PB - Springer
CY - Germany
ER -