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Cluster synchronization method of complex time delay network

A time-delay network and complex technology, applied in the field of complex networks, can solve problems such as no related research on complex time-delay network clustering synchronization, and achieve an easy-to-use effect

Inactive Publication Date: 2010-08-11
HOHAI UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, there is no related research on clustering synchronization of complex time-delay networks with time-varying coupling strength.

Method used

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  • Cluster synchronization method of complex time delay network
  • Cluster synchronization method of complex time delay network
  • Cluster synchronization method of complex time delay network

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Embodiment

[0035] Example: in figure 1 In , the network has a total of 10 nodes and 9 edges. Assume that the nodes in the network are divided into 3 groups, and the nodes in each group are 4, 3 and 3, specifically: G 1 = {1, 2, 5, 8}, G 1 = {3, 9, 10} and G 3 = {4, 6, 7}. The expected state of the nodes in each group at time t is taken as the arithmetic mean of all nodes in the group, namely:

[0036] s 1 ( t ) = s 2 ( t ) = s 5 ( t ) = x ...

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Abstract

The invention discloses a cluster synchronization method of complex time delay network. The method comprises the following steps: for a given complex time delay network, grouping is performed to nodes according to the synchronization state to be achieved by network, nodes in the same group achieve the same state and nodes in different groups achieve different states; and control input only depending to local information is exerted on each node, and the coupling strength between nodes performs adaptive increase according to the local information of the connected nodes of coupling strength fromtime zero until the network achieves cluster synchronization. When the maximal delay time of all the nodes in network is less than the critical value, the network achieves cluster synchronization; but when the maximal delay time of all the nodes in network is more than the critical value, the network can not achieve cluster synchronization.

Description

technical field [0001] The invention belongs to the technical field of complex networks, and in particular relates to a clustering synchronization method of an undirected time-delay weighted network. Background technique [0002] Recently, research on complex networks has begun to pay more attention to the dynamic behavior of networks with a large number of nodes and complex connection structures. Synchronization is one of the important dynamic behaviors. Synchronization refers to two or more dynamic systems, through the mutual coupling between the systems, the states of the dynamic systems that evolve under different initial conditions are gradually approached, and finally reach the same state. Synchronization behavior of complex networks is a technical problem of great practical significance and theoretical value in complex dynamical systems. Synchronization phenomena are common in scientific research fields such as coupled laser systems, biochemical systems, and communi...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04W56/00H04W84/18
Inventor 卢新彪秦补枝
Owner HOHAI UNIV
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