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Coupling accelerated synchronized network system and design method thereof

A technology of synchronous network and network system, which is applied to the design of the above-mentioned coupling acceleration synchronous network system, network system, coupling acceleration synchronous network system field, and can solve the problems of no design method, no network invention, etc.

Inactive Publication Date: 2012-04-25
UNIV OF SHANGHAI FOR SCI & TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

The application prospect of coupling acceleration synchronization network is very broad, but unfortunately, such a network has not been invented yet, and there is no design method for such a network

Method used

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  • Coupling accelerated synchronized network system and design method thereof
  • Coupling accelerated synchronized network system and design method thereof
  • Coupling accelerated synchronized network system and design method thereof

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0056] Select the node dynamic equation f(·) as a three-dimensional dynamic system

[0057]

[0058] The system has a balance point s=[0 0 0] T , The Jacobian matrix of the node at the synchronization equilibrium point s is Df ( s ) = - 5 2 1 - 4 - 1 2 5 - 2 - 3 , Df(s) has a real eigenvalue p 1 = -1.3011 and a pair of complex eigenvalues ​​p 2，3 = -3.8494±2.2726j. Because p 1 2，3 =-3.84941 = -3.8, z 2 = -4.2, found p 1 - ( p 1 - R ep 2,3 ) 2 + | Imp 2,3 | z 2 z 1 p 1 Satisfies and matrix ∏ is not singular. Through the following equations

[0059] e 1 | - 4 2 5 - 3 - z 1 | - e 2 | - 4 - 1 - z 1 5 - 2 | = | - 1 - z 1 2 - 2 - 3 - z 1 | e 1 | - 4 2 5 ...

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Abstract

The invention discloses a coupling accelerated synchronized network system and a design method thereof. A network provided by the invention has a dissipative coupling structure. A unique synchronization area of the network on the negative real axis is a synchronization area in the shape of (-infinity, alpha 1). The main stability function curve at the interval of (-infinity, alpha 1) shows monotone increasing so that the network synchronizing speed is accelerated with the increase of the coupling strength. The invention further provides a design method of the coupling accelerated synchronized network with nodes of two-dimensional and three-dimensional dynamic systems. The method ensures that the main stability function curve is in monotone increasing on the left half plane under the condition that the synchronization state of the network is at an equilibrium point through calculations over a coupled matrix in a rank 1, thereby a coupling accelerated synchronized network is formed. The network provided by the invention has the advantage that synchronization speed changes with the coupling strength in a monotone way, thus the synchronization speed is conveniently regulated and controlled. The network design method provided by the invention has the advantages of simple calculation, less parameters to be determined, less transmission signals needed by the network and low consumption of operating energy.

Description

Technical field [0001] The present invention belongs to the field of network technology, and relates to a network system, in particular to a coupling acceleration synchronization network system; at the same time, the invention also relates to a design method of the coupling acceleration synchronization network system. Background technique [0002] With the rapid development of science and technology and the continuous improvement of human cognitive ability, people have found that the world is more and more closely connected. Natural, social and engineering systems have shown various network structures, and complex networks are analyzed and portrayed. Kind of sophisticated means and powerful tools for complex structures. Among the many dynamic behaviors in complex networks, synchronization is a basic consistent behavior, and many complex phenomena can be decomposed into synchronization and explained. Synchronization has important application value in signal generators, circuit ne...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L7/00
Inventor 刘歌群许晓鸣
Owner UNIV OF SHANGHAI FOR SCI & TECH
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