Dynamic behavior analysis method based on small world network model

A small-world network and behavior analysis technology, applied in the direction of complex mathematical operations, can solve problems such as system communication delays, and achieve the effect of highlighting substantive features and good operability

Inactive Publication Date: 2018-12-04
NANJING UNIV OF POSTS & TELECOMM
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The N-W model was also proposed in the same year, but it ...

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  • Dynamic behavior analysis method based on small world network model
  • Dynamic behavior analysis method based on small world network model
  • Dynamic behavior analysis method based on small world network model

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[0025] The specific implementation of the present invention will be further described in detail below in conjunction with the accompanying drawings of the embodiments, so as to make the technical solution of the present invention easier to understand and grasp, so as to define and support the protection scope of the present invention more clearly.

[0026] In a nutshell, the dynamic behavior analysis method based on the small-world network model proposed by the present invention is based on the fractional order theory. The main steps are briefly described as follows: give the integer-order small-world network model of the controlled object, and analyze the dynamic behavior of the model; use the fractional-order theory and method to transform the integer-order small-world network model into a fractional-order small-world network model The world network model, analyze the stability characteristics and equilibrium point information of the fractional order model; select the system ...

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Abstract

The invention provides a dynamic behavior analysis method based on a small world network model. The invention discloses a fractional-order design method of the small world network model, and the method comprises a step of giving an integer-order small world network model of a controlled object and converting the original integer-order small world network model into a fractional-order small world network model through a fractional-order theory and method, a step of selecting a system delay parameter as a bifurcation parameter and carrying out stability and bifurcation analysis on a controlled system through a corresponding theory, and a step of obtaining corresponding conclusions through the analysis of a characteristic equation of the controlled system and finally verifying the correctnessof the theory and the characteristics of a dynamic behavior through MATLAB simulation. According to the method, the original integer-order model is in a transition to the fractional-order model for research, by selecting appropriate delay parameters and fractional-order exponents, the stability of the system is changed, and the increase or decrease of a stability domain can be controlled by specific parameter settings, and the controlled system has better operability.

Description

technical field [0001] The invention relates to an analysis method of fractional-order dynamic behavior based on a small-world network model, and belongs to the technical field of controllers. Background technique [0002] At present, in many fields, the small-world network is regarded as a type of mathematical graph. A characteristic of this type of graph is that most of the nodes in the graph are not adjacent to other nodes, but Most of the nodes can be reached from other points through a few steps. In addition, if the points in a small-world network are represented as a person, and the connecting lines are represented as mutual acquaintances, then this small-world network can show the small-world phenomenon that strangers are connected by people who know each other. In 1998, Watts and Strogatz proposed a small-world network model network, which was used to describe a gradual process from a regular network to a random network. The N-W model was also proposed in the same ...

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Application Information

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IPC IPC(8): G06F17/13
CPCG06F17/13
Inventor 朱凡超肖敏
Owner NANJING UNIV OF POSTS & TELECOMM
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