![](/images/graphics-bg.png)
Stability in Mean of Partial Variables for Coupled Stochastic Reaction-Diffusion Systems on Networks: A Graph Approach
Joint Authors
Karimi, Hamid Reza
Kao, Yonggui
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-07
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper is devoted to investigating stability in mean of partial variables for coupled stochastic reaction-diffusion systems on networks (CSRDSNs).
By transforming the integral of the trajectory with respect to spatial variables as the solution of the stochastic ordinary differential equations (SODE) and using Itô formula, we establish some novel stability principles for uniform stability in mean, asymptotic stability in mean, uniformly asymptotic stability in mean, and exponential stability in mean of partial variables for CSRDSNs.
These stability principles have a close relation with the topology property of the network.
We also provide a systematic method for constructing global Lyapunov function for these CSRDSNs by using graph theory.
The new method can help to analyze the dynamics of complex networks.
An example is presented to illustrate the effectiveness and efficiency of the obtained results.
American Psychological Association (APA)
Kao, Yonggui& Karimi, Hamid Reza. 2014. Stability in Mean of Partial Variables for Coupled Stochastic Reaction-Diffusion Systems on Networks: A Graph Approach. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1014304
Modern Language Association (MLA)
Kao, Yonggui& Karimi, Hamid Reza. Stability in Mean of Partial Variables for Coupled Stochastic Reaction-Diffusion Systems on Networks: A Graph Approach. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1014304
American Medical Association (AMA)
Kao, Yonggui& Karimi, Hamid Reza. Stability in Mean of Partial Variables for Coupled Stochastic Reaction-Diffusion Systems on Networks: A Graph Approach. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1014304
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014304