The existence of inner synchronized stationary distribution for stochastic coupled systems on networks

Sen Li, Huan Su and Xiaohua Ding

Physica A: Statistical Mechanics and its Applications, 2020, vol. 538, issue C

Abstract: This paper is concerned with the existence of inner synchronized stationary distribution for stochastic coupled systems on networks (SCSNs), which is the first time to consider this problem. Compared with the existing results on inner synchronization problem, we study the problem based on Lyapunov method and Kirchhoff’s Matrix Tree Theorem in graph theory without utilizing Kronecker product method and Linear matrix inequalities, which simplifies some complex analysis and avoids difficulties. Then some new sufficient conditions are presented to guarantee the existence of inner synchronized stationary distribution for SCSNs. These conditions show that the existence domain of inner synchronized stationary distribution has a close relationship with stochastic perturbation intensity. And when stochastic perturbation vanishes, inner synchronized stationary distribution will become complete synchronization. To illustrate the practicability of theoretical results, an application about stochastic coupled oscillators is given with a numerical example being carried out.

Keywords: Inner synchronized stationary distribution; Stochastic coupled systems; Graph theory; Lyapunov method; Stochastic coupled oscillators (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119316085
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:538:y:2020:i:c:s0378437119316085

DOI: 10.1016/j.physa.2019.122828

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().