Boundedness for network of stochastic coupled van der Pol oscillators with time-varying delayed coupling

Chunmei Zhang; Wenxue Li; Ke Wang

doi:10.1016/j.apm.2012.10.032

Boundedness for network of stochastic coupled van der Pol oscillators with time-varying delayed coupling

Chunmei Zhang
, Wenxue Li^*
, Ke Wang

^*Corresponding author for this work

Harbin Institute of Technology Weihai
Northeast Normal University

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

In this paper, network of stochastic van der Pol oscillators with time-varying delayed coupling is considered. By using graph theory and Lyapunov functional method, the asymptotic boundedness in pth moment of the network is investigated. Moreover, by constructing an appropriate Lyapunov function, sufficient principle in the form of coefficients of network which ensures the asymptotic boundedness is established. Finally, a numerical example is given to show the effectiveness of the proposed criteria.

Original language	English
Pages (from-to)	5394-5402
Number of pages	9
Journal	Applied Mathematical Modelling
Volume	37
Issue number	7
DOIs	https://doi.org/10.1016/j.apm.2012.10.032
State	Published - 1 Apr 2013
Externally published	Yes

Keywords

Asymptotic boundedness
Graph theory
Network
Stochastic coupled van der Pol oscillators
Time-varying delayed coupling

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10.1016/j.apm.2012.10.032

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abstract = "In this paper, network of stochastic van der Pol oscillators with time-varying delayed coupling is considered. By using graph theory and Lyapunov functional method, the asymptotic boundedness in pth moment of the network is investigated. Moreover, by constructing an appropriate Lyapunov function, sufficient principle in the form of coefficients of network which ensures the asymptotic boundedness is established. Finally, a numerical example is given to show the effectiveness of the proposed criteria.",

keywords = "Asymptotic boundedness, Graph theory, Network, Stochastic coupled van der Pol oscillators, Time-varying delayed coupling",

author = "Chunmei Zhang and Wenxue Li and Ke Wang",

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AU - Wang, Ke

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Y1 - 2013/4/1

N2 - In this paper, network of stochastic van der Pol oscillators with time-varying delayed coupling is considered. By using graph theory and Lyapunov functional method, the asymptotic boundedness in pth moment of the network is investigated. Moreover, by constructing an appropriate Lyapunov function, sufficient principle in the form of coefficients of network which ensures the asymptotic boundedness is established. Finally, a numerical example is given to show the effectiveness of the proposed criteria.

AB - In this paper, network of stochastic van der Pol oscillators with time-varying delayed coupling is considered. By using graph theory and Lyapunov functional method, the asymptotic boundedness in pth moment of the network is investigated. Moreover, by constructing an appropriate Lyapunov function, sufficient principle in the form of coefficients of network which ensures the asymptotic boundedness is established. Finally, a numerical example is given to show the effectiveness of the proposed criteria.

KW - Asymptotic boundedness

KW - Graph theory

KW - Network

KW - Stochastic coupled van der Pol oscillators

KW - Time-varying delayed coupling

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ER -

Boundedness for network of stochastic coupled van der Pol oscillators with time-varying delayed coupling

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Keywords

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