The existence of periodic solutions for coupled Rayleigh system

Ying Guo; Shuang Liu; Xiaohua Ding

doi:10.1016/j.neucom.2016.01.039

The existence of periodic solutions for coupled Rayleigh system

Ying Guo, Shuang Liu, Xiaohua Ding^*

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

This paper is concerned with the existence of periodic solutions for coupled Rayleigh system (CRS). A sufficient criterion for the existence of periodic solutions for CRS is provided via an innovative method of combining graph theory with coincidence degree theory as well as Lyapunov method. As a subsequent result, coupled Lord Rayleigh system is also discussed. Subsequently, a sufficient condition is given to determine the existence of its periodic solutions. Finally, a numerical example and its simulations are presented to illustrate the effectiveness and feasibility of the proposed criterion.

Original language	English
Pages (from-to)	398-408
Number of pages	11
Journal	Neurocomputing
Volume	191
DOIs	https://doi.org/10.1016/j.neucom.2016.01.039
Publication status	Published - 26 May 2016
Externally published	Yes

Keywords

Coincidence degree theory
Coupled Rayleigh system
Graph theory
Periodic solutions

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10.1016/j.neucom.2016.01.039

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title = "The existence of periodic solutions for coupled Rayleigh system",

abstract = "This paper is concerned with the existence of periodic solutions for coupled Rayleigh system (CRS). A sufficient criterion for the existence of periodic solutions for CRS is provided via an innovative method of combining graph theory with coincidence degree theory as well as Lyapunov method. As a subsequent result, coupled Lord Rayleigh system is also discussed. Subsequently, a sufficient condition is given to determine the existence of its periodic solutions. Finally, a numerical example and its simulations are presented to illustrate the effectiveness and feasibility of the proposed criterion.",

keywords = "Coincidence degree theory, Coupled Rayleigh system, Graph theory, Periodic solutions",

author = "Ying Guo and Shuang Liu and Xiaohua Ding",

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AU - Guo, Ying

AU - Liu, Shuang

AU - Ding, Xiaohua

PY - 2016/5/26

Y1 - 2016/5/26

N2 - This paper is concerned with the existence of periodic solutions for coupled Rayleigh system (CRS). A sufficient criterion for the existence of periodic solutions for CRS is provided via an innovative method of combining graph theory with coincidence degree theory as well as Lyapunov method. As a subsequent result, coupled Lord Rayleigh system is also discussed. Subsequently, a sufficient condition is given to determine the existence of its periodic solutions. Finally, a numerical example and its simulations are presented to illustrate the effectiveness and feasibility of the proposed criterion.

AB - This paper is concerned with the existence of periodic solutions for coupled Rayleigh system (CRS). A sufficient criterion for the existence of periodic solutions for CRS is provided via an innovative method of combining graph theory with coincidence degree theory as well as Lyapunov method. As a subsequent result, coupled Lord Rayleigh system is also discussed. Subsequently, a sufficient condition is given to determine the existence of its periodic solutions. Finally, a numerical example and its simulations are presented to illustrate the effectiveness and feasibility of the proposed criterion.

KW - Coincidence degree theory

KW - Coupled Rayleigh system

KW - Graph theory

KW - Periodic solutions

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SN - 0925-2312

VL - 191

SP - 398

EP - 408

JO - Neurocomputing

JF - Neurocomputing

ER -

The existence of periodic solutions for coupled Rayleigh system

Abstract

Keywords

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