Almost Periodic Solution in a Lotka–Volterra Recurrent Neural Networks with Time-Varying Delays-Reference-Cited by-同舟云学术

Almost Periodic Solution in a Lotka–Volterra Recurrent Neural Networks with Time-Varying Delays

Published:2017-02-01 Issue:1 Volume:18 Page:19-27
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:
Short-container-title:

Author:

Yang Li¹,Li Zhouhong²,Pang Liyan³,Zhang Tianwei⁴

Affiliation:

1. 1Li Yang, School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221, China

2. 2Zhouhong Li, Department of Mathematics, Yuxi Normal University, Yuxi 653100, Yunnan, China

3. 3Liyan Pang, School of Mathematics and Computer Science, Ningxia Normal University, Guyuan, Ningxia 756000, China

4. 4Tianwei Zhang, City College, Kunming University of Science and Technology, Kunming 650051, China

Abstract

Abstract:By means of Mawhin’s continuation theorem of coincidence degree theory and Lyapunov function, some simple sufficient conditions are obtained for the existence and stability of a unique positive almost periodic solution of a delayed Lotka–Volterra recurrent neural networks. To a certain extent, the work in this paper corrects the defect of a recent paper. Finally, an example and simulations are given to illustrate the feasibility and effectiveness of the main result.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modelling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2015-0171/pdf

Reference56 articles.

1. On the existence and stability of a unique almost periodic solution of Schoener’s competition model with pure-delays and impulsive effects;Commun. Nonlinear Sci. Numer. Simul,2012

2. Positive periodic solutions of neutral Lotka-Volterra system with periodic delays;Appl. Math. Comput,2004

3. A subthreshold MOS circuit for the Lotka-Volterra neural network producing the winner-share-all solution;Neural Networks,1999

4. Almost periodic solution of Cohen-Grossberg neural networks with bounded and unbounded delays;Nonlinear Anal. RWA,2009

5. simple neural network exhibiting selective activation of neuronal ensembles : from winner - take - all to winner - share - all;Fukai;Neural Comput,1997

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