Anti-periodic solutions for Cohen-Grossberg shunting inhibitory neural networks with delays

被引：0

作者：

Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China ^{[1
]}

机构：

来源：

World Acad. Sci. Eng. Technol. | 2009年 / 878-883期

关键词：

Anti-periodic solutions - Coincidence degree - Coincidence degree theory - Global exponential stability - Lyapunov functionals - Shunting inhibitory cellular neural networks;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By using the method of coincidence degree theory and constructing suitable Lyapunov functional, several sufficient conditions are established for the existence and global exponential stability of anti-periodic solutions for Cohen-Grossberg shunting inhibitory neural networks with delays. An example is given to illustrate our feasible results.

引用

共 50 条

[21] Dynamics of periodic Cohen-Grossberg neural networks with varying delays
Yuan, Zhaohui
Yuan, Lifen
Huang, Lihong
NEUROCOMPUTING, 2006, 70 (1-3) : 164 - 172
[22] ANTI-PERIODIC SOLUTIONS FOR GENERALIZED INERTIAL SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS
Huo, Nina
Li, Yongkun
APPLIED AND COMPUTATIONAL MATHEMATICS, 2019, 18 (01) : 95 - 107
[23] Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
Shao, Jianying
PHYSICS LETTERS A, 2008, 372 (30) : 5011 - 5016
[24] GLOBAL EXPONENTIAL STABILITY AND EXISTENCE OF ANTI-PERIODIC SOLUTIONS TO IMPULSIVE COHEN-GROSSBERG NEURAL NETWORKS ON TIME SCALES
Li, Yongkun
Zhang, Tianwei
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2015, 45 (02) : 363 - 384
[25] Besicovitch Almost Anti-periodic Solution of Octonion-Valued Cohen-Grossberg Neural Networks with Delays on Time Scales
Li, Yongkun
Qi, Weiwei
NEURAL PROCESSING LETTERS, 2024, 56 (01)
[26] The anti-periodic solutions of incommensurate fractional-order Cohen-Grossberg neural network with inertia
Li, Zhiying
Liu, Wei
AIMS MATHEMATICS, 2025, 10 (02): : 3180 - 3196
[27] Existence of periodic solutions for a class of Cohen-Grossberg type neural networks with neutral delays
Mandal, S.
Majee, N. C.
NEUROCOMPUTING, 2011, 74 (06) : 1000 - 1007
[28] EXISTENCE OF POSITIVE PERIODIC SOLUTIONS TO COHEN-GROSSBERG NEURAL NETWORKS WITH DELAYS ON TIME SCALES
Mingjiu Gai
Qiang Zhang
Bao Shi
Annals of Differential Equations, 2013, 29 (01) : 7 - 16
[29] Multiple Periodic Solutions for Cohen-Grossberg BAM Neural Networks with Mixed Delays and Impulses
Liao, Yongzhi
Tang, Qilin
ENGINEERING LETTERS, 2022, 30 (04) : 1185 - 1198
[30] Global exponential stability of periodic solutions for impulsive Cohen-Grossberg neural networks with delays
Kang, Huiyan
Fu, Xinchu
Sum, Zhenlong
APPLIED MATHEMATICAL MODELLING, 2015, 39 (5-6) : 1526 - 1535

← 1 2 3 4 5 →