Solitary Wave and Periodic Wave Solutions of Generalized Neutral-Type Neural Networks with Delays

被引：4
作者：
Kong, Fanchao [1 ,2 ]
Lu, Shiping [3 ]
Luo, Zhiguo [1 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Minist Educ China, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
[2] Changsha Univ, Math & Comp Sci Coll, Changsha 410022, Hunan, Peoples R China
[3] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
来源：
NEURAL PROCESSING LETTERS | 2018年 / 48卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Solitary wave; Periodic wave; Continuation theorem; Neutral-type neural networks; Delay; GLOBAL EXPONENTIAL STABILITY; DISTRIBUTED TIME DELAYS; DIFFERENTIAL-EQUATION; HOMOCLINIC SOLUTIONS; HAMILTONIAN-SYSTEMS; EXISTENCE; KIND;
D O I：
10.1007/s11063-017-9747-7
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we are concerned with the generalized neutral-type neural networks with delays. By employing the continuation theorem and some analysis techniques, several sufficient conditions of the existence of solitary wave and periodic wave solutions for the considered neural networks are proposed. Moreover, we also consider the asymptotic behavior results of periodic wave solutions via the Lyapunov function. Finally, a numerical example is given to illustrate the effectiveness of our obtained results.
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页码：441 / 458
页数：18
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