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时滞忆阻Cohen-Grossberg神经网络周期解的存在性

王有刚 武怀勤

西华大学学报(自然科学版)2017,Vol.36Issue(5):22-30,35,10.
西华大学学报(自然科学版)2017,Vol.36Issue(5):22-30,35,10.DOI:10.3969/j.issn.1673-159X.2017.05.004

时滞忆阻Cohen-Grossberg神经网络周期解的存在性

Existence of Periodic Solutions for Memristive Cohen-Grossberg Neural Networks with Delays

王有刚 1武怀勤2

作者信息

  • 1. 吕梁学院数学系,山西 吕梁 033001
  • 2. 燕山大学理学院,河北 秦皇岛 066004
  • 折叠

摘要

Abstract

The objective of this paper is to investigate the periodic dynamical behaviors for a class of Memristive Cohen-Grossberg neural networks with time-varying delays. By employing M-matrix theory, differential inclusions theory and the Mawhin-like coin-cidence theorem in set-valued analysis, the existence of the periodic solution for the network system was proved. Finally, an illustra-tive example was given to demonstrate the validity of the theoretical results and the existence of periodic solution and equilibrium point was described visually by graphical simulation.

关键词

忆阻/Cohen-Grossberg神经网络/周期解/时变时滞

Key words

memristor/Cohen-Grossberg neural networks/periodic solution/time-varying delays

分类

信息技术与安全科学

引用本文复制引用

王有刚,武怀勤..时滞忆阻Cohen-Grossberg神经网络周期解的存在性[J].西华大学学报(自然科学版),2017,36(5):22-30,35,10.

基金项目

国家自然科学基金资助项目(71071133). (71071133)

西华大学学报(自然科学版)

OACSTPCD

1673-159X

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