SPATIO-TEMPORAL PATTERNS IN A RING NETWORK WITH DELAY AND SQUARE SYMMETRY

被引：0

作者：

Li, Shangzhi ^{[1
]}

Guo, Shangjiang ^{[1
,2
]}

机构：

[1] China Univ Geosci, Ctr Math Sci, Wuhan 430074, Hubei, Peoples R China

[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Delay; neural network; equilibria; spatio-temporal patterns; NEURAL-NETWORKS; HOPF-BIFURCATION; NEURONS; DYNAMICS; WAVES; STABILITY;

D O I：

10.3934/dcdsb.2023084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In this paper, we deal with a neural network model consisting of four neurons with delayed self and nearest-neighbor connections. We provide a full classification of all equilibria and periodic oscillations in the connection weight parameter space. Such a classification is essential for the description of spatio-temporal patterns of the model system and for the applications to dynamic memory storage and retrieval.

引用

页码：22 / 36

页数：15

共 35 条

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