Dynamic analysis of fractional-order neural networks with inertia

被引：0

作者：

Li, Zhiying ^{[1
]}

Jiang, Wangdong ^{[1
]}

Zhang, Yuehong ^{[1
]}

机构：

[1] Shaoxing Univ, Yuanpei Coll, Fundamental Educ Dept, Shaoxing 312000, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 09期

关键词：

fractional-order neural networks; contraction mapping principle; inertia; existence; S-asymptotic ? -periodic; MITTAG-LEFFLER STABILITY; OMEGA-PERIODICITY; SYNCHRONIZATION; MODELS;

D O I：

10.3934/math.2022927

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and the S-asymptotic omega-periodic of the solution in fractional-order CohenGrossberg neural networks with inertia are studied in this paper. Based on the properties of the Riemann-Liouville (R-L) fractional-order derivative and integral, the contraction mapping principle, and the Arzela-Ascoli theorem, sufficient conditions for the existence and the S-asymptotic omega-period of the system are achieved. In addition, an example is simulated to testify the theorem.

引用

页码：16889 / 16906

页数：18

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