Anti-periodic solutions for a class of Cohen–Grossberg neural networks with time-varying delays on time scales

On a new type of almost periodic time scales, a class of BAM neural networks is considered. By employing a fixed point theorem and differential inequality techniques, some sufficient conditions ensuring the existence and global exponential stability ofC1-almost periodic solutions for this class of networks with time-varying delays are established. Two examples are given to show the effectiveness of the proposed method and results.

Download Full-text

Existence and stability of almost-periodic solutions for cellular neural networks with time-varying delays in leakage terms on time scales

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.03.051 ◽

2014 ◽

Vol 237 ◽

pp. 639-649 ◽

Cited By ~ 30

Author(s):

Jin Gao ◽

Qi-Ru Wang ◽

Liu-Wei Zhang

Keyword(s):

Neural Networks ◽

Periodic Solutions ◽

Time Scales ◽

Cellular Neural Networks ◽

Time Varying ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Existence And Stability

Download Full-text

Existence and exponential stability of almost-periodic solutions for neutral BAM neural networks with time-varying delays in leakage terms on time scales

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3574 ◽

2015 ◽

Vol 39 (6) ◽

pp. 1361-1375 ◽

Cited By ~ 4

Author(s):

Jin Gao ◽

Qiru Wang ◽

Yuan Lin

Keyword(s):

Neural Networks ◽

Exponential Stability ◽

Periodic Solutions ◽

Time Scales ◽

Time Varying ◽

Bam Neural Networks ◽

Almost Periodic Solutions ◽

Almost Periodic

Download Full-text

Pseudo almost periodic solutions for quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales

AIMS Mathematics ◽

10.3934/math.2021585 ◽

2021 ◽

Vol 6 (9) ◽

pp. 10070-10091

Author(s):

Xiaofang Meng ◽

◽

Yongkun Li

Keyword(s):

Neural Networks ◽

Periodic Solutions ◽

Time Scales ◽

Hopfield Neural Networks ◽

Time Varying ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Leakage Delays ◽

Pseudo Almost Periodic Solutions ◽

Pseudo Almost Periodic

Download Full-text

Pseudo almost periodic solutions for neutral type high-order Hopfield neural networks with mixed time-varying delays and leakage delays on time scales

International Journal of Machine Learning and Cybernetics ◽

10.1007/s13042-016-0570-7 ◽

2016 ◽

Vol 8 (6) ◽

pp. 1915-1927 ◽

Cited By ~ 19

Author(s):

Yongkun Li ◽

Xiaofang Meng ◽

Lianglin Xiong

Keyword(s):

Neural Networks ◽

Periodic Solutions ◽

Time Scales ◽

Neutral Type ◽

Time Varying ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Leakage Delays ◽

Pseudo Almost Periodic Solutions ◽

Pseudo Almost Periodic

Download Full-text

Periodic Solutions for Shunting Inhibitory Cellular Neural Networks of Neutral Type with Time-Varying Delays in the Leakage Term on Time Scales

Journal of Applied Mathematics ◽

10.1155/2014/496396 ◽

2014 ◽

Vol 2014 ◽

pp. 1-16 ◽

Cited By ~ 1

Author(s):

Yongkun Li ◽

Lei Wang ◽

Yu Fei

Keyword(s):

Neural Networks ◽

Periodic Solutions ◽

Time Scales ◽

Fixed Point Theorems ◽

Neutral Type ◽

Sufficient Conditions ◽

Cellular Neural Networks ◽

Time Varying ◽

Leakage Term ◽

Linear Dynamic

A class of shunting inhibitory cellular neural networks of neutral type with time-varying delays in the leakage term on time scales is proposed. Based on the exponential dichotomy of linear dynamic equations on time scales, fixed point theorems, and calculus on time scales we obtain some sufficient conditions for the existence and global exponential stability of periodic solutions for that class of neural networks. The results of this paper are completely new and complementary to the previously known results even if the time scale𝕋=ℝorℤ. Moreover, we present illustrative numerical examples to show the feasibility of our results.

Download Full-text