Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays

Existence and exponentially stability of anti-periodic solutions for neutral BAM neural networks with time-varying delays in the leakage terms

“…We know that the existence and stability of anti-periodic solutions play a key role in characterizing the behavior of nonlinear differential equations [3,4,10,14,18,19,20,22,23,24,26,27,31,32,35,36]. For example, the signal transmission process of neural networks can often be described as an anti-periodic process.…”

“…For example, the signal transmission process of neural networks can often be described as an anti-periodic process. In recent years, the anti-periodic problems of neural networks have been investigated by numerous scholars [3,4,10,18,19,20,22,23,24,26,31,35]. Considering that a typical time delay called Leakage (or "forgetting") delay may exist in the negative feedback term of the neural networks system (these terms are variously known as forgetting or leakage terms), some authors discussed the anti-periodic solution of neural networks with delays in the leakage terms (see [5,6,8,12,14,20,24,27,36]).…”

Anti-periodic solutions of Cohen-Grossberg shunting inhibitory cellular neural networks on time scales

“…Thus the existence and stability of anti-periodic solutions are an important topic in characterizing the behavior of nonlinear differential equations [7,8,10,15,16,17,18,21,22,23,24,25,26,29,30,31,32,33,34]. Therefore it is worth while to investigate the existence and stability of anti-periodic solutions for BAM neural networks.…”

Existence and stability of anti-periodic solutions for impulsive fuzzy Cohen-Grossberge neural networks on time scales

“…Arising from problems in applied sciences, the existence of anti-periodic solutions plays a key role in characterizing the behavior of nonlinear differential equations (see [25][26][27][28][29]). It is worth continuing the investigation of the existence and stability of anti-periodic solutions of impulsive fuzzy Cohen-Grossberg neural networks.…”