Existence and Global Exponential Stability of Almost Periodic Solution for High-Order BAM Neural Networks with Delays on Time Scales

C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales

“…In [ 17 , 25 , 26 , 29 ], the existence and stability of almost periodic solutions are studied for several classes of neural networks on almost periodic time scales. However, the almost periodic time scales used in [ 17 , 25 , 26 , 29 ] are a kind of periodic time scales. So, the methods and the results of this paper are essentially new.…”

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

“…Besides, both continuous-time and discrete-time neural networks have equally importance in various applications and the theory of time scales was initiated by Hilger [22] in his Ph.D. thesis in 1988, which can unify the continuous and discrete cases. Many authors have studied the dynamics of neural networks on time scales [15,[23][24][25]. For example, in paper [24], some sufficient conditions for the existence and global exponential stability of almost automorphic solutions for a class of neutral type HHNNs with delays in leakage terms on time scales are obtained; in paper [25], the existence and global exponential stability of anti-periodic solutions for competitive neural networks with delays in the leakage terms on time scales are investigated.…”

Almost Periodic Dynamics for Memristor-Based Shunting Inhibitory Cellular Neural Networks with Leakage Delays

“…For example, Liu et al [20] focused on the almost periodic solution of impulsive Hopfield neural networks with finite distributed delays by applying fixed point theorems, Lyapunov functional, and some inequality techniques. Li et al [21] investigated the existence and global exponential stability of almost periodic solution for high-order BAM neural networks with delays on time scales. By using a fixed point theorem and by constructing a suitable Lyapunov functional, authors established some sufficient conditions to ensure the existence and global exponential stability of almost periodic solution for high-order bidirectional associative memory neural networks with delays on time scales.…”