Almost Periodicity In Shifts Delta(+/-) On Time Scales And Its Application To Hopfield Neural Networks

In this paper, we first give three definitions with the aid of the shift operators delta(+/-), that is, almost periodicity in shifts delta(+/-), almost periodic function in shifts delta(+/-) and Delta-almost periodic function in shifts delta(+/-), then by using the theory of calculus on time scales and some mathematical methods, the existence and uniqueness theorem of solution of linear dynamic system on almost periodic time scale in shifts delta(+/-) is obtained. Finally, we applying the obtained results to study the existence and exponential stability of the almost periodic solution in shifts delta(+/-) of a class of Hopfield neural networks with delays, several examples and numerical simulations are given to illustrate and reinforce the main results.