In this thesis,a class quaternion-valued generalized cellular neural networks with time-varying delays and impulsive effects are studied.Firstly,based on constructing suitable Lyapunov function and applying inequality technique,the existence of anti-periodic solutions for quaternion-valued cellular neural networks with delays and impulsive effects and the synchronization of drive-response system are obtained.Then we will give two examples to illustrate the feasibility and effectiveness of main results. |