Uniform attractors of periodic and asymptotically periodic dynamical systems

作者：Zhong CK^*; Li DS; Kloeden PE

来源：Discrete and Continuous Dynamical Systems, 2005, 12(2): 213-232.

• uniform forward global attractor
• uniform global attractor
• simiuniform global attractor
• periodic process
• asymptotically periodic process

The uniform forward global at,tractors of periodic systems and the comparison of the dynamics between asymptotically periodic non-autonomous dynamical systems and their corresponding limiting periodic processes are investigated. The existence and Lyapunov stability of such attractors are established and a Lyapunov functional charecterization of uniform forward global attractors of non-autonomouz periodic processes is presented. The results are illustrated with examples of ordinary and delay differential equations.

• 出版日期2005-2
• 单位兰州大学