An averaging model for chaotic system with periodic time-varying parameter

作者：Mao, Yu; Tang, Wallace K. S.^*; Danca, Marius-F.

来源：Applied Mathematics and Computation, 2010, 217(1): 355-362.

DOI：10.1016/j.amc.2010.05.068

• Averaging model
• Chaotic system
• Chen system
• Chua's circuit
• Parameter switching
• Time-varying system

In this paper, we provide a mathematical justification to explain the dynamics of chaotic system with periodic time-varying parameter which have been illustrated by some of us in a previous paper [1]. Based on an equivalent averaging model, it is proved that such a parametric time-varying system follows the same trajectory of its averaging model, provided that the parameter is varied periodically with a sufficiently high frequency. Some other observations related with this class of chaotic systems are also remarked in this paper.

• 出版日期2010-9-1
• 单位香港城市大学