摘要
Steady forcing can induce the amplitude death in chaotic systems, which generally exists in coupled dynamic systems. Using the Lorenz system as a typical example, this paper investigates the dynamic behaviours of the chaotic system with steady forcing numerically, and finds that amplitude death can occur as the strength of the steady forcing goes beyond a critical constant.
Steady forcing can induce the amplitude death in chaotic systems, which generally exists in coupled dynamic systems. Using the Lorenz system as a typical example, this paper investigates the dynamic behaviours of the chaotic system with steady forcing numerically, and finds that amplitude death can occur as the strength of the steady forcing goes beyond a critical constant.
基金
Project supported by the National Natural Science Foundation of China （Grant No 40325015）, the National Key Program Development for Basic Research （Grant No 2006CB400503）. The authors would like to thank Professors Yang Jun-Zhong and Zhu Fu-Cheng for help, and especially thank the anonymous reviewers for their valuable comments.
