The bifurcation threshold value of the chaos detection system for a weak signal

• 来源期刊: 中国物理(英文版)
• 关键词: chaos detection bifurcation threshold value weak signal phase plane Lyapunov exponent
• 年，卷（期）: 2003,（7）
• 页码范围: 714-720
• 页数: 7页
• 语种: 英文

摘要

Recently, it has become an important problem to confirm the bifurcation threshold value of a chaos detectionsystem for a weak signal in the fields of chaos detection. It is directly related to whether the results of chaos detectionare correct or not. In this paper, the discrimination system for the dynamic behaviour of a chaos detection system fora weak signal is established by using the theory of linear differential equation with periodic coefficients and computingthe Lyapunov exponents of the chaos detection system; and then, the movement state of the chaos detection system isdefined. The simulation experiments show that this method can exactly confirm the bifurcation threshold value of thechaos detection system.