Simulation and Analysis of Lorenz Systems Dynamics Characteristics
Chaos is similar to stochastic process in deterministic system. A nonlinear dynamics system may exhibit chaotic phenomenon if its parameters match certain combinations. This paper studied the Lorenz system through numeric simulation using phase graph and power spectrum method. It examined the nonlinear properties of the Lorenz system by varying the state parameters in both time and frequency field. It is found that 1) the chaotic patterns of the Lorenz system might emerge out of Pomeau-Manneville route and its intermittence was related to Hopf bifurcation and period-doubling bifurcation; 2) the system had to go through a series of period-doubling bifurcation routes before reaching chaotic state.
Lorenz system Dynamic characteristics Chaos MATLAB Simulation and analysis
Qiguo Yao Guoping Liu
School of Mechanical & Electrical Engineering, Zhejiang Ocean University Zhejiang, Zhoushan, China
国际会议
2009图像分析与信号处理国际会议(2009 International Conference on Image Analysis and Signal Processing)
浙江台州
英文
427-429
2009-04-11（万方平台首次上网日期，不代表论文的发表时间）