Phase Space Prediction Model Based on the Chaotic Attractor
LI Ke-Ping1,2 , CHEN Tian-Lun2
1 Institute of Systems Science, Northern Jiaotong University, Beijing 100044
2 Department of Physics, Nankai University, Tianjin 300071
Phase Space Prediction Model Based on the Chaotic Attractor
LI Ke-Ping1,2 ;CHEN Tian-Lun2
1 Institute of Systems Science, Northern Jiaotong University, Beijing 100044
2 Department of Physics, Nankai University, Tianjin 300071
关键词 ：
05.45.+b
Abstract ： A new prediction technique is proposed for chaotic time series. The usefulness of the technique is that it removes some false neighbouring points which are not suitable for the local estimation of the dynamics systems. We use a feedforward neural network to approximate the local dominant Lyapunov exponent, and choose the neighbouring points by the exponent. The model is tested for the convection amplitude of the Lorenz model, and the results indicate that this prediction technique can improve the prediction of chaotic time series.
Key words ：
05.45.+b
出版日期: 2002-07-01
[1]
FANG Jin-Qing;YU Xing-Huo. A New Type of Cascading Synchronization for Halo-Chaos and Its Potential for Communication Applications
[2]
He Wei-Zhong;XU Liu-Su;ZOU Feng-Wu. Dynamics of Coupled Quantum--Classical Oscillators
[3]
YIN Hua-Wei;LU Wei-Ping;WANG Peng-Ye. Determination of Optimal Control Strength of Delayed Feedback Control Using Time Series
[4]
HE Kai-Fen. Hopf Bifurcation in a Nonlinear Wave System
[5]
CHEN Jun;LIU Zeng-Rong. A Method of Controlling Synchronization in Different Systems
[6]
ZHENG Yong-Ai;NIAN Yi-Bei;LIU Zeng-Rong. Impulsive Synchronization of Discrete Chaotic Systems
[7]
FANG Jin-Qing;YU Xing-Huo;CHEN Guan-Rong. Controlling Halo-Chaos via Variable Structure Method
[8]
ZHANG Guang-Cai;ZHANG Hong-Jun;. Control Method of Cooling a Charged Particle Pair in a Paul Trap
[9]
ZHENG Yong-Ai;NIAN Yi-Bei;LIU Zeng-Rong. Impulsive Control for the Stabilization of Discrete Chaotic System
[10]
ZHANG Hai-Yun; HE Kai-Fen. Charged Particle Motion in Temporal Chaotic and Spatiotemporal
Chaotic Fields
[11]
ZHOU Xian-Rong;MENG Jie;;ZHAO En-Guang;. Spectral Statistics in the Cranking Model
[12]
LIN Sheng-Lu;ZHANG Qiu-Ju;ZHAO Ke;SONG Xiao-Hong;ZHANG Yan-Hui. Semiclassical Calculations of Recurrence Spectra for Lithium Atoms in Parallel Electric and Magnetic Fields
[13]
HE Kai-Fen. Time-Averaged Behaviour at the Critical Parameter Point of Transition to Spatiotemporal Chaos
[14]
WANG Wen-Ge. Approximate Scaling Behaviour of Local Spectral Density of
States at Relatively Weak Perturbation: a Schematic Shell Model
[15]
XU Gong-Ou;XU Ming-Jie;XING Yong-Zhong;YANG Ya-Tian;. Dynamical-Symmetry Breaking, Mechanism and Characterization
Behaviour
2002, Vol. 19 
