The application of symplectic geometry on nonlinear dynamics analysis of the experimental data

Min Lei1, Zhizhong Wang2, Zhengjin Feng1
1Institute of Mechatronic Control System, Shanghai Jiaotong University, Shanghai, China
2Department of Biomedical Engineering, Shanghai Jiaotong University, Shanghai, China

Tóm tắt

For nonlinear dynamic analysis of the experiment data, one often uses SVD decomposition to reconstruct embedding dimension of attractor because of its simpleness. However, it is hardly for singular value decomposition (SVD) decomposition to get good results in the attractor reconstruction of the experiment data. For this, symplectic geometry method is proposed to estimate embedding dimension of reconstruction attractor in this paper. We illustrate the feasibility of this method and give the embedding dimension of the action surface EMG signal.

Từ khóa

#Geometry #Nonlinear dynamical systems #Delay effects #Electromyography #Surface reconstruction #Chaos #State-space methods #Time series analysis #Data analysis #Mechatronics

Tài liệu tham khảo

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