THRESHOLD VALUE FOR DIAGNOSIS OF CHAOTIC NATURE OF THE DATA OBTAINED IN NONLINEAR DYNAMIC ANALYSIS

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (6): 513-520.

THRESHOLD VALUE FOR DIAGNOSIS OF CHAOTIC NATURE OF THE DATA OBTAINED IN NONLINEAR DYNAMIC ANALYSIS

马军海¹, 陈予恕², 刘曾荣³

1. Institute of Systems Engincering, Southeast University, Nanjing 210018. P. R. China;
2. Department of Mechanics, Tianjing University, Tianjing 300072, P. R. China;
3. Department of Mathcmatics, Shanghai Univcrstiy, Shanghai 201800, P. R. China

收稿日期:1996-09-20 修回日期:1998-03-01 出版日期:1998-06-18 发布日期:1998-06-18
基金资助:
Project supported by the National Natural Scicnce Foundation of China

THRESHOLD VALUE FOR DIAGNOSIS OF CHAOTIC NATURE OF THE DATA OBTAINED IN NONLINEAR DYNAMIC ANALYSIS

Ma Junhai¹, Chen Yushu², Liu Zengrong³

1. Institute of Systems Engincering, Southeast University, Nanjing 210018. P. R. China;
2. Department of Mechanics, Tianjing University, Tianjing 300072, P. R. China;
3. Department of Mathcmatics, Shanghai Univcrstiy, Shanghai 201800, P. R. China

Received:1996-09-20 Revised:1998-03-01 Online:1998-06-18 Published:1998-06-18
Supported by:
Project supported by the National Natural Scicnce Foundation of China

摘要/Abstract

摘要： Ii this puper surrogate tlata melhod of phase-randomized is proposed to identify the random or chuotic naature of the data ohtained in dynamie anatysis. The cateulating results validale the phase-randomized method tc be useful as it ean increase the extentof accuraey of the results. And the calculating results show that threshold values of the random time series and nonlinear chuotic timeseries have marked differenee.

关键词: chaotic timcseries, surrogate-data, threshold value, random timeseries

Abstract: Ii this puper surrogate tlata melhod of phase-randomized is proposed to identify the random or chuotic naature of the data ohtained in dynamie anatysis. The cateulating results validale the phase-randomized method tc be useful as it ean increase the extentof accuraey of the results. And the calculating results show that threshold values of the random time series and nonlinear chuotic timeseries have marked differenee.

Key words: chaotic timcseries, surrogate-data, threshold value, random timeseries

马军海;陈予恕;刘曾荣. THRESHOLD VALUE FOR DIAGNOSIS OF CHAOTIC NATURE OF THE DATA OBTAINED IN NONLINEAR DYNAMIC ANALYSIS[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(6): 513-520.

Ma Junhai;Chen Yushu;Liu Zengrong. THRESHOLD VALUE FOR DIAGNOSIS OF CHAOTIC NATURE OF THE DATA OBTAINED IN NONLINEAR DYNAMIC ANALYSIS[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(6): 513-520.

参考文献

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THRESHOLD VALUE FOR DIAGNOSIS OF CHAOTIC NATURE OF THE DATA OBTAINED IN NONLINEAR DYNAMIC ANALYSIS

THRESHOLD VALUE FOR DIAGNOSIS OF CHAOTIC NATURE OF THE DATA OBTAINED IN NONLINEAR DYNAMIC ANALYSIS

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