边坡演化的非线性时间序列多元混沌判别

周翠英; 陈恒; 朱凤贤

Volume 33 Issue 3

May 2008

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ZHOU Cui-ying, CHEN Heng, ZHU Feng-xian, 2008. Multivariable Chaotic Discrimination for Slope Evaluation According to Their Nonlinear Displacement-Time Sequence. Earth Science, 33(3): 393-398.

Citation:

ZHOU Cui-ying, CHEN Heng, ZHU Feng-xian, 2008. Multivariable Chaotic Discrimination for Slope Evaluation According to Their Nonlinear Displacement-Time Sequence. Earth Science, 33(3): 393-398.

ZHOU Cui-ying, CHEN Heng, ZHU Feng-xian, 2008. Multivariable Chaotic Discrimination for Slope Evaluation According to Their Nonlinear Displacement-Time Sequence. Earth Science, 33(3): 393-398.

Citation:

ZHOU Cui-ying, CHEN Heng, ZHU Feng-xian, 2008. Multivariable Chaotic Discrimination for Slope Evaluation According to Their Nonlinear Displacement-Time Sequence. Earth Science, 33(3): 393-398.

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Multivariable Chaotic Discrimination for Slope Evaluation According to Their Nonlinear Displacement-Time Sequence

Research Centre for Geotechnical Engineering and Information Technology, School of Engineering, Sun Yat-sen University, Guangzhou 510275, China

Received Date: 2008-03-30
Publish Date: 2008-05-25

Abstract

Abstract

According to the displacement-time sequence data of several slopes, the multivariable chaotic features of slope evaluation process are discussed, including reconstruction for their phase-space by the estimation of delayed time and embedded dimension method, calculation for the correlation dimension D2 of the slope system by eliminating the time correlative points.Then, the multivariable chaotic features of the slopes are studied by calculating their maximum Lyapunov index using the improved Kantz method and taking K₂ as the similar one of Kolmogorov entropy, and by introducing the approximation entropy-ApEn and the chaotic feature index describing the complexity degree of the system.Example analysis shows that the correlation dimension D₂ is a non-integral number for most of slope systems, the maximum Lyapunov index and the entropy value are all bigger than 0, and the complexity degree of the system is located on the interval of (0, 1).By comparing the calculated data with the actual characteristic value of the slope systems, the chaotic features of the slope system are revealed and the chaotic features are clearer in the time period closed to sliding.
- slope evaluation,
- nonlinear displacement-time sequence,
- displacement-phase space reconstruction,
- multivariable chaotic discrimination

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References(23)

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