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《Journal of Dynamics and Control》 2006-01
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ANALIZING COMPLEXITY OF DYNAMICAL SYSTEMS BASED ON DYNAMICAL FRAME PARTITION

Li Jiankang Zhang Chunli Xie Xingxing Li Shu (Faculty of Science,Jiangsu University,Zhenjiang 212013,China)  
There is a good property of topology conjugated between the dynamics system and the symbolic dynamics. In this paper, dynamic frame partition method, which is used to transform the time series of the dynamical system into the symbolic time series, is proposed. We compute the Lempel-Ziv complexity value of the symbolic series. And then the intrinsic complexity of the system can be made qualitative analysis. At last, a numerical simulation result indicates that the proposed method can describe the complexity of the dynamics system and can qualitatively estimate the property of the system.
【CateGory Index】: O316
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Jin Ningde Li Weibo ( School of Electrical Engineering and Automation , Tianjin University, Tianjin 300072, China );STUDY ON THE ANALYSIS METHOD OF NONLINEAR SYMBOLIC TIME SERIES[J];Journal of Dynamics and Control;2004-03
【Co-citations】
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1 ZHOU Yun-Long LI Hong-Wei SONG Lian-Zhuang LIU Chuan (Northeast Dianli University,Jilin 132012,China);IDENTIFICATION METHOD OF OIL-AIR-WATER THREE-PHASE FLOW REGIME BASED ON CHAOTIC CHARACTERISTIC OF IMAGE GRAY SIGNALS[J];Journal of Engineering Thermophysics;2009-05
2 WANG Ying-wei1,XUE Lin-fu2,PAN Bao-zhi1(1.College of GeoExploration Science and Technology,Jilin University,Changchun,Jilin 1300262,China;2.College of Earth Sciences,Jilin University,Changchun,Jilin 130061,China);Identification of Base Level Cycle Using Symbolic Analysis Method[J];Well Logging Technology;2009-03
3 Chen Taowei1,Jin Weidong2 (1.School of Information Science & Technology,Southwest Jiaotong University,Chengdu,610031,China;2.School of Electrical Engineering,Southwest Jiaotong University,Chengdu,610031,China);Intra-Pulse Feature Extraction of Radar Emitter Signals Based on Symbolization Method[J];Journal of Data Acquisition & Processing;2008-05
4 ZHOU Yun-long1,LI Hong-wei2,SONG Jun-qi2,SUN Bin1 (1.College of Energy Resource and Mechanical Engineering,Northeast Dianli University,Jilin 132012,China;2.College of Automatic Engineering,Northeast Dianli University,Jilin 132012,China);CHAOTIC CHARACTERISTIC ANALYSIS OF IMAGE GRAY SIGNALS OF OIL-AIR-WATER THREE-PHASE FLOW IN VERTICAL UPWARD PIPE[J];Acta Petrolei Sinica(Petroleum Processing Section);2009-04
5 ZHOU Yun-long, LI Hong-wei, HE Qiang-yong ((Northeast Dianli University, Jilin 132012, Jilin Province, China));Chaotic Characteristic Analysis of Oil-air-water Three-phase Flow in Vertical Upward Pipe Based on Image Gray Signals[J];Proceedings of the CSEE;2008-35
【Co-references】
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1 WANG Yun-xiong~1,WENG Yi-fang~(1,2),ZHENG De-ling~2(1.College of Information Engineering,Beijing Technology and Business University,Beijing 100037,China;2.School of Information Engineering,University of Science and Technology Beijing,Beijing 100083,China);STUDY ON THE CHAOS' COMPLEXITY ANALYSIS METHODOLOGY AND APPLICATION TO LOGISTIC MAP[J];Journal of Beijing Technology and Business University(Natural Science Edition);2006-02
2 JIN Chen-hui,YANG Yang (Electronic Technology Institute,PLA Information Engineering University,Zhengzhou,Henan 450004,China);A Divide-and-Conquer Attack on Self-Synchronous Chaotic Ciphers[J];Acta Electronica Sinica;2006-07
3 YOU Rong-yi~(1,2), CHEN Zhong+2 (1^ Dept. of Computational Science & Applied Physics, Jimei University, Xiamen 361021, China;=2^ Department of Physics, Xiamen University, Xiamen 361005, China);Calculation of the Approximate Entropy and the Information Entropy of EEG in Phase Space[J];Chinese Journal of Computation Physics;2004-04
4 DANG Jian-wu, HUANG Jian-guo (Northwestern Polytechnical University, Xi' an Shanxi 710072, China);Study of the Parameters Used in Calculating Correlative Dimension Based on G. P Algorithm[J];Application Research of Computers;2004-01
5 SHAN Liang, QIANG Hao, LI Jun, WANG Zhi-quan(Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, China.);Chaotic optimization algorithm based on Tent map[J];Control and Decision;2005-02
6 FENG Zhou-yan(Department of Biotechnology,College of Life Science,Zhejiang Univ ersity,Hangzhou310027,China);DYNAMIC ANALYSIS OF THE RAT EEG USING WAVELET ENTROPY[J];Acta Biophysica Sinica;2002-03
7 Gong Yunfan Shi Xizhi(National Key Lab for Vibration, Shock & Noise, Shanghai Jiaotong University, Shanghai 200030)Ren Wei(Institute of Space Medico-engineering, PO Box 5104, Branch 15, Beijing 100094)Xu Jianxue(Department of Engineering Mechanics, X;ANALYZING INTERSPIKE INTERVALS OF NEURONFIRINGS BASED ON CHAOTIC NOISE REDUCTION[J];ACTA BIOPHYSICA SINICA;1999-02
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10 Cai Jue-Ping 1) Li Zan 2) Song Wen-Tao 1) 1)(Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200030, China) 2)(State Key Laboratory of ISN, Xidian University, Xi′an 710071, China);Analysis on the chaotic pseudo-random sequence complexity[J];Acta Physica Sinica;2003-08
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