Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Acta Physica Sinica》 2013-17
Add to Favorite Get Latest Update

A new method to directly observe the state of a single-variable nonlinear system with oscilloscope

Chen Hong;Wu Ling;Gu Shu-Bin;Yang Kai;Electronic Engineer College,Heilongjiang University;  
In order to solve the problem why it was hard to observe the single-variable nonlinear system,this article proposed the 45 line method. In this method,the continuous signal changing with time was transformed into dots on the 45 line of the rectangular coordinates,so that it could be directly displayed on a general dual-trace oscilloscope(either analog or digital). In this way,it is convenient to directly observe and analyze various states of single-variable system while the system is running,such as the periodical stable states,the local and global non-stable states. The mechanism of this method was expounded in this paper. In addition,the key issues in physical circuit design and implementation of this method were researched and solved,i.e.,the useful signal which reflected the state of the system could be extracted from the continuously changing signal. Since the Chua's circuit is a typical nonlinear system,and it could produce abundant states with variation of parameters,so it was chosen as the system under test to conduct a great number of physical experiments. The experimental results confirmed the effectiveness and practicability of this method.
【Fund】: 国家自然科学基金(批准号:61072072);; 黑龙江省自然科学基金(批准号:F201249);; 黑龙江省教育厅科研项目(批准号:12521402)资助的课题~~
【CateGory Index】: TM132
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 8 Hits
1 JIANG Hui-feng1,2,CHEN Sen-fa1(1.School of Economics and Management,Southeast University,Nanjing 210096,China;2.School of Science,Hubei University of Technology,Wuhan 430068,China);A Novel Method for Real-time Rapid Identification of Chaos in Traffic Flow[J];Systems Engineering;2009-12
2 CAO Zheng-cai1,HAN Ding-fu1,WANG Yong-ji2(1.College of Information Science and Technology,Beijing University of Chemical Technology,Beijing 100029,China;2.State Key Laboratory of Computer Science,Institute of Software,Chinese Academy of Sciences,Beijing 100080,China);A Novel Dynamic Path Optimization Method for Urban Traffic Networks[J];Acta Electronica Sinica;2012-10
3 YANG Hao 1,WU Wei 1,2(1.State Key Laboratory of Power Transmission Equipment &System Security and New Technology,Chongqing University,Chongqing 400044,China;2.Neijiang Electric Power Bureau of Sichuan Electric Power Corporation,Neijiang 641100,China);On-line Monitoring Method of Icing Transmission Lines Based on 3D Reconstruction[J];Automation of Electric Power Systems;2012-23
4 WANG Wei-kui,ZENG Zhou-mo,LI Yi-bo,JIN Shi-jiu(State Key Laboratory of Precision Measuring Technology and Instruments(Tianjin University),Tianjin 300072,China);Auto Recognition of Acoustic Emission Source Distribution Regions of Tank Bottom Based on Wavelet Clustering[J];Nanotechnology and Precision Engineering;2012-06
5 Zhang Yong Guan Wei(Institute of Systems Engineering and Control, Beijing Jiaotong University, Beijing 100044, China);Predication of multivariable chaotic time series based on maximal Lyapunov exponent[J];Acta Physica Sinica;2009-02
6 Tang Jie~(1)) Zhang Xiong~(2)+) 1)(School of Physics and Telecommunication Engineering,Shaanxi University of Technology,Hanzhong 723001,China) 2)(College of Physics and Electronics,Yunnan Normal University,Kunming 650092,China);Prediction of smoothed monthly mean sunspot number based on chaos theory[J];Acta Physica Sinica;2012-16
7 Chen Hong Wu Ling ( Electronic Engineer College, Heilongjiang University, Harbin 150080, China );Design and implementation of an arbitrary poincare plane section circuit in three-dimensional space[J];Acta Physica Sinica;2013-02
8 Zhang Wen-Chao Tan Si-Chao Gao Pu-Zhen ( Harbin Engineering University, National Defense Key Subject Laboratory for Nuclear Safety and Simulation Technology, Harbin 150001, China );Chaotic forecasting of natural circulation flow instabilities under rolling motion based on lyapunov exponents[J];Acta Physica Sinica;2013-06
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 YANG Ming;YANG Xiang-meng;College of Electric and Information Engineering,Changsha University of Science and Technology;Hunan Province Agricultural Forestry Design and Research Institute;;Cause analysis and optimization research of ice accretion on transmission line[J];Electric Drive Automation;2013-06
2 FENG Lin-yao;YUAN Lin-wang;LUO Wen;LI Run-chao;YU Zhao-yuan;Key Laboratory of VGE,Ministry of Education,Nanjing Normal University;Jiangsu Provincial Key Laboratory for NSLSCS,Nanjing Normal University;;Geometric Algebra-Based Algorithm for Solving Nodes Constrained Shortest Path[J];Acta Electronica Sinica;2014-05
3 Li Lingling;Ma Dongjuan;Li Zhigang;Province-Ministry Joint Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability Hebei University of Technology;;Chaotic Predication of Dynamic Contact Resistance Times Series on Contacts[J];Transactions of China Electrotechnical Society;2014-09
4 Lin Feng;Jiao Qun;Zhu Jiang;Liu Jinsuo;Zhao Hua;State Grid Electric Power Research Institute;;Research on unified agent technology in transmission line condition monitoring front end[J];Application of Electronic Technique;2014-08
5 ZHANG Wen-sheng1,CUI Zhi-wei1,2(1.School of Transportation,Shijiazhuang Tiedao University,Shijiazhuang 050043,Hebei,China; 2.Jiangsu Transportation Science Research Institute Co.,Ltd.,Nanjing 210017,Jiangsu,China);Settlement prediction model of super large bridge for passenger dedicated railway[J];Journal of Traffic and Transportation Engineering;2011-06
6 WU Yuechun 1 , WANG Tiejun 21.School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China 2.School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, China;Prediction for chaotic time series of BP neural network based on differential evolution[J];Computer Engineering and Applications;2013-08
7 GU Chenhui;WANG Lunwen;309 Research Division of Electronic Engineering Institute;Science and Technology on Communication Information Security Control Laboratory;;Individual frequency-hopping radio identification method based on transient characteristics of frequency domain[J];Computer Engineering and Applications;2013-22
8 ;Application for Combination Prediction Method in APU Condition Monitoring[J];Aviation Maintenance & Engineering;2013-06
9 WU Kai-jun;WANG Tie-jun;School of Electronic and Information Engineering,Lanzhou Jiaotong University;School of Mathematics and Computer Science,Northwest University for Nationalities;;Prediction of Chaotic Time Series Based on RBF Neural Network Optimization[J];Computer Engineering;2013-10
10 YANG Hu;WU Bei-ping;CHEN Mei-hua;LI Qian-yun;Hai Nan Investigation Institute of Hydrogeology and Engineering Geology;Faculty of Information Engineering,China University of Geosciences;Hunan Non-ferrous Institute of Surveying and Mapping;Chongqing208 geological teams;;Wavelet Analysis and Support Vector Machine Coupling Model Based on Particle Swarm Optimization for the Displacement Prediction of Landslide[J];Safety and Environmental Engineering;2014-04
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Tao1,LI Yibo1* ,WANG Weikui1,DU Gang1,AI Minlian2,YANG Xiaoming2,LIU Hailong2 1. State Key Laboratory of Precision Measurement Technology and Instrument,Tianjin University,Tianjin 300072,China; 2. China National Petroleum Corporation Qinhuangdao Company,Qinhuangdao Hebei 066200, China;Application and Research of Acoustic Emission in Tank Bottom Corrosion Detection[J];Chinese Journal of Sensors and Actuators;2010-07
2 Wang Jinghong1,2 Liu Jiaomin1,2(1.Hebei Normal University Shijiazhuang 050016 China 2.Hebei University of Technology Tianjin 300130 China);Switching Arc Image Processing Based on Binocular Stereo Vision[J];Transactions of China Electrotechnical Society;2011-01
3 ZHANG Sijian,LIN Zhiyun,YAN Gangfeng (Zhejiang University,Hangzhou 310027,China);Icing Thickness Measuring Method with a Capacitance Sensor for Overhead Power Transmission Lines[J];Automation of Electric Power Systems;2011-17
4 ZHANG Jiao1,HUI Meng2(1.School of Electronic and Control,Chang An University,Xi'an 710061,China; 2.School of Electrical Engineering,Xi'an JiaoTong University,Xi'an 710049,China);Application of bifurcation theory and continuation methods to ferroresonance study[J];Journal of Circuits and Systems;2011-02
5 FENG Ling1,HUANG Xinbo1,2,ZHU Yongcan1(1.Xi'an Polytechnic University,Xi'an 710048,China; 2.South China University of Technology,Guangzhou 510640,China);Transmission line icing thickness measuring based on image processing[J];Electric Power Automation Equipment;2011-10
6 MA Yong, GU Ming-liang (Department of Physics, Xuzhou Normal University, Xuzhou Jiangsu 221116, China);Pitch Detection Method Based on Poincare Sections for Speech Signals[J];Audio Engineering;2006-08
7 ZHANG Bu-han, LIU Xiao-hua, WAN Jian-ping, LIU Pei, CHENG Shi-jie (College of Electrical and Electronics Engineering, Huazhong University of Science and Technology, Wuhan 430074, Hubei Province, China; Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, Hubei Province, China);LOAD FORECASTING BASED ON CHAOTIC TIME SERIES AND ANALYSIS OF ITS KEY FACTORS[J];Power System Technology;2004-13
8 LIN Lan,YAN Chun-gang,XIN Xiao-gang,JIANG Chang-jun (Department of Computer Science and Technology,Tongji University,Shanghai 201804,China);Optimal Path Algorithm in Varying-Weight Networks Based on Stable Branch[J];Acta Electronica Sinica;2006-07
9 MA Jun,LI Xiao-dong,MENG Ying (Department of Computer Science,Xi′an University of the Finance and Economics,Xi′an,Shaanxi 710065,China);Research of Urban Traffic Flow Forecasting Based on Neural Network[J];Acta Electronica Sinica;2009-05
10 PAN Chang ZHANG Jian-min (PLA Unit 92941,Huludao,Liaoning Province 125001);Multi-station Data Fusion Algorithms Based on Poincare Mapping[J];Journal of Spacecraft TT&C Technology;2007-02
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved