• Title/Summary/Keyword: chaotic series

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Nonlinear Dynamic Charateristics of Constrained Cantilever Tube with Attached Mass (부가질량을 갖는 구속 외팔송수관의 비선형 동특성)

  • 정구충;임재훈;최연선
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.7
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    • pp.561-568
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    • 2004
  • The nonlinear dynamic characteristic of a straight tube conveying fluid with constraints and an attached mass on the tube is examined in this study An experimental apparatus with an elastomer tube conveying water which has an attached mass and constraints is made and comparisons are made between the theoretical results from the non-linear equation of motion of piping system and the experimental results. The comparisons show that the tube is destabilized as the magnitude of the attached mass increases, and stabilized as the position of the attached mass closes to the fixed end. In case of a small end-mass, the system shows complicated and different types of solutions. For a constant end-mass. the system undergoes a series of bifurcations after the first Hopf bifurcation, as the flow velocity increases. which causes chaotic motions of the tube eventually.

A Study on the Anlaysis of Nonlinear Characteristics of ECG. (심전도의 비선형적 특성 분석에 관한 연구)

  • 이종민;박광석
    • Journal of Biomedical Engineering Research
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    • v.15 no.2
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    • pp.151-158
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    • 1994
  • It has been shown that many of physiological systems have nonlinear dynamics. The evidences of these nonlinear behaviors make us analyze physiological systems in the new viewpoint. And, some of these nonlinear dynamics can be represented by chaotic behaviors, which is studied by several methods-correlation dimension, return map, power spectrum analysis, etc. This study is on the analysis of nonlinear characteristics of ECG. After data have been acquired from 20 children (10-13 years old), and 30 students (20-24 years old). We have calculated parameters HR, PR, VAT, TD, TRD, TPD from data, and estimated correlation dimension, return map, power spectrum, time series. Results show the nonlinear and chaotic characteristics of ECG.

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Intelligent Digital Redesign for Uncertain Nonlinear Systems Using Power Series (Powrer Series를 이용한 불확실성을 갖는 비선형 시스템의 지능형 디지털 재설계)

  • Sung Hwa Chang;Park Jin Bae;Go Sung Hyun;Joo Young Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.7
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    • pp.881-886
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    • 2005
  • This paper presents intelligent digital redesign method of global approach for hybrid state space fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(TS) fuzzy model is used to represent tile complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated linear operators to be matched. Also, by using the power series, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete-time system have proper reason. Sufficiently conditions for the global state-matching of tile digitally controlled system are formulated in terms of linear matrix inequalities (LMIs). Finally, a TS fuzzy model for the chaotic Lorentz system is used as an example to guarantee the stability and effectiveness of the proposed method.

Chaotic Disaggregation of Daily Rainfall Time Series (카오스를 이용한 일 강우자료의 시간적 분해)

  • Kyoung, Min-Soo;Sivakumar, Bellie;Kim, Hung-Soo;Kim, Byung-Sik
    • Journal of Korea Water Resources Association
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    • v.41 no.9
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    • pp.959-967
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    • 2008
  • Disaggregation techniques are widely used to transform observed daily rainfall values into hourly ones, which serve as important inputs for flood forecasting purposes. However, an important limitation with most of the existing disaggregation techniques is that they treat the rainfall process as a realization of a stochastic process, thus raising questions on the lack of connection between the structure of the models on one hand and the underlying physics of the rainfall process on the other. The present study introduces a nonlinear deterministic (and specifically chaotic) framework to study the dynamic characteristics of rainfall distributions across different temporal scales (i.e. weights between scales), and thus the possibility of rainfall disaggregation. Rainfall data from the Seoul station (recorded by the Korea Meteorological Administration) are considered for the present investigation, and weights between only successively doubled resolutions (i.e., 24-hr to 12-hr, 12-hr to 6-hr, 6-hr to 3-hr) are analyzed. The correlation dimension method is employed to investigate the presence of chaotic behavior in the time series of weights, and a local approximation technique is employed for rainfall disaggregation. The results indicate the presence of chaotic behavior in the dynamics of weights between the successively doubled scales studied. The modeled (disaggregated) rainfall values are found to be in good agreement with the observed ones in their overall matching (e.g. correlation coefficient and low mean square error). While the general trend (rainfall amount and time of occurrence) is clearly captured, an underestimation of the maximum values are found.

Prediction of Sunspot Number Time Series using the Parallel-Structure Fuzzy Systems (병렬구조 퍼지시스템을 이용한 태양흑점 시계열 데이터의 예측)

  • Kim Min-Soo;Chung Chan-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.6
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    • pp.390-395
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    • 2005
  • Sunspots are dark areas that grow and decay on the lowest level of the sun that is visible from the Earth. Shot-term predictions of solar activity are essential to help plan missions and to design satellites that will survive for their useful lifetimes. This paper presents a parallel-structure fuzzy system(PSFS) for prediction of sunspot number time series. The PSFS consists of a multiple number of component fuzzy systems connected in parallel. Each component fuzzy system in the PSFS predicts future data independently based on its past time series data with different embedding dimension and time delay. An embedding dimension determines the number of inputs of each component fuzzy system and a time delay decides the interval of inputs of the time series. According to the embedding dimension and the time delay, the component fuzzy system takes various input-output pairs. The PSFS determines the final predicted value as an average of all the outputs of the component fuzzy systems in order to reduce error accumulation effect.

A Study of Family Adaptability and Cohesion Evaluation Scale(FACES) (가족의 응집 및 적응 평가 척도에 관한연구)

  • 김수연
    • Journal of the Korean Home Economics Association
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    • v.35 no.1
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    • pp.59-74
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    • 1997
  • FACES II & III do not capture the high extremes of the dimension and are linear rather than curvilinear measure. FACES IV is the latest revision of FACES series and can capture two extreme dimension of Circumplex Model. The purpose of this study is to examine reliability and validity of reconstructed FACES using by FACES II, III, IV. Factor analysis showed that Cohesion and Adaptability consisted 3 factors (disengaged, connected, emmeshed/rigid, flexble, chaotic) Extremes on each dimension conceptually were opposite and they were uncorrelated with each other. FACES effectively predicted family function. Reliability coefficients of subscales ranged from 61~85 Reconstructed FACES had good internal consistency and construct and criterion related validity.

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Chaos Simulator as a Developing Tool for Application of Chaos Engineering

  • Kuwata, Kaihei;Kajitani, Yuji;Katayama, Ryu;Nishida, Yukiteru
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.853-856
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    • 1993
  • In this paper, we describe a chaos simulator as a developing tool for applications of chaos engineering. This simulator is composed of three modules, such as generation module of chaotic signals by deterministic rules, determination module whether observed time series is chaos or not, and nonlinear system identification module by self generating Neuro Fuzzy Model.

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Nonlinear Time Series Analysis of Biological Chaos (생체 카오스의 비선형 시계열 데이터 분석)

  • 이병채;이명호
    • Journal of Biomedical Engineering Research
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    • v.15 no.3
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    • pp.347-354
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    • 1994
  • This paper describes a diagnostic protocol of nonlinear dynamic characteristics of biological system using chaos theory. An integrated chaos analysis system for the diagnosis of biological system was designed. We suggest a procedure of attractor reconstruction for reliable qualitative and quantitative analysis. The effect of autonomic nervous system activity on heart rate variability with power spectral analysis and its characteristics of chaotic attractors are investigated. The results show the applicability to evaluate the mental and physical conditions using nonlinear characteristics of biological signal.

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Time Series Forecast of Maximum Electrical Power using Lyapunov Exponent (Lyapunov 지수를 이용한 전력 수요 시계열 예측)

  • Park, Jae-Hyeon;Kim, Young-Il;Choo, Yeon-Gyu
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.8
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    • pp.1647-1652
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    • 2009
  • Generally the neural network and the fuzzy compensative algorithm are applied to forecast the time series for power demand with a characteristic of non-linear dynamic system, but it has a few prediction errors relatively. It also makes long term forecast difficult for sensitivity on the initial condition. On this paper, we evaluate the chaotic characteristic of electrical power demand with analysis methods of qualitative and quantitative and perform a forecast simulation of electrical power demand in regular sequence, attractor reconstruction, time series forecast for multi dimension using Lyapunov exponent quantitatively. We compare simulated results with the previous method and verify that the purpose one being more practice and effective than it.

Comparison Study of Time Series Clustering Methods (시계열자료 눈집방법의 비교연구)

  • Hong, Han-Woom;Park, Min-Jeong;Cho, Sin-Sup
    • The Korean Journal of Applied Statistics
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    • v.22 no.6
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    • pp.1203-1214
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    • 2009
  • In this paper we introduce the time series clustering methods in the time and frequency domains and discuss the merits or demerits of each method. We analyze 15 daily stock prices of KOSPI 200, and the nonparametric method using the wavelet shows the best clustering results. For the clustering of nonstationary time series using the spectral density, the EMD method remove the trend more effectively than the differencing.