• 제목/요약/키워드: Chaos analysis

검색결과 248건 처리시간 0.021초

L성분이 없는 간략화 Chua 회로 구현에 관한 연구 (A Study on implementation of Simplify Chua's Circuit without L component)

  • 손영우;배영철
    • 한국전자통신학회논문지
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    • 제5권1호
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    • pp.17-22
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    • 2010
  • 일반적으로 카오스 회로에는 Chua's 회로, Lorenz 회로, Duffing 회로 등이 있다. 이들 카오스 회로 중에서 Chua's 회로가 전자부품을 이용하여 가장 쉽게 구성할 수 있는 회로로 알려져 있다. Chua's 회로는 일반적으로 저항성분인 R, 인턱터 성분인 L, 캐패시터 성분인 C로 구성하는 선형요소와 비선형 저항으로 구성하는 비선형 요소로 구성된다. 그러나 L 요소는 포화특성으로 인하여 시중에서 구입한 부품으로는 실제 하드웨어를 구현하기 어려운 문제점이 있다. 본 연구에서는 Chua 회로의 선형 요소인 R,L,C 성분의 요소 중에서 포화 특성을 자지고 있어 상용화된 제품으로는 제작 구현이 어려운 L 성분을 C 성분으로 대체하는 간략화한 Chua's 회로 제작 기법을 PSpice로 해석하고, 그 결과를 확인한다.

미소블록에 의한 교차 회전유동과 미소유로에 의한 박층유동을 이용한 정적 혼돈 미소유체 혼합기에 관한 연구 (Static Chaos Microfluid Mixers Using Alternating Whirls and Laminations)

  • 장성환;조영호
    • 대한기계학회논문집B
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    • 제28권12호
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    • pp.1549-1556
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    • 2004
  • We have deigned, fabricated and compared four different types of static chaos microfluid mixers, including the mixers using straight channel flow, microblock-induced alternating whirl flow, microchannel-induced lamination flow, and combined alternating whirl-lamination flow. Among them, the alternating whirl-lamination (AWL-type) mixer, composed of 3-D rotationally arranged microblocks and dividing microchannels fabricated by conventional planar lithography process, is effective to reduce the mixing length over wide flow rate ranges. We characterize the performance of the fabricated mixers, through the flow visualization technique using phenolphthalein solution. We verify that the AWL-type microfluid mixer shows the shortest fluid mixing length of 2.8mm∼5.8mm for the flow rate range of Re=0.26∼26 with the pressure drop lower than 5kPa. Compared to the previous mixers, requiring the mixing lengths of 7∼17mm, the AWL-type microfluid mixer results in the 60% reduction of the mixing lengths. Due to the reduced mixing lengths within reasonable pressure drop ranges, the present micromixers have potentials for use in the miniaturized Micro-Total-Analysis-Systems($\mu$TAS).

주식 수익률의 비선형 결정론적 특성에 관한 연구 (A Study on the Nonlinear Deterministic Characteristics of Stock Returns)

  • 장경천;김현석
    • 재무관리연구
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    • 제21권1호
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    • pp.149-181
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    • 2004
  • 본 연구는 주식 수익률의 생성과정에 비선형적 특성이 존재하는지를 검정하기 위해서 1980년 1월부터 2002년 5월까지 종합주가지수 일별 수익률과 주별 수익률을 이용하여 실증분석을 실시하였다. 실증분석의 내용은 크게 비선형 종속성에 대한 검정과 비선형 확률적 특성검정 그리고 비선형 결정론적인 카오스검정으로 구분할 수 있다. 비선형적 특성에 대한 분석의 결과는 주식 수익률은 leptokurtic한 비정규분포를 따르며, 수익률의 생성과정이 IID하지 않고 비선형 종속성이 존재하는 것으로 나타났다. 그리고 ARCH류의 비선형 확률모형으로는 주식 수익률의 비선형적 구조를 완전히 설명하지는 못하는 것으로 판단된다. 이는 주식 수익률의 생성과정을 설명하기 위해서 ARCH류의 모형과는 다른 형태의 비선형모형의 도입에 대해 고려할 필요가 있음을 시사하는 것이다. 종합주가지수 수익률에 대한 카오스검정의 결과를 정리하면, 우선 장기기억을 가지는 지속성이 강한 시계열로 편의된 랜덤워크를 따르며, 프랙탈분포하는 것으로 나타났다. 그리고 프랙탈 차원의 근사값인 상관차원(D)이 3과 4사이에 안정적으로 수렴하며, 최대 리아푸노프지수($L_1$)가 양(+)의 값을 가지므로 카오스적 끌개와 초기조건에 민감한 의존성이 존재하는 것으로 나타났다. 이러한 결과들은 카오스시스템의 특성과 부합하는 것으로 주식 수익률의 생성과정이 비선형 결정론적인 카오스과정을 따르는 것으로 판단할 수 있다.

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Investigation on Oil-paper Degradation Subjected to Partial Discharge Using Chaos Theory

  • Gao, Jun;Wang, Youyuan;Liao, Ruijin;Wang, Ke;Yuan, Lei;Zhang, Yiyi
    • Journal of Electrical Engineering and Technology
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    • 제9권5호
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    • pp.1686-1693
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    • 2014
  • In this paper, oil-paper samples composed of transformer windings were used to investigate the insulation degradation process subjected to partial discharge (PD), with artificial defects inside to simulate the PD induced insulation degradation. To determine appropriate test voltages, the breakdown time obtained through a group of accelerated electrical degradation tests under high voltages was firstly fitted by two-parameter Weibull model to acquire the average breakdown time, which was then applied to establish the inverse power law life model to choose advisable test voltages. During the electrical degradation process, PD signals were synchronously detected by an ultra-high frequency (UHF) sensor from inception to breakdown. For PD analysis, the whole degradation process was divided into ten stages, and chaos theory was introduced to analyze the variation of three chaotic parameters with the development of electrical degradation, namely the largest Lyapunov exponent, correlation dimension and Komogorov entropy of PD amplitude time series. It is shown that deterministic chaos of PD is confirmed during the oil-paper degradation process, and the obtained results provide a new effective tool for the diagnosis of degradation of oil-paper insulation subjected to PD.

뇌파의 상관차원과 HRV의 상관분석 (Nonlinear Correlation Dimension Analysis of EEG and HRV)

  • 김정균;박영배;박영재;김민용
    • 대한한의진단학회지
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    • 제11권2호
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    • pp.84-95
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    • 2007
  • Background and Purpose: We have studied the trends of EEG signals in the voluntary breathing condition by applying the fractal analysis. According to chaos theory, irregularity of EEG signals can result from low dimensional deterministic chaos. A principal parameter to quantify the degree of Chaotic nonlinear dynamics is correlation dimension. The aim of this study was to analyze correlation between the correlation dimension of EEG and HRV(heart rate variability). We have studied the trends of EEG signals in the voluntary breathing condition by applying the fractal analysis. Methods: EEG raw data were measured by moving windows during 15 minutes. Then, the correlation dimension(D2) was calculated by each 40-seconds-segment in 15 minutes data, totally 36 segments. 8 channels EEG study on the Fp, F, T, P was carried out in 30 subjects. Results and Conclusion: Correlation analysis of HRV was calculated with deterministic non-linear data and stochastic non-linear data. 1. Ch1(Fp1), Ch4(F3), Ch4(F4) is positive correlated with In LF. 2. Ch1(Fp1), Ch3(F3) is positive correlated with In TF.

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카오스이론을 이용한 GIS 내부 절연결함 판별 (Discrimination of insulation defects in a Gas Insulated Switchgear (GIS) by use of a neural network based on a Chaos Analysis of Partial Discharge(CAPD))

  • 임윤석;이동일;구자윤;김정태;방항권
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 C
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    • pp.2223-2225
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    • 2005
  • In this work, experimental investigation has been mainly done. For this purpose, UHF sensor has been designed and fabricated to detect the partial discharges produced from the 10 artificial defects introduced into the real scale 70kV GIS mock-up under the high voltage at the well shielded room. And also, in order to verify the applicability of the proposed method at the site, the proposed CAPD (chaos analysis of partial discharge) is combined with spectral analysis method in order to identify the nature of the above 10 defects. The PD pattern recognition of each defect has been fulfilled by applying self developed artificial neural network soft ware. The result shows that the recognition rate is reached to be 80% by newly proposed method while the traditional PRPD analysis method leads us to obtain 41%. In consequence, it can be pointed out that the proposed method seems likely to be applicable to the real GIS at the site.

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직사각형 외팔보의 혼돈현상에 대한 실험 (An Experiment Study on the Chaos Phenomenon for a Rectangular Cantilever Beam)

  • 김명구;박철희;조종두;박창호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.567-571
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    • 2005
  • The slender rectangular cantilever beam has vef interesting to study dynamic behaviors of the harmonic base excitation of a cantilever beam shows many nonlinear dynamics due to unstability , energy transfer and mode coupling. Nonlinear phenomenon shows superharmonic, subharmonic, super subharmonic and chaotic motions of the cantilever beam. Experimental observation and verification of these phenomenon carry much importance for the theoretical study as well as in it self. In the experimental cantilever beam, the chaotic motions of the beam appear as a pink noise signal in FFT analysis and as a torus structure in the oscilloscope analyzed to eventually give information of chaotic motions of the cantilever beam.

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단축압축기의 카오스 스크류에서의 공간 주기 유동에 대한 수치해석 (Numerical Analysis of the Spatially-Periodic Flow in Single-Screw Extruders via the Chaos Screw)

  • 권태헌
    • 유변학
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    • 제8권1호
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    • pp.39-48
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    • 1996
  • 최근에 본 연구자에 의하여 기존 스크류의 간단한 수정을 통해 단축 압출공정에서 의 혼합성능을 증진시키는 카오스 스크류를 개발하였고, 단축압출기에서의 기존스크류와 비 교하여 카오스 스크류를 사용하였을 경우 혼합성능이 월등하게 증진됨을 실험적으로 얻은 혼합형태로부터 알수 있었다. 본논문에서는 카오스 스크류에서 일어나는 카오스 유동을 집 중적으로 수치모사 하였으며 그결과를 중요한 무차원 변수에 대하여 입자 궤적,포인카레 단 면 본 논문에서 제안한 쉘사상법을 통하여 나타내었다. 쉘사사아법은 혼합형태와 불변체군 을 얻기에 매우 효과적인 방법이며 수치해석으로 얻은 불변체군은 실험결과와 잘 일치하였다.

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프랙탈 기하학을 적용한 건축 형태생성에 관한 연구 (A Study on Architectural Form Creation based on the Application of Fractal Geometry)

  • 강훈
    • 한국디지털건축인테리어학회논문집
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    • 제9권3호
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    • pp.15-23
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    • 2009
  • Chaos theory, qualitative study of unstable aperiodic behavior in deterministic nonlinear dynamical systems, is dominant paradigm in the twenty first century. Fractal geometry, as an expressed form of chaos, now influences many areas such as architecture, art, music, economics, literature, etc. The purpose of this study is to analyze fractal geometry and fractal formative elements in architectural design. There are scaling, superimposition, distortion, deformation and repetition in the fractal form generator that can be applied to design concept and process in architecture. This study shows fractal geometry can be the architectural form creation method. Fractal geometry similar to nature's patterned order can be provided endless possibilities for design analysis and methodology in architecture. Therefore the further study of fractal geometry should progress synthetically through the basis of the study.

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카오스/프랙탈 수학을 이용한 폴리머 애자의 가속열화 및 신뢰성 평가 (The Acceleration Aging and Reliability Estimation of Polymer Insulator Using Chaos/Fractal Mathmatics)

  • 임장섭;노성호;김지선
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2010년도 하계학술대회 논문집
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    • pp.94-94
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    • 2010
  • The result was estimated on the fractal characteristics as possibilities of identification of manufacture state for long period stabilities. At the second, the dangerous area was easily found to the recurrent phenomena of FD output. However, such area is very difficult to analysis of mechanism and to predict the lifetime in present state, it is possible to discriminate by means of data accumulation.

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