• Title/Summary/Keyword: Chaos analysis

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

  • Shon, Youngwoo;Bae, Youngchul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.5 no.1
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    • pp.17-22
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    • 2010
  • Generally, there are Chua's Circuit, Lorenz Circuit and Duffing circuit in the chaos circuit. Among these chaos circuits, Chua's circuit is well known to make the electronic parts easily. Chua's circuit is the constitute of the linearelements. These are constitute of Resistor component(R), inductor component(L), capacitor(C), and nonlinear element which is constitute of nonlinear resistor. However, L element have a difficult problem to implement real hardware by using commercial parts. Due to this, it has a saturation characteristic. In this paper, we analyzed the simplified Chua's circuit which is replace L to C by PSPICE program. Because L element has a difficult problem to make a real hardware, L has a saturation characteristic and we also confirm this analysis as the result.

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

  • Chang, Sung-Hwan;Cho, Young-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.12
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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).

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

  • Chang, Kyung-Chun;Kim, Hyun-Seok
    • The Korean Journal of Financial Management
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    • v.21 no.1
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    • pp.149-181
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    • 2004
  • In this study we perform empirical tests using KOSPI return to investigate the existence of nonlinear characteristics in the generating process of stock returns. There are three categories in empirical tests; the test of nonlinear dependence, nonlinear stochastic process and nonlinear deterministic chaos. According to the analysis of nonlinearity, stock returns are not normally distributed but leptokurtic, and appear to have nonlinear dependence. And it's decided that the nonlinear structure of stock returns can not be completely explained using nonlinear stochastic models of ARCH-type. Nonlinear deterministic chaos system is the feedback system, which the past incidents influence the present, and it is the fractal structure with self-similarity and has the sensitive dependence on initial conditions. To summarize the results of chaos analysis for KOSPI return, it is the persistent time series, which is not IID and has long memory, takes biased random walk, and is estimated to be fractal distribution. Also correlation dimension, as the approximation of fractal dimension, converged stably within 3 and 4, and maximum Lyapunov exponent has positive value. This suggests that chaotic attractor and the sensitive dependence on initial conditions exist in stock returns. These results fit into the characteristics of chaos system. Therefore it's decided that the generating process of stock returns has nonlinear deterministic structure and follow chaotic process.

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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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    • v.9 no.5
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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.

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

  • Kim, Jung-Gyun;Park, Young-Bae;Park, Young-Jae;Kim, Min-Yong
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.11 no.2
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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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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) (카오스이론을 이용한 GIS 내부 절연결함 판별)

  • Lim, Yun-Seok;Lee, Dong-Il;Koo, Ja-Yoon;Kim, Jeong-Tae;Bang, Hang-Kwon
    • Proceedings of the KIEE Conference
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    • 2005.07c
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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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An Experiment Study on the Chaos Phenomenon for a Rectangular Cantilever Beam (직사각형 외팔보의 혼돈현상에 대한 실험)

  • Kim, Myoung-Gu;Pak, Chul-Hui;Cho, Chong-Du;Piao, Chang-Hao
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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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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Numerical Analysis of the Spatially-Periodic Flow in Single-Screw Extruders via the Chaos Screw (단축압축기의 카오스 스크류에서의 공간 주기 유동에 대한 수치해석)

  • 권태헌
    • The Korean Journal of Rheology
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    • v.8 no.1
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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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A Study on Architectural Form Creation based on the Application of Fractal Geometry (프랙탈 기하학을 적용한 건축 형태생성에 관한 연구)

  • Kang, Hoon
    • Journal of The Korean Digital Architecture Interior Association
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    • v.9 no.3
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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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The Acceleration Aging and Reliability Estimation of Polymer Insulator Using Chaos/Fractal Mathmatics (카오스/프랙탈 수학을 이용한 폴리머 애자의 가속열화 및 신뢰성 평가)

  • Lim, Jang-Seob;Noh, Sung-Ho;Kim, Ji-Sun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2010.06a
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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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