• Title, Summary, Keyword: attractor

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Analysis of 90/150 MACA derived from 90/150 SACA (90/150 SACA로부터 유도된 90/150 MACA의 분석)

  • Cho, S.J.;Choi, U.S.;Kim, H.D.;Hwang, Y.H.;Kim, J.G.;Kim, B.S.
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • pp.264-267
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    • 2008
  • Many researchers have studied synthesis method of 90/150 group CA. However, there is a lack of researches for synthesis method of 90/150 nongroup CA. In this paper we report some interesting properties of 90/150 multiple-attractor CA in which all of the cycles are of unit length. 90/150 multiple-attractor CA is a class of nongroup CA. And we propose a construction of 90/150 single-attractor CA. Also we construct 90/150 multiple-attractor CA derived from 90/150 single-attractor CA.

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Defect Evaluation of Weld Zone in Rails Using Attractor and Distance Amplitude Characteristics Curve (레일 용접부의 결함 검출을 위한 어트랙터의 구성 및 해석에 관한 연구)

  • 윤인식;고준빈;박성두
    • Journal of Welding and Joining
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    • v.18 no.5
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    • pp.77-83
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    • 2000
  • This study proposes the analysis and evaluation method of time series ultrasonic signal using the attractor analysis. Features extracted from time series signal analyze quantitatively characteristics of weld defects. For this purpose, analysis objective in this study is fractal dimension and attractor quadrant feature. Trajectory changes in the attractor indicated a substantial difference in fractal characteristics resulting from distance shifts such as parts of head and flange even though the types of defects are identified. These difference in characteristics of weld defects enables the evaluation of unique characteristics of defects in the weld zone. In quantitative fractal feature extraction, feature values of 3.848 in the case of part of head(crack) and 4.102 in the case of part of web(side hole) and 3.711 in the case of part of flange(crack) were proposed on the basis of fractal dimensions. Proposed attractor analysis and DAC in this study can enhance the precision rate of ultrasonic evaluation for defect signals of rail weld zone such as side hole and crack.

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A Study on Optimal Attractor Reconstruction of Biological Chaos (생체 카오스의 최적 어트렉터 재구성에 관한 연구)

  • Jang, Jae-Ho;Lee, Byung-Chae;Lee, Myoung-Ho
    • Proceedings of the KOSOMBE Conference
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    • v.1994 no.12
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    • pp.142-146
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    • 1994
  • This paper proposes an fill-factor algorithm that determines embedding parameters which are needed in optimal attractor reconstruction. For reliability test, using this algorithm, we reconstructs the attractor of numerical chaotic data such as Duffing equation, Lorenz equation and Rossler equation whose embedding parameters are known. Also we reconstructs the attractor of experimental data and evaluates correlation dimension. Experimental data used in this paper are 38 ECG data of AHA(American Heart Association) ECG database. For numerical chaotic data, correlation dimension and Lyapunov exponent of reconstructed attractor are very close to those of attractor using original coordinate system.

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The Study on Ultra-Precision Cutting Characteristics Evaluation of Non-Ferrous Metals Using Attractor Quadrant Method (어트랙터 사분면법을 이용한 비철금속의 초정밀 절삭특성 평가에 관한 연구)

  • 고준빈;김건희;윤인식
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.6
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    • pp.20-26
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    • 2003
  • This study proposes the construction of attractor quadrant method for high-precision cutting characteristics evaluation of non-ferrous metals. Also this paper aims to find the optimal cutting conditions of diamond turning machine by measuring surface form and roughness to perform the cutting experiment of non-ferrous metals, which are aluminum, with diamond tool. As well, according to change cutting conditions such as feed rate, using diamond turning machine to Perform cutting Processing, by measuring cutting force and surface roughness and according to cutting conditions the aluminum about cutting properties. Trajectory changes in the attractor indicated a substantial difference in fractal characteristics and attractor quadrant characteristics. In quantitative quadrant feature extraction, 1,309 point in the case of A17075 (one quadrant) and 1,406 point (one quadrant) in the case of brass were proposed on the basis of attractor reconstruction. Proposed attractor quadrant method can be used for high-precision cutting characteristics evaluation of non-ferrous metals.

The relationship between the 0-tree and other trees in a linear nongroup cellular automata

  • Cho, Sung-Jin
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.5 no.1
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    • pp.1-10
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    • 2001
  • We investigate the relationship between the 0-tree and other trees in linear nongroup cellular automata. And we show that given a 0-basic path of 0-tree and a nonzero attractor ${\alpha}$ of a multiple attractor linear cellulara automata with two predecessor we construct an ${\alpha}$-tree of that multiple attractor linear cellular automata.

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DYNAMICS OF RELATIONS

  • Park, Jong Suh
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.1
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    • pp.75-85
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    • 2002
  • Let X be a compact metric space and let f be a continuous relation on X. Let U be an attractor block for f and let A bean attractor determined by U. Then there exists a continuous function ${\lambda}^{-1}:X{\rightarrow}[0,1]$ such that ${\lambda}^{-1}(0)=A$, ${\lambda}^{-1}(1)=X-B(A,U)$, and $M({\lambda},f)(x)$ < ${\lambda}(x)$ for all $x{\in}B(A,U)-A$.

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THE GLOBAL ATTRACTOR OF THE 2D G-NAVIER-STOKES EQUATIONS ON SOME UNBOUNDED DOMAINS

  • Kwean, Hyuk-Jin;Roh, Jai-Ok
    • Communications of the Korean Mathematical Society
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    • v.20 no.4
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    • pp.731-749
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    • 2005
  • In this paper, we study the two dimensional g-Navier­Stokes equations on some unbounded domain ${\Omega}\;{\subset}\;R^2$. We prove the existence of the global attractor for the two dimensional g-Navier­Stokes equations under suitable conditions. Also, we estimate the dimension of the global attractor. For this purpose, we exploit the concept of asymptotic compactness used by Rosa for the usual Navier-Stokes equations.

GLOBAL ATTRACTOR FOR SOME BEAM EQUATION WITH NONLINEAR SOURCE AND DAMPING TERMS

  • Lee, Mi Jin
    • East Asian mathematical journal
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    • v.32 no.3
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    • pp.377-385
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    • 2016
  • Global attractor is a basic concept to study the long-time behavior of solutions of the various equations. This paper is investigated with the existence of a global attractor for the beam equation $$u_{tt}+{\Delta}^2u-{\nabla}{\cdot}\{{\sigma}({\mid}{\nabla}u{\mid}^2){\nabla}u\}+f(u)+a(x)g(u_t)=h,$$ using multipliers technique and Nakao's Lemma.

A Speaker Recognition Based on Strange Attractor with Vector Average (벡터 평균값을 갖는 스트레인지 어트랙터 기반 화자인식)

  • Kim, Tae-Sik
    • Speech Sciences
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    • v.8 no.3
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    • pp.133-142
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    • 2001
  • In the area of speech processing, raw signals used to be presented in 2D format and different kinds of algorithms use the format to solve their problems. However, such kinds of presentation methods have limitations to extract characteristics from the signal, even though the algorithms are quiet good. The basic reason is that not much information can be detected from the 2D signal. Strange attractor in the field of chaos theory provides the 3D presentation method. In the area of the recognition problem, signal construction method is very important because good features can be detected from a good shape of attractors. This paper discusses a new presentation method that can be used to construct strange attractor in a different way. Normal strange attractor uses time-delay idea while the new method uses time-delay and vector average. This method provides us good information to be applied to speaker recognition problem.

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