• Title/Summary/Keyword: Chaotic Attractors

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A Study on the Development of Integrated Chaos Analysis System for EEG (뇌파신호의 카오스 특징 추출을 위한 통합 시스템의 개발)

  • Woo, Yong-Ho;Kim, Hyun-Sool;Kim, Taek-Soo;Choi, Yoon-Ho;Park, Sang-Hui
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.962-964
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    • 1995
  • In this paper, an integrated chaos analysis system for EEG (ICASE) is designed for the analysis of brain functions based on the chaos theory. Nonlinear dynamic characteristics of EEG such as 3-D attractor, Poincare section, correlation dimension, Lyapunov exponents and power spectrum are extracted by this system. The results show that chaotic attractors which indicate the presence of deterministic, dynamics of complex nature could be identified from a routine EEG recording for normal and pathological activity. This proves that the chaotic analysis of EEG may be an appropriate tool in the classification of brain activity and thus a possible diagnostic tool.

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Chaotic Dynamics in EEG Signal Responding to Auditory Stimulus with Various Sound-Cutting Frequencies. (단속 주파수를 변화시킨 청각자극에 반응하는 뇌전위신호의 카오스 분석)

  • Choe, Jeong-Mi;Bae, Byeong-Hun;Kim, Su-Yong
    • Journal of Biomedical Engineering Research
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    • v.15 no.3
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    • pp.237-244
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    • 1994
  • We investigated the qualitive and quantitative properties in EEG signal which responds to auditory stimulus with increaing the sound-cutting frequency from 2 Hz to 20 Hz by 2 Hz step units, by chaotic dynamics. To bigin with, general chaotic properties such as fractal mechanism, 1 If frequency spectrum and positive Lyapunov exponent are discussed in EEG signal. For evoked potential with given auditory stimulus, the route to chaos by bifurcation diagram and the changes in geometrical property of Poincare sections of 2-dimensional psedophase space is observed. For that containing spontaneous potential, seen as the random background signal, the chaotic attractors in 3-dimensional phase space are found containing the same infomation as the above mentioned evoked potential. Finally the chinges of Lyapunov exponent by various sound-cutting frequencies of stimulus and by the various spatial positions (occipital region) in a brain surface to be measured, are illustrated meaningfully.

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A Study on the Nonlinear Rolling Motion of Ship Using Basins of Attraction and Attractors (흡인영역과 끌개의 해석을 통한 선박의 비선형 횡동요운동에 관한 연구)

  • H.S. Lee;S.H. Kwon
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.3
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    • pp.71-82
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    • 1999
  • Irregular motions of nonlinear dynamic system are the result of an intrinsic characteristics that the system have, and sometimes occur unpredictable large motion. For a ship in a regular seaway, the capsizing occur because of this unexpectable motion. So, from the safety's point of view, nonlinear ship motions should be treated carefully. In this study, stable and unstable regions are investigated firstly under the variation of a control external force. Secondly, we consider the attractors to know how ship motions of the stable region that does not undergo capsizing change. Thirdly, bifurcation diagram is considered to study the range in detail where nonlinear chaotic motions are occurred.

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The Hardware Implementation of Chua's Oscillator (Chua 발진기 회로의 하드웨어 구현)

  • 배영철;강명구
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.5 no.3
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    • pp.553-561
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    • 2001
  • Chua's oscillator is a simple electronic circuit which exhibits a variety of bifurcation phenomena and attractors, It consist of two capacitors, an inductor, two linear resistors, and a nonlinear resistor. When the circuit exhibits chaotic signals, the nonlinear resistor of Chua's oscillator may have six different voltage - current characteristics. In this paper, the design methodology for practical implementation of the nonlinear resistors which have all these characteristics is described. In addition, the effectivness of result is shown by not only the computer simulation but also the experimental test.

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Chaos and Correlation Dimension

  • Kim, Hung-Soo
    • Journal of Korea Water Resources Association
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    • v.33 no.S1
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    • pp.37-47
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    • 2000
  • The method of delays is widely used for reconstruction chaotic attractors from experimental observations. Many studies have used a fixed delay time ${\tau}_d$ as the embedding dimension m is increased, but this is not necessarily the best choice for obtaining good convergence of the correlation dimension. Recently, some researchers have suggested that it is better to fix the delay time window ${\tau}_w$ instead. Unfortunately, ${\tau}_w$ cannot be estimated using either the autocorrelation function or the mutual information, and no standard procedure for estimating ${\tau}_w$ has yet emerged. However, a new technique, called the C-C method, can be used to estimate either ${\tau}_d\;or\;{\tau}_w$. Using this method, we show that, for small data sets, fixing ${\tau}_w$, rather than ${\tau}_d$, does indeed lead to a more rapid convergence of the correlation dimension as the embedding dimension m in increased.

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A Study On Hardware Implementation of Canonical Chua's Circuit (Canonical Chua 회로의 Hardware 제작에 관한 연구)

  • Ko, Jae-Ho;Bang, Sung-Yun;Bae, Young-Chul;Yim, Hwa-Yeoung
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.624-626
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    • 1997
  • Canonical Chua's circuit is a simple electronic circuit which exhibits a variety of bifurcation phenomena and attractors. It consists of two capacitors, an inductor, two linear resistors, and a nonlinear resistor. When the circuit exhibits chaotic signals, the nonlinear resistor of canonical Chua's circuit may have three different voltage - current characteristics. In this paper, the design methodology for practical implementation of the nonlinear resistors which have all these characteristics is described. In addition, the effectiveness of result is shown by not only the MATLAB simulation but also the PSPICE simulation.

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Chaos and Correlation Dimension

  • Kim, Hung-Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2000.05a
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    • pp.37-47
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    • 2000
  • The method of delays is widely used fur reconstructing chaotic attractors from experimental observations. Many studies have used a fixed delay time ${\tau}_d$ as the embedding dimension m is increased, but this is not necessarily the best choice for obtaining good convergence of the correlation dimension. Recently, some researchers have suggested that it is better to fix the delay time window ${\tau}_w$ instead. Unfortunately, ${\tau}_w$ cannot be estimated using either the autocorrelation function or the mutual information, and no standard procedure for estimating ${\tau}_w$has yet emerged. However, a new technique, called the C-C method, can be used to estimate either ${\tau}_d{\;}or{\;}{\tau}_w$. Using this method, we show that, for small data sets, fixing ${\tau}_w$, rather than ${\tau}_d$, does indeed lead to a more rapid convergence of the correlation dimension as the embedding dimension m is increased.

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A Type-2 Fuzzy Logic Base Maturity Model of Green IT Richness (유형-2 퍼지 논리 기반 그린 IT 깊이 성숙도 모델)

  • Moon, Kyung-Il;Kim, Chul
    • Journal of The Korean Association of Information Education
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    • v.14 no.2
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    • pp.273-283
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    • 2010
  • Emergent process or behaviour can be seen in many places, from any multicellular biological organism to traffic patterns, cities or organizational phenomena in computer simulations. Similarly, the concept of 'Green IT' refers to the way complex systems and patterns arise inevitably among groups due to environmental concerns in real world. Green IT has good possibility to evolve as very chaotic system, in which the number of interactions between components increases geometrically with the number of components, thus potentially allowing for many new types of behaviour to emerge. However, when Green IT system regards as a complexity one, there exits some attractors to derive and control the system. In this context, this paper presents a new model based on type-2 fuzzy logic system to identify and assess the attractors of Green IT system which correspond to Reach-Richness matrix of Green IT.

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