• Title/Summary/Keyword: attractor

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INVERSE SHADOWING IN GEOMETRIC LORENZ FLOWS

  • Choi, Taeyoung;Lee, Manseob
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.577-585
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    • 2007
  • We introduce the inverse shadowing property of geometric Lorenz flows and prove that the geometric Lorenz flows do not have the inverse shadowing property.

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High Precision Numeric Character Recognition using Modified Henon Attractor (수정된 에농 어트랙터를 이용한 고정도 숫자 인식)

  • 손영우
    • Proceedings of the Korea Multimedia Society Conference
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    • 2002.11b
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    • pp.114-117
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    • 2002
  • 본 논문에서는 미세한 차이를 식별할 수 있는 Chaos 이론을 숫자 패턴 인식 분야에 응용한다. 먼저, 숫자 영상의 특징 정보들을 시계열 데이터로 변환한 후, 제안된 수정된 에농 시스템으로부터 숫자 어트랙터를 재구성하고, 어트랙터의 특성 분석을 위해 프랙탈 차원 특징을 나타내는 정보 차원값을 이용하여 숫자를 인식하는 새로운 알고리즘을 제안함으로써, 특수한 용도로 숫자를 전문적으로 빠르고 정확하게 인식하는 고정도 숫자 인식 시스템을 구현하였다.

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Recognition of High Impedance Fault Patterns according to the Chaotic Features (카오스 특징 추출에 의한 고저항 지락사고의 패턴인식)

  • 신승연;공성곤
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.10a
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    • pp.311-314
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    • 1997
  • This paper presents recognition of high impedance fault patterns based of chaotic features using the Radial Basis Function Network(RBFN). The chaos attractor is reconstructed from the fault current data for pattern recognition. The RBFN successfully classifies the three kinds of fault pattems and one normal pattem.

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Estimation of Speeker Recognition Parameter using Lyapunov Dimension (Lyapunov 차원을 이용한 화자식별 파라미터 추정)

  • Yoo, Byong-Wook;Kim, Chang-Seok
    • The Journal of the Acoustical Society of Korea
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    • v.16 no.4
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    • pp.42-48
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    • 1997
  • This paper has apparaised ability of speaker recognition and speech recognition using correlation dimension and Lyapunov dimension. In this method, speech was regarded the cahos that the random signal is appeared in determinisitic raising system. we deduced exact correlation dimension and Lyapunov dimension with searching important orbit from AR model power spectrum when reconstruct strange attractor using Taken's embedding theory. We considered a usefulness of speech recognition and speaker recognition using correlation dimension and Lyapunov dimension that characterized reconstruction attractor. As a result of consideration, which were of use more the speaker recognition than speech recognition, and in case of speaker recognition using Lyapunov dimension were much recognition rate more than speaker recognitions using correlation dimension.

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A Study on the Gradual Differentiation in Parametric Design (패러매트릭 디자인에서의 점진적 조형특성 연구)

  • Kim, Yong-Hak;Ahn, Seong-Mo
    • Korean Institute of Interior Design Journal
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    • v.27 no.2
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    • pp.175-185
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    • 2018
  • The purpose of this study is to analyze the concept of 'Gradual Differentiation' in parametric design in terms of pure model logic and thus describe the distinctive feature from the previous design method. To meet the purpose, it explores external cases like gradual factor identified in natural phenomenon and artworks and define the inherent model principles into "Self-similarity', "Correlation', and 'Temporality' by examining these features in terms of algorithm. Meanwhile, it identified the principle of gradual model representation in parametric design within a single system called 'Attractor System' by applying these three concepts into specific methods of parametric design, and by interpreting the logical structure through the association among 'Attractor', 'Field', and 'Differentiation'. The creative utilization of parameter shows that gradual model process in parametric design does not mean a passive "conversion process" merely replacing natural parameter with algorithm; rather, it refers to an active "generating process" creating new meanings and value. By continuing this process of conceptual understanding and insight, creative perspective and practical ability to interpret parameter can be improved.

Chaotic Evaluation of Slag Inclusion Welding Defect Time Series Signals Considering the Hyperspace (초공간을 고려한 슬래그 혼입 용접 결함 시계열 신호의 카오스성 평가)

  • Yi, Won;Yun, In-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.12
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    • pp.226-235
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    • 1998
  • This study proposes the analysis and evaluation of method of time series of ultrasonic signal using the chaotic feature extraction for ultrasonic pattern recognition. The features are extracted from time series data for analysis of weld defects quantitatively. For this purpose, analysis objectives in this study are fractal dimension, Lyapunov exponent, and strange attractor on hyperspace. The Lyapunov exponent is a measure of rate in which phase space diverges nearby trajectories. Chaotic trajectories have at least one positive Lyapunov exponent, and the fractal dimension appears as a metric space such as the phase space trajectory of a dynamical system. In experiment, fractal(correlation) dimensions and Lyapunov exponents show the mean value of 4.663, and 0.093 relatively in case of learning, while the mean value of 4.926, and 0.090 in case of testing in slag inclusion(weld defects) are shown. Therefore, the proposed chaotic feature extraction can be enhancement of precision rate for ultrasonic pattern recognition in defecting signals of weld zone, such as slag inclusion.

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Printed Numeric Character Recognition using Fractal Dimension and Modified Henon Attractor (프랙탈 차원과 수정된 에농 어트랙터를 이용한 인쇄체 숫자인식)

  • 손영우
    • Journal of Korea Multimedia Society
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    • v.6 no.1
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    • pp.89-96
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    • 2003
  • This paper propose the new method witch is adopted in extracting character features and recognizing numeric characters using fractal dimension and modified Henon Attractor of the Chaos Theory. Firstly, it gets features of mesh feature, projection feature and cross distance feature from numeric character images And their feature hi converted into time series data. Then using the modified Henon system suggested in this paper, it gets last features of numeric character image after calculating Natural Measure and information bit which art meant fractal dimension. Finally, numeric character recognition is performed by statistically finding out the each information bit showing the minimum difference against the normalized pattern database. An Experimental result shows 100% character classification rates for 10 digits and 90% of recognition rates in real situation and the recognition speed was 26 characters per second.

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