The Development of Integrated Research Package for Chaos

碩士 === 中原大學 === 機械工程研究所 === 82 === Chaos theory is one of the most important discovery of science in this century. It cover all area of science, and govern allover macroscopic behavior of various dynamic system. The scientists and engine...

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Main Authors: Yu, Tzyy Genn, 余子亙
Other Authors: Hwang, Chi Chuan
Format: Others
Language:zh-TW
Published: 1994
Online Access:http://ndltd.ncl.edu.tw/handle/55640298026867775709
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spelling ndltd-TW-082CYCU04890382016-02-10T04:08:56Z http://ndltd.ncl.edu.tw/handle/55640298026867775709 The Development of Integrated Research Package for Chaos 混沌動力系統整合性研究軟體之開發 Yu, Tzyy Genn 余子亙 碩士 中原大學 機械工程研究所 82 Chaos theory is one of the most important discovery of science in this century. It cover all area of science, and govern allover macroscopic behavior of various dynamic system. The scientists and engineers of different area including no matter astronomy, aerography, geography,physics , chemistry, biology, medicine, applied engineering, or economy, and so on, are trying to re-explore the truth of nature by the new concept. However, It's often necessary for the use of computer to simulate and analyze chaotic phenomena or chaotic theory. Therefore, it's very needed a useful software package for chaotic research and education. But the function of present software we collect are deficient and not perfect. The researcher can't use them to simulate arbitrary dynamical system model who want to study. So we decide to develop a integrated research package supporting Windows operating system for the use of research and education. When user input differential or difference equation system, the software can plot time waveform, phase plane, power spectrum, Poincare map, basin of attraction, fractal dimension, Lyapunov exponents, etc., at the screen. In this thesis, the process and consideration of developing such a package is presented. Also note that the limitation of simulation─unavoidable error introduced in simulating continuous-time systems. So simulation data must be interpreted carefully. The subject of chaotic dynamics is boundless and full of stimulation and challenge. We hope that the success of developing such software can introduce more and more people into the beautiful world of chaotic dynamics. Hwang, Chi Chuan 黃吉川 1994 學位論文 ; thesis 58 zh-TW
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description 碩士 === 中原大學 === 機械工程研究所 === 82 === Chaos theory is one of the most important discovery of science in this century. It cover all area of science, and govern allover macroscopic behavior of various dynamic system. The scientists and engineers of different area including no matter astronomy, aerography, geography,physics , chemistry, biology, medicine, applied engineering, or economy, and so on, are trying to re-explore the truth of nature by the new concept. However, It's often necessary for the use of computer to simulate and analyze chaotic phenomena or chaotic theory. Therefore, it's very needed a useful software package for chaotic research and education. But the function of present software we collect are deficient and not perfect. The researcher can't use them to simulate arbitrary dynamical system model who want to study. So we decide to develop a integrated research package supporting Windows operating system for the use of research and education. When user input differential or difference equation system, the software can plot time waveform, phase plane, power spectrum, Poincare map, basin of attraction, fractal dimension, Lyapunov exponents, etc., at the screen. In this thesis, the process and consideration of developing such a package is presented. Also note that the limitation of simulation─unavoidable error introduced in simulating continuous-time systems. So simulation data must be interpreted carefully. The subject of chaotic dynamics is boundless and full of stimulation and challenge. We hope that the success of developing such software can introduce more and more people into the beautiful world of chaotic dynamics.
author2 Hwang, Chi Chuan
author_facet Hwang, Chi Chuan
Yu, Tzyy Genn
余子亙
author Yu, Tzyy Genn
余子亙
spellingShingle Yu, Tzyy Genn
余子亙
The Development of Integrated Research Package for Chaos
author_sort Yu, Tzyy Genn
title The Development of Integrated Research Package for Chaos
title_short The Development of Integrated Research Package for Chaos
title_full The Development of Integrated Research Package for Chaos
title_fullStr The Development of Integrated Research Package for Chaos
title_full_unstemmed The Development of Integrated Research Package for Chaos
title_sort development of integrated research package for chaos
publishDate 1994
url http://ndltd.ncl.edu.tw/handle/55640298026867775709
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