| Summary: | 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.
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