The Bifurcation Analysis of the N-th Order, Nonlinear Ordinary Differential Equations
碩士 === 國立交通大學 === 應用數學研究所 === 82 === In this thesis, we develped both the theoretic and numerical tools to investigate the bifurcation dynamics of the general nonlinear,high-dimensional ODEs. Our numerical code is then developed and applied...
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| Format: | Others |
| Language: | en_US |
| Published: |
1994
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| Online Access: | http://ndltd.ncl.edu.tw/handle/20155518528129413382 |
| Summary: | 碩士 === 國立交通大學 === 應用數學研究所 === 82 === In this thesis, we develped both the theoretic and numerical
tools to investigate the bifurcation dynamics of the general
nonlinear,high-dimensional ODEs. Our numerical code is then
developed and applied to the N-mode truncated, perturbed
nonlinear Schrodinger equation (which is specified later) to do
the pratical computations. The results are completely
consistent with the previous work done by Chuyu Xiong [11],
which is also the main reference in our study.
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