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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Main Authors:	Chi-Jer Yu, 余啟哲
Other Authors:	Jong-Eao Lee
Format:	Others
Language:	en_US
Published:	1994
Online Access:	http://ndltd.ncl.edu.tw/handle/20155518528129413382

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spelling	ndltd-TW-082NCTU05070092016-07-18T04:09:41Z http://ndltd.ncl.edu.tw/handle/20155518528129413382 The Bifurcation Analysis of the N-th Order, Nonlinear Ordinary Differential Equations N-階非線性常微方程式分歧現象分析 Chi-Jer Yu 余啟哲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. Jong-Eao Lee 李榮耀 1994 學位論文 ; thesis 24 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	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.
author2	Jong-Eao Lee
author_facet	Jong-Eao Lee Chi-Jer Yu 余啟哲
author	Chi-Jer Yu 余啟哲
spellingShingle	Chi-Jer Yu 余啟哲 The Bifurcation Analysis of the N-th Order, Nonlinear Ordinary Differential Equations
author_sort	Chi-Jer Yu
title	The Bifurcation Analysis of the N-th Order, Nonlinear Ordinary Differential Equations
title_short	The Bifurcation Analysis of the N-th Order, Nonlinear Ordinary Differential Equations
title_full	The Bifurcation Analysis of the N-th Order, Nonlinear Ordinary Differential Equations
title_fullStr	The Bifurcation Analysis of the N-th Order, Nonlinear Ordinary Differential Equations
title_full_unstemmed	The Bifurcation Analysis of the N-th Order, Nonlinear Ordinary Differential Equations
title_sort	bifurcation analysis of the n-th order, nonlinear ordinary differential equations
publishDate	1994
url	http://ndltd.ncl.edu.tw/handle/20155518528129413382
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The Bifurcation Analysis of the N-th Order, Nonlinear Ordinary Differential Equations

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