The Exact Theory and Numerical Computations of Pendulum Motions on Riemann Surface of Genus N with Cut-structure of type A

碩士 === 國立交通大學 === 應用數學系所 === 100 === In this paper, we mainly investigate the pendulum motion, the content is divided into two parts. The first part, we use the polynomials to approach and the corresponding ode. And introduce that how to create the corresponding Riemann surfaces where the solutions...

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Main Author:	張建偉
Other Authors:	李榮耀
Format:	Others
Language:	en_US
Published:	2012
Online Access:	http://ndltd.ncl.edu.tw/handle/92954571519886138197

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spelling	ndltd-TW-100NCTU55070112016-03-28T04:20:36Z http://ndltd.ncl.edu.tw/handle/92954571519886138197 The Exact Theory and Numerical Computations of Pendulum Motions on Riemann Surface of Genus N with Cut-structure of type A 在A型代數結構下之N相黎曼空間的單擺運動之確切理論與數值運算張建偉碩士國立交通大學應用數學系所 100 In this paper, we mainly investigate the pendulum motion, the content is divided into two parts. The first part, we use the polynomials to approach and the corresponding ode. And introduce that how to create the corresponding Riemann surfaces where the solutions of the approximate ode reside. And we use Mathmetica to help us to compute the path integrals corresponding to the Riemann surface and certain properties of ode. The second part, we introduce basic properties of the elliptic functions and use them to solve the exactly solutions, periods and certain properties for the exact ode. 李榮耀 2012 學位論文 ; thesis 87 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立交通大學 === 應用數學系所 === 100 === In this paper, we mainly investigate the pendulum motion, the content is divided into two parts. The first part, we use the polynomials to approach and the corresponding ode. And introduce that how to create the corresponding Riemann surfaces where the solutions of the approximate ode reside. And we use Mathmetica to help us to compute the path integrals corresponding to the Riemann surface and certain properties of ode. The second part, we introduce basic properties of the elliptic functions and use them to solve the exactly solutions, periods and certain properties for the exact ode.
author2	李榮耀
author_facet	李榮耀張建偉
author	張建偉
spellingShingle	張建偉 The Exact Theory and Numerical Computations of Pendulum Motions on Riemann Surface of Genus N with Cut-structure of type A
author_sort	張建偉
title	The Exact Theory and Numerical Computations of Pendulum Motions on Riemann Surface of Genus N with Cut-structure of type A
title_short	The Exact Theory and Numerical Computations of Pendulum Motions on Riemann Surface of Genus N with Cut-structure of type A
title_full	The Exact Theory and Numerical Computations of Pendulum Motions on Riemann Surface of Genus N with Cut-structure of type A
title_fullStr	The Exact Theory and Numerical Computations of Pendulum Motions on Riemann Surface of Genus N with Cut-structure of type A
title_full_unstemmed	The Exact Theory and Numerical Computations of Pendulum Motions on Riemann Surface of Genus N with Cut-structure of type A
title_sort	exact theory and numerical computations of pendulum motions on riemann surface of genus n with cut-structure of type a
publishDate	2012
url	http://ndltd.ncl.edu.tw/handle/92954571519886138197
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The Exact Theory and Numerical Computations of Pendulum Motions on Riemann Surface of Genus N with Cut-structure of type A

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