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ucin1012855340.pdf (674.67 KB)
ETD Abstract Container
Abstract Header
VISUALIZATIONS OF PERIODIC ORBIT OF ORDINARY DIFFERENTIAL EQUATIONS
Author Info
SUN, JIAN
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1012855340
Abstract Details
Year and Degree
2002, MS, University of Cincinnati, Engineering : Computer Science.
Abstract
This thesis focuses on analyzing and implementing numerical methods to solve the periodic orbits of differential equations. It uses Microsoft MFC to create a user-friendly interface to visualize the final result. In the first part after a brief introduction we compare several integration methods, and choose the Gauss 10 as the numerical integration method for computing afterwards. In part two we introduced different approaches for finding periodic solutions of differential equations. In our case, we choose Palmore's method to compute the periodic orbits of differential equations such as Van der Pol, and the restricted three-body problem. The code is listed in the third part. The fourth part describes how to create a graphic user interface and make it user-friendlier with Microsoft MFC. The visualized periodic orbits for the restricted three-body problem are listed in final part.
Committee
Dr. Dieter Schmidt (Advisor)
Pages
56 p.
Subject Headings
Computer Science
Keywords
periodic orbits
;
MFC
;
numerical
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Citations
SUN, J. (2002).
VISUALIZATIONS OF PERIODIC ORBIT OF ORDINARY DIFFERENTIAL EQUATIONS
[Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1012855340
APA Style (7th edition)
SUN, JIAN.
VISUALIZATIONS OF PERIODIC ORBIT OF ORDINARY DIFFERENTIAL EQUATIONS.
2002. University of Cincinnati, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1012855340.
MLA Style (8th edition)
SUN, JIAN. "VISUALIZATIONS OF PERIODIC ORBIT OF ORDINARY DIFFERENTIAL EQUATIONS." Master's thesis, University of Cincinnati, 2002. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1012855340
Chicago Manual of Style (17th edition)
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Document number:
ucin1012855340
Download Count:
807
Copyright Info
© 2002, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.