Abstract/Details

Qualitative analysis to a nonlinear system


2011 2011

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Abstract (summary)

In this thesis, we first present a qualitative analysis to a nonlinear system under certain parametric conditions. Then for a special case, we make a series of variable transformation and apply the Prelle-Singer Method to find the first integrals of the simplified equations without complicated calculations. Through the inverse transformations we get the first integrals of the original equation. Finally, we use the same Prelle-Singer method to get the first integral for an extended nonlinear system.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; First integrals; Nonlinear systems
Title
Qualitative analysis to a nonlinear system
Author
Xiao, Pengcheng
Number of pages
44
Publication year
2011
Degree date
2011
School code
6240
Source
MAI 50/02M, Masters Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9781124899213
Advisor
Feng, Zhaosheng
Committee member
Feng, Baofeng; Huber, Tim; Onica, Constantin
University/institution
The University of Texas - Pan American
Department
Department of Mathematics
University location
United States -- Texas
Degree
M.S.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
1499889
ProQuest document ID
896956569
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/896956569
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