Qualitative analysis to a nonlinear system
by Xiao, Pengcheng, M.S., THE UNIVERSITY OF TEXAS - PAN AMERICAN, 2011, 44 pages; 1499889

Abstract:

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.
 
AdviserZhaosheng Feng
SchoolTHE UNIVERSITY OF TEXAS - PAN AMERICAN
SourceMAI/ 50-02, p. , Oct 2011
Source TypeThesis
SubjectsMathematics
Publication Number1499889
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