DocumentCode
551595
Title
On the properties of the solutions of n-th order quasihomogeneous autonomous systems and related systems
Author
Hu, Yanxia ; Xue, Chongzheng
Author_Institution
Sch. of Math. & Phys., North China Electr. Power Univ., Beijing, China
Volume
1
fYear
2011
fDate
25-28 July 2011
Firstpage
6
Lastpage
9
Abstract
In this paper, the properties of the solutions of n-th order quasihomogeneous systems are considered, and the forms of the equilibrium solutions and a class of particular solutions of quasihomogeneous systems are shown. A property of invariant manifolds of the systems is given, and a method to obtaining first integrals is proposed. Finally, the relation between first integrals (integrating factors) of the system and the first integrals (integrating factors) of semi-quasihomogeneous systems is presented.
Keywords
differential equations; integration; equilibrium solutions; first integrals; integrating factors; nth order quasihomogeneous autonomous systems; similarity invariant systemss; weighted homogeneous systems; Chaos; Differential equations; Eigenvalues and eigenfunctions; Gyroscopes; Manifolds; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Control and Information Processing (ICICIP), 2011 2nd International Conference on
Conference_Location
Harbin
Print_ISBN
978-1-4577-0813-8
Type
conf
DOI
10.1109/ICICIP.2011.6008187
Filename
6008187
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