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
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;
Conference_Titel :
Intelligent Control and Information Processing (ICICIP), 2011 2nd International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4577-0813-8
DOI :
10.1109/ICICIP.2011.6008187
