Article (123 Kb)  Free access
Highlights
More informations
Title 
On the existence of polynomial first integrals of quadratic homogeneous systems of ordinary differential equations 

Author  
Published in  Journal of Physics. A, Mathematical and General. 2001, vol. 34, no. 11, p. 21852193  
Abstract  We consider systems of ordinary differential equations with quadratic homogeneous right hand side. We give a new simple proof of a result already obtained in [8,10] which gives the necessary conditions for the existence of polynomial first integrals. The necessary conditions for the existence of a polynomial symmetry field are given. It is proved that an arbitrary homogeneous first integral of a given degree is a linear combination of a fixed set of polynomials.  
Identifiers  arXiv: math/0010197v1  
Full text  
Structures  
Citation (ISO format)  TSYGVINTSEV, Alexei. On the existence of polynomial first integrals of quadratic homogeneous systems of ordinary differential equations. In: Journal of Physics. A, Mathematical and General, 2001, vol. 34, n° 11, p. 21852193. https://archiveouverte.unige.ch/unige:12387 