Isochronicity and normal forms of polynomial systems of ODEs

Maoan Han (Author), Valery Romanovski (Author)

Abstract

We propose a generalization of the notion of isochronicity for real polynomial autonomous systems to the case of complex two dimensional systems of ODEs. We study the generalized problem in the case of a quadratic system and a system with homogeneous cubic nonlinearities. Main tools of the study are algorithms of computational algebra based on the Groebner basis theory.

Keywords

polynomial systems of ODE`s;isochronicity;linearizability;normal forms;

Data

Language:	English
Year of publishing:	2012
Typology:	1.08 - Published Scientific Conference Contribution
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
UDC:	51
COBISS:	19324168
ISSN:	0747-7171
Views:	661
Downloads:	85
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
URN:	URN:SI:UM:
Type (COBISS):	Not categorized
Pages:	str. 1163-1174
Volume:	ǂVol. ǂ47
Issue:	ǂiss. ǂ10
Chronology:	Oct. 2012
DOI:	10.1016/j.jsc.2011.12.039
ID:	1440182