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Title:
Isochronicity and normal forms of polynomial systems of ODEs
Authors:
ID
Han, Maoan
(
Author
)
ID
Romanovski, Valery
(
Author
)
Files:
http://dx.doi.org/10.1016/j.jsc.2011.12.039
Language:
English
Work type:
Not categorized
Typology:
1.08 - Published Scientific Conference Contribution
Organization:
FNM - Faculty of Natural Sciences and Mathematics
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
Year of publishing:
2012
Number of pages:
str. 1163-1174
Numbering:
Vol. 47, iss. 10
PID:
20.500.12556/DKUM-50562
UDC:
51
ISSN on article:
0747-7171
COBISS.SI-ID:
19324168
DOI:
10.1016/j.jsc.2011.12.039
NUK URN:
URN:SI:UM:DK:XSIJAURW
Publication date in DKUM:
10.07.2015
Views:
1386
Downloads:
104
Metadata:
Categories:
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Record is a part of a proceedings
Title:
Symbolic computation and its applications, Maribor, Slovenia, 30 June - 2 July 2010
COBISS.SI-ID:
19400712
Record is a part of a journal
Title:
Journal of symbolic computation
Shortened title:
J. symb. comput.
Publisher:
Academic Press
ISSN:
0747-7171
COBISS.SI-ID:
27496192
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