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Title:
The study of isochronicity and critical period bifurcations on center manifolds of 3-dim polynomial systems using computer algebra
Authors:
ID
Mencinger, Matej
(
Author
)
ID
Ferčec, Brigita
(
Author
)
Files:
http://www.aca2013.uma.es/Proceedings.pdf
Language:
English
Work type:
Not categorized
Typology:
1.08 - Published Scientific Conference Contribution
Organization:
FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
Abstract:
Using the solution of the center-focus problem from [4], we present the investigation of isochronicity and critical period bifurcations of two families of cubic 3-dim systems of ODEs. Both cubic systems have a center manifold filled with closed trajectories. The presented study is performed using computer algebra systems Mathematica and Singular.
Keywords:
polynomial systems of ODEs
,
center manifolds
,
isochronicity
,
bifurcation of critical periods
,
CAS
Year of publishing:
2013
Number of pages:
Str. 68-72
PID:
20.500.12556/DKUM-49455
UDC:
51
COBISS.SI-ID:
16999958
NUK URN:
URN:SI:UM:DK:4UYIUA39
Publication date in DKUM:
10.07.2015
Views:
1684
Downloads:
78
Metadata:
Categories:
Misc.
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