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Title:
Limit cycle bifurcations from a nilpotent focus or center of planar systems
Authors:
ID
Han, Maoan
(
Author
)
ID
Romanovski, Valery
(
Author
)
Files:
Abstract_and_Applied_Analysis_2012_Han,_Romanovski_Limit_Cycle_Bifurcations_from_a_Nilpotent_Focus_or_Center_of_Planar_Systems.pdf
(1,95 MB)
MD5: 10E21BD4325361CF060108AC5B94DD05
http://www.hindawi.com/journals/aaa/2012/720830/
Language:
English
Work type:
Scientific work
Typology:
1.01 - Original Scientific Article
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
We study analytic properties of the Poincaré return map and generalized focal values of analytic planar systems with a nilpotent focus or center. We use the focal values and the map to study the number of limit cycles of this kind of systems and obtain some new results on the lower and upper bounds of the maximal number of limit cycles bifurcating from the nilpotent focus or center. The main results generalize the classical Hopf bifurcation theory and establish the new bifurcation theory for the nilpotent case.
Keywords:
mathematic
,
limit cycles
,
bifurcation
,
center problem
Publication status:
Published
Publication version:
Version of Record
Submitted for review:
11.08.2012
Article acceptance date:
28.10.2012
Publication date:
28.11.2012
Publisher:
Wiley
Year of publishing:
2012
Number of pages:
str. 1-28
Numbering:
Letn. 2012
PID:
20.500.12556/DKUM-50610
ISSN:
1085-3375
UDC:
517.9
ISSN on article:
1085-3375
COBISS.SI-ID:
19592968
DOI:
10.1155/2012/720830
NUK URN:
URN:SI:UM:DK:76CLVRAA
Publication date in DKUM:
10.07.2015
Views:
1444
Downloads:
409
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
Abstract and Applied Analysis
Shortened title:
Abstr. Appl. Anal.
Publisher:
Hindawi Publishing Corporation
ISSN:
1085-3375
COBISS.SI-ID:
12311129
Document is financed by a project
Funder:
EC - European Commission
Funding programme:
FP7
Project number:
316338
Name:
Dynamical Systems and Their Applications
Acronym:
DYNSYSAPLL
Licences
License:
CC BY 4.0, Creative Commons Attribution 4.0 International
Link:
http://creativecommons.org/licenses/by/4.0/
Description:
This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:
10.07.2015
Secondary language
Language:
Slovenian
Keywords:
matematika
,
limitni cikli
,
bifurkacija
,
problem centra
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