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Limit Cycle Bifurcations from a Nilpotent Focus or Center of Planar Systems
Joint Authors
Romanovski, Valery G.
Han, Maoan
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-28
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Han, Maoan& Romanovski, Valery G.. 2012. Limit Cycle Bifurcations from a Nilpotent Focus or Center of Planar Systems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-493283
Modern Language Association (MLA)
Han, Maoan& Romanovski, Valery G.. Limit Cycle Bifurcations from a Nilpotent Focus or Center of Planar Systems. Abstract and Applied Analysis No. 2012 (2012), pp.1-28.
https://search.emarefa.net/detail/BIM-493283
American Medical Association (AMA)
Han, Maoan& Romanovski, Valery G.. Limit Cycle Bifurcations from a Nilpotent Focus or Center of Planar Systems. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-28.
https://search.emarefa.net/detail/BIM-493283
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493283