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Limit Cycle Bifurcations by Perturbing a Compound Loop with a Cusp and a Nilpotent Saddle
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-16
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We study the expansions of the first order Melnikov functions for general near-Hamiltonian systems near a compound loop with a cusp and a nilpotent saddle.
We also obtain formulas for the first coefficients appearing in the expansions and then establish a bifurcation theorem on the number of limit cycles.
As an application example, we give a lower bound of the maximal number of limit cycles for a polynomial system of Liénard type.
American Psychological Association (APA)
Tian, Huanhuan& Han, Maoan. 2014. Limit Cycle Bifurcations by Perturbing a Compound Loop with a Cusp and a Nilpotent Saddle. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1014851
Modern Language Association (MLA)
Tian, Huanhuan& Han, Maoan. Limit Cycle Bifurcations by Perturbing a Compound Loop with a Cusp and a Nilpotent Saddle. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1014851
American Medical Association (AMA)
Tian, Huanhuan& Han, Maoan. Limit Cycle Bifurcations by Perturbing a Compound Loop with a Cusp and a Nilpotent Saddle. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1014851
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014851