Limit cycles in a quartic system with a third-order nilpotent singular point

Abstract In this paper, limit cycles bifurcating from a third-order nilpotent critical point in a class of quartic planar systems are studied. With the aid of computer algebra system MAPLE, the first 12 Lyapunov constants are deduced by the normal form method. As a result, sufficient and necessary c...

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Bibliographic Details
Main Author: Xinli Li
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1607-x