Limit cycles for a class of polynomial differential systems | Zendy

Jianyuan Qiao | Zendy; Shuliang Shui | Zendy

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Limit cycles for a class of polynomial differential systems

Author(s) -

Jianyuan Qiao,

Shuliang Shui

Publication year - 2016

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2016.1.9

Subject(s) - mathematics , class (philosophy) , limit (mathematics) , polynomial , differential (mechanical device) , pure mathematics , mathematical analysis , computer science , thermodynamics , artificial intelligence , physics

In this paper, we consider the limit cycles of a class of polynomial differential systems of the form ẋ = −y2p−1, ẏ = x2mp−1 + ε(px2mp + qy2p)(g(x, y) − A), where g(x, y) is a polynomial. We obtain the maximum number of limit cycles that bifurcate from the periodic orbits of a center using the averaging theory of first order.

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