Center of planar quintic quasi--homogeneous polynomial differential systems | Zendy

Yilei Tang | Zendy; Long Wang | Zendy; Xiang Zhang | Zendy

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Center of planar quintic quasi--homogeneous polynomial differential systems

Author(s) -

Yilei Tang,

Long Wang,

Xiang Zhang

Publication year - 2014

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2015.35.2177

Subject(s) - phase portrait , center (category theory) , homogeneous , quintic function , differential (mechanical device) , homogeneous polynomial , planar , mathematics , polynomial , degree (music) , pure mathematics , topology (electrical circuits) , mathematical analysis , computer science , combinatorics , physics , matrix polynomial , bifurcation , nonlinear system , quantum mechanics , chemistry , computer graphics (images) , acoustics , thermodynamics , crystallography

In this paper we first characterize all quasi--homogeneous but non--homogeneous planar polynomial differential systems of degree five, and then among which we classify all the ones having a center at the origin. Finally we present the topological phase portrait of the systems having a center at the origin.

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