Center of planar quintic quasi-homogeneous polynomial differential systems

DOI10.3934/dcds.2015.35.2177zbMath1327.34054OpenAlexW2321851160MaRDI QIDQ484432

Yilei Tang, Xiang Zhang, Long Wang

Publication date: 7 January 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.2177

zbMATH Keywords

classificationglobal centermonotone period functionquasi-homogeneous systemquintic planar polynomial system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Periodic orbits of vector fields and flows (37C27)

Related Items (12)

Classification and counting of planar quasi-homogeneous differential systems through their weight vectors ⋮ On the Limit Cycles Bifurcating from Piecewise Quasi-Homogeneous Differential Center ⋮ Global dynamics and bifurcation of planar piecewise smooth quadratic quasi-homogeneous differential systems ⋮ On the center criterion of planar quasi-homogeneous polynomial differential systems ⋮ Quasi-homogeneous polynomial differential systems having a center at the origin ⋮ Classification of global phase portrait of planar quintic quasi-homogeneous coprime polynomial systems ⋮ Centers of weight-homogeneous polynomial vector fields on the plane ⋮ Center Problem for Quasi-Homogeneous Polynomial Systems with a Given Weight Degree ⋮ An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems ⋮ Planar semi-quasi homogeneous polynomial differential systems with a given degree ⋮ Global dynamics of planar quasi-homogeneous differential systems ⋮ Limit cycles and global dynamic of planar cubic semi-quasi-homogeneous systems

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