The centers and their cyclicity for a class of polynomial differential systems of degree 7

DOI10.1016/j.cam.2019.112456zbMath1430.34043OpenAlexW2974079053MaRDI QIDQ2291977

Rebiha Benterki, Jaume Llibre

Publication date: 31 January 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112456

zbMATH Keywords

centerlimit cycleHopf bifurcationaveraging methodphase portraitcyclicity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (2)

Centers and Limit Cycles of Generalized Kukles Polynomial Differential Systems: Phase Portraits and Limit Cycles ⋮ Global phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 6

Cites Work

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• Centers for the Kukles homogeneous systems with odd degree
• Higher order averaging theory for finding periodic solutions via Brouwer degree
• Global Structure of Ordinary Differential Equations in the Plane

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