Global phase portraits of Kukles differential systems with homogeneous polynomial nonlinearities of degree 5 having a center

DOI10.12775/TMNA.2016.049zbMath1360.34071OpenAlexW2527775231MaRDI QIDQ519314

Maurício Fronza da Silva, Jaume Llibre

Publication date: 4 April 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2016.049

zbMATH Keywords

centerspolynomial vector fieldsphase portraitPoincaré diskKukles

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (3)

The centers and their cyclicity for a class of polynomial differential systems of degree 7 ⋮ Global Phase Portraits of Kukles Differential Systems with Homogeneous Polynomial Nonlinearities of Degree 6 Having a Center and Their Small Limit Cycles ⋮ Centers and Limit Cycles of Generalized Kukles Polynomial Differential Systems: Phase Portraits and Limit Cycles

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