Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities

DOI10.3934/dcdsb.2016.21.121zbMath1334.34069OpenAlexW2526407710MaRDI QIDQ894979

Jackson Itikawa, Jaume Llibre

Publication date: 25 November 2015

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2016.21.121

zbMATH Keywords

phase portraitPoincaré diskpolynomial vector fielduniform isochronous centerquartic polynomial differential 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)

Related Items (4)

Phase portraits of uniform isochronous centers with homogeneous nonlinearities ⋮ Uniform isochronous cubic and quartic centers: revisited ⋮ Phase portraits of planar piecewise linear refracting systems: focus-saddle case ⋮ Limit cycles and global dynamics of planar piecewise linear refracting systems of focus-focus type

Cites Work

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• On commuting vector fields and Darboux functions for planar differential equations
• Isochronicity and normal forms of polynomial systems of ODEs
• Characterizing isochronous points and computing isochronous sections
• Phase portraits of uniform isochronous quartic centers
• Qualitative theory of planar differential systems
• Classification of Continuous Flows on 2-Manifolds
• Generic Properties of Polynomial Vector Fields at Infinity

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