Uniform isochronous cubic and quartic centers: revisited

DOI10.1016/j.cam.2016.09.018zbMath1355.34054OpenAlexW2535080800MaRDI QIDQ344304

Jackson Itikawa, Joan C. Artés, Jaume Llibre

Publication date: 22 November 2016

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

Full work available at URL: http://ddd.uab.cat/record/169500

zbMATH Keywords

periodic orbitpolynomial vector fielduniform isochronous center

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) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

Phase portraits of uniform isochronous centers with homogeneous nonlinearities ⋮ Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers ⋮ RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS

Cites Work

• On commuting vector fields and Darboux functions for planar differential equations
• Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers
• Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities
• Cubic systems and Abel equations
• Conditions for a centre in a simple class of cubic systems
• Limit cycles for rigid cubic systems
• Phase portraits of uniform isochronous quartic centers

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