On commuting vector fields and Darboux functions for planar differential equations

DOI10.1134/S1995080213030049zbMath1288.34031OpenAlexW2050868698MaRDI QIDQ384223

Partha Guha, Anindya Ghose Choudhury

Publication date: 27 November 2013

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080213030049

zbMATH Keywords

isochronicityDaboux polynomialstransversal commuting systems

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) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (8)

Phase portraits of uniform isochronous centers with homogeneous nonlinearities ⋮ Limit cycles in uniform isochronous centers of discontinuous differential systems with four zones ⋮ Uniform isochronous cubic and quartic centers: revisited ⋮ Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities ⋮ Commuting planar polynomial vector fields for conservative Newton systems ⋮ Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers ⋮ An integrating factor of the Darboux differential systems ⋮ Phase portraits of uniform isochronous quartic centers

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