An integrating factor of the Darboux differential systems

DOI10.33048/semi.2019.16.085zbMath1453.34002OpenAlexW3015359438MaRDI QIDQ2331138

Evgenii Pavlovich Volokitin, Vladimir Mikhaĭlovich Cheresiz

Publication date: 25 October 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.085

zbMATH Keywords

symmetriespolynomial systemsintegrating factorpolynomial first integralsrational first integrals

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

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• On commuting vector fields and Darboux functions for planar differential equations
• Darboux integrability and the inverse integrating factor.
• Generalized cofactors and nonlinear superposition principles
• Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node
• On the remarkable values of the rational first integrals of polynomial vector fields
• Algebraic first integrals of the polynomial systems satisfying the Cauchy-Riemann conditions
• regularity properties of the period function near a center of a planar vector field
• Commutators and linearizations of isochronous centers
• On the vanishing set of inverse integrating factors

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