A note on the Darboux theory of integrability of non-autonomous polynomial differential systems

DOI10.1088/0951-7715/25/9/2615zbMath1263.34004OpenAlexW2081864444MaRDI QIDQ2918662

Chara Pantazi, David Blázquez-Sanz

Publication date: 10 October 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150477

zbMATH Keywords

Darboux integrabilitynon-autonomous polynomial differential systems

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45) Differential algebra (12H05)

Related Items (4)

Liouvillian integrability of polynomial differential systems ⋮ Integrability and solvability of polynomial Liénard differential systems ⋮ Invariant surfaces and Darboux integrability for non-autonomous dynamical systems in the plane ⋮ On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory

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