On the planar integrable differential systems

DOI10.1007/s00033-011-0116-5zbMath1263.34046OpenAlexW2053702678MaRDI QIDQ1938453

Jaume Llibre, Jaume Giné

Publication date: 4 February 2013

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150422

zbMATH Keywords

integrabilityLie symmetriesintegrating factors

Mathematics Subject Classification ID

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

Related Items (8)

Geometry of integrable dynamical systems on 2-dimensional surfaces ⋮ Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system ⋮ A normal form of completely integrable systems ⋮ The completely integrable differential systems are essentially linear differential systems ⋮ Generalized involutive symmetry and its application in integrability of differential systems ⋮ Reduction of integrable planar polynomial differential systems ⋮ Complex planar Hamiltonian systems: linearization and dynamics ⋮ Complete integrability versus symmetry

Cites Work

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• On the integrable rational Abel differential equations
• On the integrability of two-dimensional flows
• Darboux integrability and the inverse integrating factor.
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• On Lie's symmetries for planar polynomial differential systems
• On the differentiability of first integrals of two dimensional flows
• Elementary First Integrals of Differential Equations
• Liouvillian First Integrals of Differential Equations
• Classification of Continuous Flows on 2-Manifolds

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