On theC1non-integrability of differential systems via periodic orbits

DOI10.1017/S0956792511000143zbMath1229.34003OpenAlexW2098769248MaRDI QIDQ3087057

Claudia Valls, Jaume Llibre

Publication date: 2 August 2011

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

Full work available at URL: https://doi.org/10.1017/s0956792511000143

zbMATH Keywords

differential equationperiodic orbitC1 integrability

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (9)

On integrability of the segmented disc dynamo: the effect of mechanical friction ⋮ On first integrals of a family of generalized Lorenz-like systems ⋮ On the integrability of a four-prototype Rössler system ⋮ On the \(C^1\) non-integrability of the autonomous differential systems ⋮ Periodic solutions for the generalized anisotropic Lennard-Jones Hamiltonian ⋮ On the non-integrability of the Belousov-Zhabotinskii system ⋮ Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system ⋮ First integrals of the Maxwell-Bloch system ⋮ A note on the first integrals of the ABC system

Cites Work

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• DARBOUX INTEGRABILITY FOR THE RÖSSLER SYSTEM
• Invariant algebraic surfaces of the Lorenz system
• Exponential factors and Darbouxian first integrals of the Lorenz system
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• Forgotten and neglected theories of Poincaré

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