Double tangent extension method and first integrals

DOI10.1063/1.4726191zbMath1283.34002OpenAlexW2037895559MaRDI QIDQ2865488

Lanouar Lazrag

Publication date: 29 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4726191

zbMATH Keywords

differential Galois theoryfirst integralsintegrable systemDarboux point

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential algebra (12H05)

Cites Work

• Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
• Necessary conditions for super-integrability of Hamiltonian systems
• Finiteness of integrable \(n\)-dimensional homogeneous polynomial potentials
• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• Rational first integrals in the Darboux theory of integrability in \(\mathbb C^n\)
• Differential Galois obstructions for integrability of homogeneous Newton equations
• DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY
• Differential Galois theory and non-integrability of Hamiltonian systems

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