Third order integrability conditions for homogeneous potentials of degree −1

DOI10.1063/1.4746691zbMath1331.70050arXiv1111.5971OpenAlexW3103284714MaRDI QIDQ2872222

Christoph Koutschan, Thierry Combot

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1111.5971

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Stability theory for smooth dynamical systems (37C75)

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Uses Software

• HolonomicFunctions

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