Complete integrability versus symmetry

DOI10.1063/1.4768254zbMath1287.37039arXiv1206.4083OpenAlexW2022974934MaRDI QIDQ2872411

Răzvan M. Tudoran

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/1206.4083

zbMATH Keywords

normal formsLie symmetriesLie theoremintegrability of ordinary differential equationsNambu-Hamiltonian dynamical systems

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

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• On foundation of the generalized Nambu mechanics
• On the planar integrable differential systems
• Remarks on a Lie theorem on the integrability of differential equations in closed form
• Dynamical systems and Poisson structures
• Generalized Hamiltonian Dynamics
• Hamiltonian equations in R3