Coupling constant metamorphosis as an integrability-preserving transformation for general finite-dimensional dynamical systems and ODEs

DOI10.1016/j.physleta.2012.04.055zbMath1266.37025arXiv1008.1575OpenAlexW2024487812MaRDI QIDQ2376240

Artur Sergyeyev

Publication date: 21 June 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1575

zbMATH Keywords

integrable systemssymmetriesintegrals of motionLax pairscoupling constant metamorphosisgeneralized Stäckel transform

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Other variational principles in mechanics (70H30) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (4)

Invariant surfaces and Darboux integrability for non-autonomous dynamical systems in the plane ⋮ Deforming Lie algebras to Frobenius integrable nonautonomous Hamiltonian systems ⋮ Null lifts and projective dynamics ⋮ Integrable quantum Stäckel systems

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