Integrability analysis of natural Hamiltonian systems in curved spaces

DOI10.1016/j.cnsns.2018.04.023OpenAlexW2800594323WikidataQ129909703 ScholiaQ129909703MaRDI QIDQ2207980

Wojciech Szumiński

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2018.04.023

zbMATH Keywords

differential Galois theoryMorales-Ramis theoryHamiltonian systems in curved spacesLiouville integrability obstructions

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (4)

Integrability analysis of the Shimizu-Morioka system ⋮ First integrals of motion for two dimensional weight-homogeneous Hamiltonian systems in curved spaces ⋮ Dynamics and integrability analysis of two pendulums coupled by a spring ⋮ On the integrability of new examples of two-dimensional Hamiltonian systems in curved spaces

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