Atlas of two-dimensional irreversible conservative Lagrangian mechanical systems with a second quadratic integral

DOI10.1063/1.2748374zbMath1152.81641arXiv0705.3676OpenAlexW1979847327MaRDI QIDQ3544401

H. M. Yehia

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/0705.3676

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (8)

Integrable 2D time-irreversible systems with a cubic second integral ⋮ New integrable problems in rigid body dynamics with quartic integrals ⋮ First integrals of motion for two dimensional weight-homogeneous Hamiltonian systems in curved spaces ⋮ On the integrability of new examples of two-dimensional Hamiltonian systems in curved spaces ⋮ Further classification of 2D integrable mechanical systems with quadratic invariants ⋮ New Families of Integrable Two-Dimensional Systems with Quartic Second Integrals ⋮ On the integrability of 2D Hamiltonian systems with variable Gaussian curvature ⋮ New integrable problems in the dynamics of particle and rigid body

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