On two-dimensional integrable models with a cubic or quartic integral of motion

DOI10.1007/JHEP09(2013)113zbMath1342.70047arXiv1306.5238OpenAlexW2094324961MaRDI QIDQ737542

Olaf Lechtenfeld, Anton V. Galajinsky

Publication date: 12 August 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5238

zbMATH Keywords

discrete and finite symmetriesintegrable equations in physics

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical systems in classical and celestial mechanics (37N05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Systems of nonlinear first-order PDEs (35F50)

Related Items (6)

Integrable cosmological potentials ⋮ New integrable problems in rigid body dynamics with quartic integrals ⋮ Integrability analysis of natural Hamiltonian systems in curved spaces ⋮ New Families of Integrable Two-Dimensional Systems with Quartic Second Integrals ⋮ Polyrhythmic multifrequency synchronization in coupled oscillators with exactly solvable attractors ⋮ New integrable problems in the dynamics of particle and rigid body

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