Lie–Hamilton systems on the plane: applications and superposition rules

DOI10.1088/1751-8113/48/34/345202zbMath1350.34019arXiv1410.7336OpenAlexW3098726283MaRDI QIDQ3447825

Alfonso Blasco, Cristina Sardón, Francisco J. Herranz, Javier de Lucas

Publication date: 28 October 2015

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

Full work available at URL: https://arxiv.org/abs/1410.7336

zbMATH Keywords

superposition ruleconstant of motionPoisson coalgebraLie-Hamilton systemVessiot Guldberg Lie algebra

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Hamiltonian and Lagrangian mechanics (70H99)

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