caa a22 4500 467886865 CHVBK 20180406152737.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s10714-006-0293-2 doi (NATIONALLICENCE)springer-10.1007/s10714-006-0293-2 Wolf T. Department of Mathematics, Brock University, 500 Glenridge Avenue, St. Catharines, L2S 3A1, Ontario, Canada aut Integrable quadratic Hamiltonians with a linear Lie-Poisson bracket [Elektronische Daten] [T. Wolf] Quadratic Hamiltonians with a linear Lie-Poisson bracket have a number of applications in mechanics. For example, the Lie-Poisson bracket e(3) includes the Euler-Poinsot model describing motion of a rigid body around a fixed point under gravity and the Kirchhoff model describes the motion of a rigid body in ideal fluid. Among the applications with a Lie-Poisson bracket so(4) and so(3, 1) is the description of free rigid body motion in a space of constant curvature. Advances in computer algebra algorithms, in implementations and hardware, together allow the computation of Hamiltonians with higher degree first integrals providing new results in the classic search for integrable models. A computer algebra module enabling related computations in a 3-dimensional vector formalism is described. Springer Science and Business Media Inc., New York, 2006 Hamiltonian systems nationallicence Integrability nationallicence Computer algebra nationallicence General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/6(2006-06-01), 1115-1127 0001-7701 38:6<1115 2006 38 10714 https://doi.org/10.1007/s10714-006-0293-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0293-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Wolf T. Department of Mathematics, Brock University, 500 Glenridge Avenue, St. Catharines, L2S 3A1, Ontario, Canada aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/6(2006-06-01), 1115-1127 0001-7701 38:6<1115 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer