Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups
Author:
Affiliation:
1. Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), Calle Nicolás Cabrera, 13-15, Madrid, 28049, Madrid, Spain
2. Department of Mathematics, UC San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0112, USA
Abstract
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Control and Optimization,Geometry and Topology,Mechanics of Materials
Reference42 articles.
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3. V. Arnold, On the differential geometry of Lie groups of infinite dimension and its applications to the hydrodynamics of perfect fluids, Ann. Fourier Inst., 16 (1966), 319–361.
4. V. Arnold, Mathematical Methods of Classical Mechanics, vol. 60 of Graduate Texts in Mathematics, Springer-Verlag, 1989, Translated from the 1974 Russian original by K. Vogtmann and A. Weinstein.
5. M. Barbero Liñán, D. Martín de Diego, Bäcklund transformations in discrete variational principles for Lie–Poisson equations, in Discrete Mechanics, Geometric Integration and Lie–Butcher Series (eds. K. Ebrahimi-Fard and M. Barbero Liñán), Springer International Publishing, Cham, 2018,315–332.
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