Moving Frames and Conservation Laws for Euclidean Invariant Lagrangians

DOI10.1111/j.1467-9590.2012.00566.xzbMath1308.37030arXiv1106.3964OpenAlexW3122484220MaRDI QIDQ4917507

Tânia Gonçalves, Elizabeth L. Mansfield

Publication date: 30 April 2013

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3964

Mathematics Subject Classification ID

Group actions and symmetry properties (58D19)

Related Items

On the reduction of nonlinear mechanical systems via moving frames: a bead on a rotating wire hoop and a spinning top, Equivalence of one-dimensional second-order linear finite difference operators, Moving frames: difference and differential-difference Lagrangians, Discrete moving frames on lattice varieties and lattice-based multispaces, MOVING FRAMES AND NOETHER’S CONSERVATION LAWS—THE GENERAL CASE, Unnamed Item, Symmetry Reduction of Ordinary Differential Equations Using Moving Frames, Recursive moving frames for Lie pseudo-groups, Using Lie group integrators to solve two and higher dimensional variational problems with symmetry, Symmetry reduction of ordinary finite difference equations using moving frames

Uses Software

• Maple
• AIDA

Cites Work

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• Moving coframes. II: Regularization and theoretical foundations
• Moving coframes. I: A practical algorithm
• Invariant Euler--Lagrange equations and the invariant variational bicomplex
• On Moving Frames and Noether’s Conservation Laws
• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti