Computing ODE symmetries as abnormal variational symmetries

DOI10.1016/j.na.2008.10.009zbMath1238.49003arXiv0804.0925OpenAlexW2058507516WikidataQ57651155 ScholiaQ57651155MaRDI QIDQ419725

Paulo D. F. Gouveia, Delfim F. M. Torres

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0925

zbMATH Keywords

abnormalityoptimal controlcomputer algebra systemssymmetriesODEsvariational symmetriesdynamic symmetries

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Optimality conditions for problems involving ordinary differential equations (49K15) Software, source code, etc. for problems pertaining to calculus of variations and optimal control (49-04) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (4)

Unnamed Item ⋮ A complex Noether approach for variational partial differential equations ⋮ Two-dimensional systems that arise from the Noether classification of Lagrangians on the line ⋮ Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem

Uses Software

• SYMMGRP
• PDEtools

Cites Work

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• Computer algebra solving second order ODEs using symmetry methods
• A computational approach for the analytical solving of partial differential equations
• The calculus of variations
• Full symmetry algebra for ODEs and control systems
• Noether's theorem for optimum control systems
• Computação Algébrica no Cálculo das Variações: Determinação de Simetrias e Leis de Conservação

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