The Poincaré-Cartan forms of one-dimensional variational integrals

DOI10.1515/ms-2017-0439zbMath1505.49001OpenAlexW3115624669WikidataQ114052786 ScholiaQ114052786MaRDI QIDQ5145762

Václav Tryhuk, Veronika Chrastinová

Publication date: 21 January 2021

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0439

Mathematics Subject Classification ID

Pfaffian systems (58A17) Constrained dynamics, Dirac's theory of constraints (70H45) Optimality conditions for problems involving ordinary differential equations (49K15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01)

Related Items (1)

On the Lagrange variational problem

Cites Work

• The Lie group in infinite dimension
• Differential form methods in the theory of variational systems and Lagrangian field theories
• Automorphisms of ordinary differential equations
• Automorphisms of Curves
• The symmetry reduction of variational integrals, complement
• The symmetry reduction of variational integrals
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