Lagrangian and Hamiltonian formalism for constrained variational problems

DOI10.1017/S0308210500002183zbMath1015.58001arXivmath/0004148OpenAlexW2963675333MaRDI QIDQ4794338

Daniel V. Tausk, Paolo Piccione

Publication date: 20 March 2003

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0004148

zbMATH Keywords

normal geodesicsvakonomic mechanicslinear constraints on the derivativesolutions of Lagrangian variational problems

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Sub-Riemannian geometry (53C17) Optimality conditions for free problems in two or more independent variables (49K10) Nonholonomic dynamical systems (37J60)

Related Items (7)

On the variational mechanics with nonlinear constraints ⋮ Variational integrators in discrete vakonomic mechanics ⋮ Variational integrators in discrete time-dependent optimal control theory ⋮ The Maslov index and some applications to dispersion relations in curved space times ⋮ On the Maslov and the Morse index for constrained variational problems. ⋮ Cartan forms for first order constrained variational problems ⋮ Variational calculus on Lie algebroids

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