Symmetries and first integrals of time-dependent higher-order constrained systems

DOI10.1016/0393-0440(95)00002-XzbMath0870.58025WikidataQ128021974 ScholiaQ128021974MaRDI QIDQ679526

Olga Krupková

Publication date: 22 September 1997

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

symmetryEuler-Lagrange equationsLagrangianNoether theoremconstrained systeminvariant transformationconstant of motionPoincaré-Cartan formHamilton extremalLepagean 2-formthe first variation formula

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03)

Related Items

Unified formalism for higher order non-autonomous dynamical systems

Cites Work

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• Noether's theorem for singular Lagrangians
• Dynamical symmetries in constrained systems: A Lagrangian analysis
• A geometric theory of ordinary first order variational problems in fibered manifolds. II: Invariance
• Noether equations and conservation laws
• The Hamilton-Cartan formalism in the calculus of variations
• Symmetries and constants of motion for constrained Lagrangian systems: a presymplectic version of the Noether theorem
• Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation
• On the quantization of constrained generalized dynamics
• On the Existence of Global Variational Principles
• Higher-order Noether symmetries and constants of the motion
• Generalizations of Noether’s Theorem in Classical Mechanics
• GENERALIZED LAGRANGIAN DYNAMICS AND NOETHERIAN SYMMETRIES
• A geometric setting for higher-order Dirac–Bergmann theory of constraints