Treatment of higher-order Lagrangians via the construction of dynamically equivalent first-order Lagrangians

DOI10.1063/1.528664zbMath0745.70013OpenAlexW2022671931MaRDI QIDQ4713332

Piotr W. Hebda

Publication date: 25 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528664

zbMATH Keywords

canonical transformationHamiltonian structuresingular Lagrangianhigher-order time derivativesDirac theory of constraintsOstrogradsky dynamics

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamiltonian and Lagrangian mechanics (70H99)

Related Items

Hamiltonian formalism for nonlocal Lagrangians ⋮ Unnamed Item ⋮ Addendum to a dynamical formalism of singular Lagrangian system with higher derivatives

Cites Work

• The Lagrange function in a general problem
• On Dissipative Systems and Related Variational Principles
• A dynamical formalism of singular Lagrangian system with higher derivatives
• Quantization of generalized mechanics
• Quantization of the Generalized Hamiltonian
• Hamiltonian Formalism for General Lagrangian Systems in an Exceptional Case
• Generalized Hamiltonian Dynamics