Singular Lagrangians and precontact Hamiltonian systems

DOI10.1142/s0219887819501585arXiv1904.11429OpenAlexW3106470462WikidataQ127399220 ScholiaQ127399220MaRDI QIDQ6189647

Manuel de León, Manuel Laínz Valcázar

Publication date: 8 February 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11429

zbMATH Keywords

dissipative systemssingular Lagrangianscontact Hamiltonian systemsDirac-Jacobi bracketprecontact systems

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10) Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Contact systems (37J55)

Related Items (12)

Scaling symmetries, contact reduction and Poincaré’s dream ⋮ Unified Lagrangian‐Hamiltonian Formalism for Contact Systems ⋮ Time-dependent contact mechanics ⋮ A variational derivation of the field equations of an action-dependent Einstein-Hilbert Lagrangian ⋮ Contact Lie systems: theory and applications ⋮ Bregman dynamics, contact transformations and convex optimization ⋮ On the geometry of discrete contact mechanics ⋮ A \(K\)-contact Lagrangian formulation for nonconservative field theories ⋮ Optimal control, contact dynamics and Herglotz variational problem ⋮ The Geometry of Some Thermodynamic Systems ⋮ The Herglotz principle and vakonomic dynamics ⋮ Multicontact formulation for non-conservative field theories

Cites Work

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