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A K-contact Lagrangian formulation for nonconservative field theories

Jordi Gaset, Xavier Gràcia, Miguel C. Muñoz-Lecanda, Xavier Rivas, Narciso Román-Roy

2021Reports on Mathematical Physics33 citationsDOIOpen Access PDF

Topics & Concepts

Covariant transformationDissipative systemMathematicsDissipationLagrangianConservation lawHamiltonian (control theory)Vector fieldClassical mechanicsCovariant Hamiltonian field theoryHomogeneous spaceInverse problem for Lagrangian mechanicsHamiltonian mechanicsField (mathematics)Euclidean spaceCanonical coordinatesEuclidean geometryMathematical physicsInverseHamiltonian systemPartial differential equationDifferential formMathematical analysisConservative forceSpace (punctuation)Noether's theoremDifferential equationLagrangian and Eulerian specification of the flow fieldCanonical formNonholonomic systemLagrangian mechanicsGauge symmetryString field theoryLagrangian systemSubmanifoldAmbient spaceControl and Stability of Dynamical SystemsStability and Controllability of Differential EquationsQuantum chaos and dynamical systems
A K-contact Lagrangian formulation for nonconservative field theories | Litcius