Infinitesimal symmetries in contact Hamiltonian systems

DOI10.1016/j.geomphys.2020.103651zbMath1454.37061arXiv1909.07892OpenAlexW2973498737MaRDI QIDQ2186785

Manuel de León, Manuel Laínz Valcázar

Publication date: 9 June 2020

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

Full work available at URL: https://arxiv.org/abs/1909.07892

zbMATH Keywords

Noether theoreminfinitesimal symmetriescontact Hamiltonian systemscontact Lagrangian systemsdissipated quantitiesHerglotz equations

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Contact systems (37J55) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Symmetries and invariants of dynamical systems (37C79)

Related Items (19)

Orbital dynamics on invariant sets of contact Hamiltonian systems ⋮ Higher-order contact mechanics ⋮ Scaling symmetries, contact reduction and Poincaré’s dream ⋮ Unified Lagrangian‐Hamiltonian Formalism for Contact Systems ⋮ Symmetries, Conservation and Dissipation in Time‐Dependent Contact Systems ⋮ Lie integrability by quadratures for symplectic, cosymplectic, contact and cocontact Hamiltonian systems ⋮ Contact Lie systems: theory and applications ⋮ Implicit contact dynamics and Hamilton-Jacobi theory ⋮ New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries ⋮ Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems ⋮ Contact geometry for simple thermodynamical systems with friction ⋮ On the geometry of discrete contact mechanics ⋮ Contact Hamiltonian and Lagrangian systems with nonholonomic constraints ⋮ Aubry-Mather theory for contact Hamiltonian systems. II ⋮ Constrained Lagrangian dissipative contact dynamics ⋮ The Geometry of Some Thermodynamic Systems ⋮ Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread ⋮ A geometric approach to the generalized Noether theorem ⋮ The Herglotz principle and vakonomic dynamics

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