Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread

DOI10.1088/1751-8121/abbaaaOpenAlexW3087955155MaRDI QIDQ5871135

Manuel de León, Edith Padrón, Alessandro Bravetti, Juan Carlos Marrero

Publication date: 25 January 2023

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

Full work available at URL: https://arxiv.org/abs/2006.15123

zbMATH Keywords

invariant measureLiouville vector fieldReeb dynamicsexact symplectic manifoldcontact Hamiltonian system

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (15)

Nonautonomous k-contact field theories ⋮ Inverse problem and equivalent contact systems ⋮ Orbital dynamics on invariant sets of contact Hamiltonian systems ⋮ Higher-order contact mechanics ⋮ Herglotz action for homogeneous cosmologies ⋮ Scaling symmetries, contact reduction and Poincaré’s dream ⋮ Lagrangian-Hamiltonian formalism for cocontact systems ⋮ Implicit contact dynamics and Hamilton-Jacobi theory ⋮ Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems ⋮ Contact Hamiltonian and Lagrangian systems with nonholonomic constraints ⋮ The Lagrange-Charpit theory of the Hamilton-Jacobi problem ⋮ Constrained Lagrangian dissipative contact dynamics ⋮ The Geometry of Some Thermodynamic Systems ⋮ A geometric approach to the generalized Noether theorem ⋮ Multicontact formulation for non-conservative field theories

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