Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics

DOI10.1093/IMAMCI/DNAA015zbMath1486.82033OpenAlexW3045873346MaRDI QIDQ5157879

Hiroaki Yoshimura, François Gay-Balmaz

Publication date: 20 October 2021

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamci/dnaa015

zbMATH Keywords

Dirac structuresinterconnectionopen systemsnonequilibrium thermodynamicsLagrange-d'Alembert equationsPontryagin bundleport-Lagrangian and port-Dirac systemstime-dependent nonholonomic systems

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60)

Related Items (4)

Infinite dimensional Lagrange-Dirac mechanics with boundary conditions ⋮ Hamiltonian variational formulation for non-simple thermodynamic systems ⋮ Interconnection of Lagrange–Dirac systems through nonstandard interaction structures ⋮ Dirac structures in thermodynamics of non-simple systems

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