Basis Independence of Implicitly Defined Hamiltonian Circuit Dynamics

DOI10.1007/978-3-319-46310-0_5zbMath1364.70030OpenAlexW2581085121MaRDI QIDQ5268904

Jon Pierre Fortney

Publication date: 21 June 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-46310-0_5

zbMATH Keywords

Dirac structuresHamiltonian dynamicscircuit theoryimplicitly defined Hamiltonian systemsLCR circuits

Mathematics Subject Classification ID

Hamilton's equations (70H05) Applications of differential geometry to physics (53Z05) Analytic circuit theory (94C05) Constrained dynamics, Dirac's theory of constraints (70H45)

Cites Work

• Unnamed Item
• Unnamed Item
• Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems
• Dirac structures in Lagrangian mechanics. II: Variational structures
• Implicit Hamiltonian systems with symmetry
• On the mathematical foundations of electrical circuit theory
• On Representations and Integrability of Mathematical Structures in Energy-Conserving Physical Systems
• Dirac Manifolds
• An intrinsic Hamiltonian formulation of the dynamics of LC-circuits
• Symmetry and reduction in implicit generalized Hamiltonian systems

This page was built for publication: Basis Independence of Implicitly Defined Hamiltonian Circuit Dynamics