A geometric Birkhoffian formalism for nonlinear RLC networks

DOI10.1016/J.GEOMPHYS.2006.01.007zbMath1129.34003arXivmath/0609153OpenAlexW1965004903MaRDI QIDQ857409

Delia Ionescu

Publication date: 14 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0609153

zbMATH Keywords

dissipative dynamical systemselectrical networksgeometric methods in differential equationsBirkhoffian differential systemsBirkhoffian vector fields

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Dynamics induced by flows and semiflows (37C10) Jets in global analysis (58A20) Analytic circuit theory (94C05)

Related Items (2)

Liapunov's direct method for Birkhoffian systems: Applications to electrical networks ⋮ Birkhoffian systems in infinite dimensional manifolds

Cites Work

• Graph theory applications
• Implicit Hamiltonian systems with symmetry
• On the mathematical foundations of electrical circuit theory
• Birkhoffian formulation of the dynamics of LC circuits
• An intrinsic Hamiltonian formulation of the dynamics of LC-circuits
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