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A geometric modelling of nonlinear RLC networks
Author(s) -
Ionescu Delia
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610386
Subject(s) - rlc circuit , pfaffian , nonlinear system , resistor , inductor , capacitor , topology (electrical circuits) , mathematics , context (archaeology) , electronic circuit , formalism (music) , physics , engineering , pure mathematics , electrical engineering , quantum mechanics , voltage , art , paleontology , musical , visual arts , biology , combinatorics
A new approach to nonlinear RLC circuits, which is based on the geometric Birkhoffian formalism, is described in this note. The configuration space and a special Pfaffian form, called Birkhoffian, are obtained from the constitutive relations of the involved resistors, inductors and capacitors and from Kirchhoff's laws. No assumptions are placed upon the topology of the network. Properties of the corresponding Birkhoffian such as its regularity, or its dissipativeness, are discussed in this context. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)