Title

Basis independence of implicitly defined hamiltonian circuit dynamics

Author First name, Last name, Institution

Jon Pierre Fortney, Zayed University

Document Type

Conference Proceeding

Source of Publication

Springer Proceedings in Mathematics and Statistics

Publication Date

1-1-2017

Abstract

© Springer International Publishing Switzerland 2017. The Bloch-Crouch formulation of LC-circuit dynamics is seen to be an implicitly defined Hamiltonian system on a particular manifold. A particular basis independent Dirac structure is shown to be equivalent to the hybrid input-output representation of the Dirac structure used by Bloch and Crouch thereby allowing circuit dynamics to be written in a basis independent fashion.

ISBN

9783319463094

ISSN

2194-1009

Publisher

Springer New York LLC

Volume

190

First Page

77

Last Page

90

Disciplines

Life Sciences

Keywords

Circuit theory, Dirac structures, Hamiltonian dynamics, Implicitly defined Hamiltonian systems, LCR circuits

Scopus ID

85012257253

Indexed in Scopus

yes

Open Access

no

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