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Basis Independence of Implicitly Defined Hamiltonian Circuit Dynamics

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Mathematics Across Contemporary Sciences (AUS-ICMS 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 190))

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Abstract

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.

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Correspondence to Jon Pierre Fortney .

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Fortney, J.P. (2017). Basis Independence of Implicitly Defined Hamiltonian Circuit Dynamics. In: Abualrub, T., Jarrah, A., Kallel, S., Sulieman, H. (eds) Mathematics Across Contemporary Sciences. AUS-ICMS 2015. Springer Proceedings in Mathematics & Statistics, vol 190. Springer, Cham. https://doi.org/10.1007/978-3-319-46310-0_5

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