1964
DOI: 10.1090/qam/169746
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A theory of nonlinear networks. I

Abstract: Abstract.This report describes a new approach to nonlinear RLC-networks which is based on the fact that the system of differential equations for such networks has the special form

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Cited by 401 publications
(251 citation statements)
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“…As discussed in Section I, a standard mechanical system can be represented by the Hamiltonian equation set (2). For ease of presentation, we set the external forces τ = 0 and rewrite (2) in a more compact form aṡ…”
Section: The Brayton-moser Equationsmentioning
confidence: 99%
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“…As discussed in Section I, a standard mechanical system can be represented by the Hamiltonian equation set (2). For ease of presentation, we set the external forces τ = 0 and rewrite (2) in a more compact form aṡ…”
Section: The Brayton-moser Equationsmentioning
confidence: 99%
“…Starting from the Hamiltonian equation set, if both the Legendre transformations of Q → F and P → V are considered simultaneously, one obtains H * : F × V → R which appears to be a bona-fide co-Hamiltonian candidate. Hence, based on the latter observation, and in comparison to (2), this would suggest that the 'co-Hamiltonian' equation set, should read:…”
Section: Introductionmentioning
confidence: 99%
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