On the implications of capacitor-only cutsets and inductor-only loops in nonlinear networks

DOI10.1109/TCS.1979.1084576zbMath0428.94014OpenAlexW2102092355MaRDI QIDQ3866016

Atsuhiro Makino, Leon O. Chua, Takashi Matsumoto

Publication date: 1979

Published in: IEEE Transactions on Circuits and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tcs.1979.1084576

zbMATH Keywords

continuum of equilibriacapacitor-only cutsetsinductor-only loopsnonautonomous networksassociated resistive subnetworkautonomous dynamic nonlinear networkbehaviour of trajectorieseventually passive networksminimal dynamic space

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Analytic circuit theory (94C05) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (10)

Qualitative features of matrix pencils and DAEs arising in circuit dynamics ⋮ Geometric properties of nonlinear networks containing capacitor-only cutsets and/or inductor-only loops. II: Symmetries ⋮ Transcritical Bifurcation without Parameters in Memristive Circuits ⋮ Dynamical properties of electrical circuits with fully nonlinear memristors ⋮ GRAPH-THEORETIC CHARACTERIZATION OF BIFURCATION PHENOMENA IN ELECTRICAL CIRCUIT DYNAMICS ⋮ Augmented nodal matrices and normal trees ⋮ DAEs in Circuit Modelling: A Survey ⋮ The hyperbolicity problem in electrical circuit theory ⋮ Taxicab geometry in table of higher-order elements ⋮ Geometric properties of nonlinear networks containing capacitor-only cutsets and/or inductor-only loops. I: Conservation laws

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