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A discrete model for studying existence and uniqueness of solutions in nonlinear resistive circuits

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Publication:1326755
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DOI10.1016/0166-218X(92)00152-CzbMath0901.94043MaRDI QIDQ1326755

V. Pereyra

Publication date: 22 November 1998

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.elsevier.com/locate/dam

zbMATH Keywords

existenceuniquenessbranch and boundmatroid intersectionconjugate treesnonlinear electric circuitsorientation in a multigraph


Mathematics Subject Classification ID

Applications of graph theory to circuits and networks (94C15)


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Extension of the normal tree method, What is my objective function?



Cites Work

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  • Matroid theory and its applications in electric network theory and in statics
  • Non-linear op-amp circuits: Existence and uniqueness of solution by inspection
  • Topological criteria for nonlinear resistive circuits containing controlled sources to have a unique solution
  • Algorithmic remarks on the Nishi-Chua uniqueness criterion for electrical networks containing controlled sources
  • Resistive circuit topologies that admit several solutions
  • Non-linear non-reciprocal resistive circuits with a structurally unique solution
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