On the affine nonlinearity in circuit theory

Konferenz: NDES 2012 - Nonlinear Dynamics of Electronic Systems
11.07.2012 - 13.07.2012 in Wolfenbüttel, Germany

Tagungsband: NDES 2012

Seiten: 4Sprache: EnglischTyp: PDF

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Gluskin, Emanuel (The Kinneret College on the Sea of Galilee and Ort Braude College (Carmiel), Israel)

Affine dependence represents a well definable and most commonly met nonlinearity to which, however, usually, no attention is paid. In fact, this nonlinearity exists only in system theory and is linearity in analytical geometry, which is explained by the fact that circuit's power-activity has no direct analogy in the geometry. We also associate ([1], these Proceedings) the affine nonlinearity (ANN) of some 1- ports, obtained via deriving and mutually connecting Thevenin's equivalents, with an analysis of the "structural complexity" (i.e. "entropy") of a system. The Thevenin's contraction is thus used in [1] as some repeatable operation associated with an (algebraic) ideal in a circuit modeling of the growing of some biological structures.