Second order mem-circuits

Riaza Rodríguez, Ricardo (2015). Second order mem-circuits. "International Journal of Circuit Theory And Applications", v. 43 (n. 11); pp. 1719-1742. ISSN 0098-9886.


Title: Second order mem-circuits
  • Riaza Rodríguez, Ricardo
Item Type: Article
Título de Revista/Publicación: International Journal of Circuit Theory And Applications
Date: November 2015
ISSN: 0098-9886
Volume: 43
Freetext Keywords: Nonlinear circuit;memristor;memcapacitor;meminductor;state-space model;bifurcation;differential-algebraic equation
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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This paper presents a comprehensive taxonomy of so-called second order memory devices, which include charge-controlled memcapacitors and flux-controlled meminductors, among other novel circuit elements. These devices, which are classified according to their differential and state orders, are necessary to get a complete extension of the family of classical nonlinear circuit elements (resistors, capacitors, inductors) for all possible controlling variables. Using a fully nonlinear formalism, we obtain nondegeneracy conditions for a broad class of second order mem-circuits. This class of circuits is expected to yield a rich dynamic behavior; in this regard we explore certain bifurcation phenomena exhibited by a family of circuits including a charge-controlled memcapacitor and a flux-controlled meminductor, providing some directions for future research.

Funding Projects

Government of SpainMTM2010-15102UnspecifiedMinisterio de Ciencia e InnovaciónUnspecified

More information

Item ID: 41192
DC Identifier:
OAI Identifier:
DOI: 10.1002/cta.2037
Official URL:
Deposited by: Memoria Investigacion
Deposited on: 04 Jul 2016 17:31
Last Modified: 01 Dec 2016 23:30
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