Stability breakdown along a line of equilibria in nonlinear circuits with memristors

Riaza Rodríguez, Ricardo (2015). Stability breakdown along a line of equilibria in nonlinear circuits with memristors. En: "The 2015 International Conference on Mathematical Methods, Mathematical Models and Simulation in Science and Engineering (MMSSE)", 15/03/2015 - 17/03/2015, Vienna, Austria. pp. 79-82.

Descripción

Título: Stability breakdown along a line of equilibria in nonlinear circuits with memristors
Autor/es:
  • Riaza Rodríguez, Ricardo
Tipo de Documento: Ponencia en Congreso o Jornada (Artículo)
Título del Evento: The 2015 International Conference on Mathematical Methods, Mathematical Models and Simulation in Science and Engineering (MMSSE)
Fechas del Evento: 15/03/2015 - 17/03/2015
Lugar del Evento: Vienna, Austria
Título del Libro: The 2015 International Conference on Mathematical Methods, Mathematical Models and Simulation in Science and Engineering (MMSSE)
Fecha: 2015
Materias:
Palabras Clave Informales: Nonlinear circuit, memristor, equilibrium, stability, normal hyperbolicity, bifurcation
Escuela: E.T.S.I. Telecomunicación (UPM)
Departamento: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

The design in 2008 of a device with a memristive characteristic has had a great impact in electronics, specially at the nanometer scale. This device, whose existence was predicted by Leon Chua in 1971 for symmetry reasons, is governed in a flux-controlled setting by a relation of the form i = W(ϕ)v, and systematically leads to the presence of non-isolated equilibria. In this communication we examine how the stability of such manifolds of equilibria may break down when normal hyperbolicity fails. This phenomenon may be due to the transition of an eigenvalue either through the origin or through infinity. Our approach is a graph-theoretic one, aiming at the analysis of such phenomena in terms of the topology of the digraph underlying the circuit.

Más información

ID de Registro: 42454
Identificador DC: http://oa.upm.es/42454/
Identificador OAI: oai:oa.upm.es:42454
URL Oficial: http://www.inase.org/library/2015/vienna/bypaper/MAPUR/MAPUR-10.pdf
Depositado por: Memoria Investigacion
Depositado el: 17 Jul 2016 10:11
Ultima Modificación: 17 Jul 2016 10:11
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