Memorias de investigación
Artículos en revistas:
SADDLE-NODE BIFURCATIONS IN CLASSICAL AND MEMRISTIVE CIRCUITS
Año:2016
Áreas de investigación
  • Teoría de la bifurcación,
  • Circuitos electrónicos
Datos
Descripción
This paper addresses a systematic characterization of saddle-node bifurcations in nonlinear electrical and electronic circuits. Our approach is a circuit-theoretic one, meaning that the bifurcation is analyzed in terms of the devices? characteristics and the graph-theoretic properties of the digraph underlying the circuit. The analysis is based on a reformulation of independent interest of the saddle-node theorem of Sotomayor for semiexplicit index one differential-algebraic equations (DAEs), which define the natural context to set up nonlinear circuit models. The bifurcation is addressed not only for classical circuits, but also for circuits with memristors. The presence of this device systematically leads to non-isolated equilibria, and in this context the saddle-node bifurcation is shown to yield a bifurcation of manifolds of equilibria; in cases with a single memristor, this phenomenon describes the splitting of a line of equilibria into two, with different stability properties.
Internacional
Si
JCR del ISI
Si
Título de la revista
International Journal of Bifurcation And Chaos
ISSN
0218-1274
Factor de impacto JCR
1,355
Información de impacto
Volumen
26
DOI
10.1142/S0218127416500644
Número de revista
4
Desde la página
1650064-1
Hasta la página
1650064-18
Mes
ABRIL
Ranking
22/63 en la categoría Multidisciplinary Sciences, JCR 2015
Esta actividad pertenece a memorias de investigación
Participantes
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Departamento: Matemática Aplicada a Las Tecnologías de la Información y Las Comunicaciones