Onset of the Gunn effect in semiconductors: Bifurcation analysis and numerical simulations

被引:0
|
作者
Kindelan, M [1 ]
Higuera, FJ [1 ]
Bonilla, LL [1 ]
机构
[1] UNIV POLITECN MADRID, ESCUELA TECN SUPER INGN AERONAUT, E-28040 MADRID, SPAIN
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1996年 / 76卷
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, the onset of the Gunn effect in the classical 1D unipolar drift-diffusion model is investigated through a Hopf bifurcation analysis of the spontaneous current oscillation. It is found that in the case that the dimensionless semiconductor length is of order unity the bifurcation is supercritical, and becomes subcritical for dimensionless lengths above a certain, critical value.
引用
收藏
页码:575 / 576
页数:2
相关论文
共 50 条
  • [21] Hopf bifurcation analysis and numerical simulations in an ODE model of the immune system with positive immune response
    Yafia, Radouane
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (05) : 1359 - 1369
  • [22] Modelling thin-film dewetting on structured substrates and templates:: Bifurcation analysis and numerical simulations
    Thiele, U
    Brusch, L
    Bestehorn, M
    Bär, M
    EUROPEAN PHYSICAL JOURNAL E, 2003, 11 (03): : 255 - 271
  • [23] Modelling thin-film dewetting on structured substrates and templates: Bifurcation analysis and numerical simulations
    U. Thiele
    L. Brusch
    M. Bestehorn
    M. Bär
    The European Physical Journal E, 2003, 11 : 255 - 271
  • [24] BIFURCATION IN TIDAL STREAMS OF SAGITTARIUS DWARF GALAXY: NUMERICAL SIMULATIONS
    Camargo Camargo, Y.
    Casas-Miranda, R.
    VII REUNION DE ASTRONOMIA DINAMICA EN LATINOAMERICA (ADELA 2016), 2018, 50 : 17 - 18
  • [25] Numerical and bifurcation analysis of SIQR model
    Ahmed, Nauman
    Raza, Ali
    Rafiq, Muhammad
    Ahmadian, Ali
    Batool, Namra
    Salahshour, Soheil
    CHAOS SOLITONS & FRACTALS, 2021, 150
  • [26] Local numerical analysis of Hopf bifurcation
    Janovsky, V
    Plechac, P
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1996, 33 (03) : 1150 - 1168
  • [27] A numerical toolbox for homoclinic bifurcation analysis
    Champneys, AR
    Kuznetsov, YA
    Sandstede, B
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (05): : 867 - 887
  • [28] Numerical Bifurcation Analysis of PDEs From Lattice Boltzmann Model Simulations: a Parsimonious Machine Learning Approach
    Galaris, Evangelos
    Fabiani, Gianluca
    Gallos, Ioannis
    Kevrekidis, Ioannis
    Siettos, Constantinos
    JOURNAL OF SCIENTIFIC COMPUTING, 2022, 92 (02)
  • [29] Numerical Bifurcation Analysis of PDEs From Lattice Boltzmann Model Simulations: a Parsimonious Machine Learning Approach
    Evangelos Galaris
    Gianluca Fabiani
    Ioannis Gallos
    Ioannis Kevrekidis
    Constantinos Siettos
    Journal of Scientific Computing, 2022, 92
  • [30] Observations and Numerical Simulations of the Onset and Growth of Langmuir Circulations
    Andriatis, Alexander
    Lenain, Luc
    Alford, Matthew H.
    Winstead, Nathaniel
    Geiman, Joseph
    JOURNAL OF PHYSICAL OCEANOGRAPHY, 2024, 54 (08) : 1737 - 1763