Lateral overdetermination of the FitzHugh-Nagumo system

被引：8
|
作者：
Cox, S [1 ]
Wagner, A
机构：
[1] Rice Univ, Houston, TX 77005 USA
[2] Rhein Westfal TH Aachen, Inst Math, Aachen, Germany
来源：
INVERSE PROBLEMS | 2004年 / 20卷 / 05期
关键词：
FitzHugh -Nagumo systems - Heat equations - Membrane conductance - Nonlinear conductance;
D O I：
10.1088/0266-5611/20/5/019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The FitzHugh-Nagumo system, composed of a semilinear parabolic equation coupled to a linear ordinary equation, captures the qualitative dynamics of an excitable fibre. The semilinear term encodes the fibre's nonlinear membrane conductance that underlies its excitability. We here establish conditions under which a semilinear term exists that corresponds to specified Neumann data at each end and Dirichlet data at one end.
引用
收藏
页码：1639 / 1647
页数：9
相关论文
共 50 条
  • [11] Limit dynamics for the stochastic FitzHugh-Nagumo system
    Lv, Yan
    Wang, Wei
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 3091 - 3105
  • [12] Stabilization of Solutions to a FitzHugh-Nagumo Type System
    Hilhorst, Danielle
    Rybka, Piotr
    JOURNAL OF STATISTICAL PHYSICS, 2010, 138 (1-3) : 291 - 304
  • [13] Connections between saddles for the Fitzhugh-Nagumo system
    Rocsoreanu, C
    Giurgiteanu, N
    Georgescu, A
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (02): : 533 - 540
  • [14] Stabilization of Solutions to a FitzHugh-Nagumo Type System
    Danielle Hilhorst
    Piotr Rybka
    Journal of Statistical Physics, 2010, 138 : 291 - 304
  • [15] Periodic Solutions of a Periodic FitzHugh-Nagumo System
    Llibre, Jaume
    Vidal, Claudio
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (13):
  • [16] Bifurcation and chaos in discrete FitzHugh-Nagumo system
    Jing, ZJ
    Chang, Y
    Guo, BL
    CHAOS SOLITONS & FRACTALS, 2004, 21 (03) : 701 - 720
  • [17] Unpeeling a Homoclinic Banana in the FitzHugh-Nagumo System
    Carter, Paul
    Sandstede, Bjorn
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2018, 17 (01): : 236 - 349
  • [18] Coherence resonance in a Fitzhugh-Nagumo electronic system
    Brugioni, Stefano
    Hwang, Dong U. K.
    Meucci, Riccardo
    Boccaletti, Stefano
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (10): : 3431 - 3436
  • [19] MICROCONTROLLER BASED MODEL OF FITZHUGH-NAGUMO SYSTEM
    Petrovas, Andrius
    Lisauskas, Saulius
    Slepikas, Alvydas
    ELECTRICAL AND CONTROL TECHNOLOGIES, 2012, : 78 - +
  • [20] Fluidic FitzHugh-Nagumo oscillator
    Fromm, Matthias
    Grundmann, Sven
    Seifert, Avraham
    PHYSICS OF FLUIDS, 2025, 37 (02)
12345