An advanced design method of bursting in FitzHugh-Nagumo model

被引：0

作者：

Tsuji, S ^{[1
]}

Ueta, T ^{[1
]}

Kawakami, H ^{[1
]}

Aihara, K ^{[1
]}

机构：

[1] Univ Tokushima, Fac Engn, Tokushima 7708506, Japan

来源：

2002 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL I, PROCEEDINGS | 2002年

关键词：

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Spiking and bursting observed in nerve membranes seem to be important when we investigate information representation model in the brain. Many topologically different bursting responses are observed in the mathematical models and their related bifurcation mechanisms have been clarified. In this paper, we propose an advanced design method to generate bursting responses in FitzHugh-Nagumo(FHN) model with a simple periodic external force based on bifurcation analysis. Some effective parameter perturbations for the amplitude of the external input are given from the 2-parameter bifurcation diagram. A forced BVP oscillator as an analogy of FHN model indicates an expected type of bursting. We show its laboratory experiments.

引用

页码：389 / 392

页数：4

共 50 条

[1] Symmetric bursting behaviors in the generalized FitzHugh-Nagumo model
Abbasian, A. H.
Fallah, H.
Razvan, M. R.
BIOLOGICAL CYBERNETICS, 2013, 107 (04) : 465 - 476
[2] A design method of bursting using two-parameter bifurcation diagrams in FitzHugh-Nagumo model
Tsuji, S
Ueta, T
Kawakami, H
Aihara, K
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (07): : 2241 - 2252
[3] Spiking and bursting of a fractional order of the modified FitzHugh-Nagumo neuron model
Alidousti J.
Ghaziani R.K.
Mathematical Models and Computer Simulations, 2017, 9 (3) : 390 - 403
[4] COMPENSATOR DESIGN FOR THE MONODOMAIN EQUATIONS WITH THE FITZHUGH-NAGUMO MODEL
Breiten, Tobias
Kunisch, Karl
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2017, 23 (01) : 241 - 262
[5] Compensator design for the monodomain equations with the fitzhugh-nagumo model
Institute for Mathematics and Scientic Computing, Karl-Franzens-Universität, Heinrichstr. 36, Graz
8010, Austria
不详
4040, Austria
Control Optimisation Calc. Var.,
[6] Spike transitions in the FitzHugh-Nagumo model
Biscari, P.
Lelli, C.
EUROPEAN PHYSICAL JOURNAL PLUS, 2011, 126 (02): : 1 - 9
[7] Global bifurcations in FitzHugh-Nagumo model
Georgescu, A
Rocsoreanu, C
Giurgiteanu, N
BIFURCATION, SYMMETRY AND PATTERNS, 2003, : 197 - 202
[8] Electronic Model of FitzHugh-Nagumo Neuron
Petrovas, A.
Lisauskas, S.
Slepikas, A.
ELEKTRONIKA IR ELEKTROTECHNIKA, 2012, 122 (06) : 117 - 120
[9] Microscopic model for FitzHugh-Nagumo dynamics
Malevanets, A
Kapral, R
PHYSICAL REVIEW E, 1997, 55 (05): : 5657 - 5670
[10] Meromorphic solutions in the FitzHugh-Nagumo model
Demina, Maria V.
Kudryashov, Nikolay A.
APPLIED MATHEMATICS LETTERS, 2018, 82 : 18 - 23

← 1 2 3 4 5 →