Characteristics of period-adding bursting bifurcation without chaos in the Chay neuron model

被引:0
作者
Yang, ZQ [1 ]
Lu, QS
机构
[1] Beijing Univ Aeronaut & Astronaut, Sch Sci, Beijing 100083, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, MOE, LIMB, Beijing 100083, Peoples R China
关键词
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A period-adding bursting sequence without bursting-chaos in the Chay neuron model is studied by bifurcation analysis. The genesis of each periodic bursting is separately evoked by the corresponding periodic spiking patterns through two period-doubling bifurcations, except for the period-1 bursting occurring via Hopf bifurcation. Hence, it is concluded that this period-adding bursting bifurcation without chaos has a compound bifurcation structure closely related to period-doubling bifurcations of periodic spiking in essence.
引用
收藏
页码:2124 / 2127
页数:4
相关论文
共 19 条
[1]   BURSTING, SPIKING, CHAOS, FRACTALS, AND UNIVERSALITY IN BIOLOGICAL RHYTHMS [J].
CHAY, TR ;
FAN, YS ;
LEE, YS .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1995, 5 (03) :595-635
[2]   CHAOS IN A 3-VARIABLE MODEL OF AN EXCITABLE CELL [J].
CHAY, TR .
PHYSICA D, 1985, 16 (02) :233-242
[3]   ELECTRICAL ACTIVITY IN PANCREATIC ISLET CELLS - EFFECT OF IONS [J].
DEAN, PM ;
MATTHEWS, EK .
JOURNAL OF PHYSIOLOGY-LONDON, 1970, 210 (02) :265-&
[4]   Complex nonlinear dynamics of the Hodgkin-Huxley equations induced by time scale changes [J].
Doi, S ;
Nabetani, S ;
Kumagai, S .
BIOLOGICAL CYBERNETICS, 2001, 85 (01) :51-64
[5]   Period-adding and chaos in fluidized bed catalytic reactors [J].
Elnashaie, SSEH ;
Ajbar, A .
CHAOS SOLITONS & FRACTALS, 1996, 7 (08) :1317-1331
[6]   Homoclinical chaos and the period-adding route to complex non-chaotic attractors in fluidized bed catalytic reactors [J].
Elnashaie, SSEH ;
Harraz, HM ;
Abashar, ME .
CHAOS SOLITONS & FRACTALS, 2001, 12 (10) :1761-1792
[7]  
Feng JC, 2002, CHINESE PHYS LETT, V19, P302, DOI 10.1088/0256-307X/19/3/305
[8]  
Holden A. V., 1992, Chaos, Solitons and Fractals, V2, P221, DOI 10.1016/0960-0779(92)90032-I
[9]  
Holden A. V., 1992, Chaos, Solitons and Fractals, V2, P583, DOI 10.1016/0960-0779(92)90055-R
[10]  
Holden A. V., 1992, Chaos, Solitons and Fractals, V2, P349, DOI 10.1016/0960-0779(92)90012-C