DEGENERATE HOPF-BIFURCATION AND NERVE IMPULSE

被引：18

作者：

LABOURIAU, IS ^{[1
]}

机构：

[1] UNIV WARWICK,INST MATH,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1985年 / 16卷 / 06期

关键词：

D O I：

10.1137/0516083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：1121 / 1133

页数：13

共 21 条

[1] CLASSIFICATION AND UNFOLDINGS OF DEGENERATE HOPF BIFURCATIONS [J].

GOLUBITSKY, M ;

LANGFORD, WF .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 41 (03) :375-415

[2] THEORY FOR IMPERFECT BIFURCATION VIA SINGULARITY THEORY [J].

GOLUBITSKY, M ;

SCHAEFFER, D .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1979, 32 (01) :21-98

[3]

GUIMARAES LC, 1980, LECTURE NOTES MATH, V799, P140

[4] CONTROL OF REPETITIVE FIRING IN SQUID AXON MEMBRANE AS A MODEL FOR A NEURONE-OSCILLATOR [J].

GUTTMAN, R ;

LEWIS, S ;

RINZEL, J .

JOURNAL OF PHYSIOLOGY-LONDON, 1980, 305 (AUG) :377-395

[5] BIFURCATION OF PERIODIC-SOLUTIONS OF HODGKIN-HUXLEY MODEL FOR SQUID GIANT-AXON [J].

HASSARD, B .

JOURNAL OF THEORETICAL BIOLOGY, 1978, 71 (03) :401-420

[6] THE DUAL EFFECT OF MEMBRANE POTENTIAL ON SODIUM CONDUCTANCE IN THE GIANT AXON OF LOLIGO [J].

HODGKIN, AL ;

HUXLEY, AF .

JOURNAL OF PHYSIOLOGY-LONDON, 1952, 116 (04) :497-506

[7] A QUANTITATIVE DESCRIPTION OF MEMBRANE CURRENT AND ITS APPLICATION TO CONDUCTION AND EXCITATION IN NERVE [J].

HODGKIN, AL ;

HUXLEY, AF .

JOURNAL OF PHYSIOLOGY-LONDON, 1952, 117 (04) :500-544

[8] CURRENTS CARRIED BY SODIUM AND POTASSIUM IONS THROUGH THE MEMBRANE OF THE GIANT AXON OF LOLIGO [J].

HODGKIN, AL ;

HUXLEY, AF .

JOURNAL OF PHYSIOLOGY-LONDON, 1952, 116 (04) :449-472

[9] THE COMPONENTS OF MEMBRANE CONDUCTANCE IN THE GIANT AXON OF LOLIGO [J].

HODGKIN, AL ;

HUXLEY, AF .

JOURNAL OF PHYSIOLOGY-LONDON, 1952, 116 (04) :473-496

[10]

HOLDEN A, 1983, MATH MED BIOL P BARI

← 1 2 3 →