GRID IMAGING FOR A TWO-DIMENSIONAL MAP

被引：4

作者：

Judd, K. ^{[1
]}

Mees, A. I. ^{[1
]}

Alhara, K. ^{[1
]}

Toyoda, M. ^{[2
]}

机构：

[1] Univ Western Australia, Dept Math, Perth, WA 6009, Australia

[2] Tokyo Denki Univ, Dept Elect Engn, Chiyoda Ku, Tokyo 101, Japan

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1991年 / 1卷 / 01期

关键词：

D O I：

10.1142/S0218127491000129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By examining images of grids as they fold and stretch under the action of two-dimensional maps, we determine the geometry of the maps and use this to study their dynamics and bifurcations. In particular, we explain important features of the complicated dynamics and rich bifurcation structure of a map designed as a model of two coupled neurons.

引用

页码：197 / 210

页数：14

共 8 条

[1] CHAOTIC NEURAL NETWORKS [J].

AIHARA, K ;

TAKABE, T ;

TOYODA, M .

PHYSICS LETTERS A, 1990, 144 (6-7) :333-340

[2]

Aihara K., 1990, BIFURCATION PHENOMEN

[3]

[Anonymous], 1986, COLLAPSE TORI GENESI

[4]

FitzHugh R., 1969, BIOL ENG

[5]

Guckennelmer J., 1983, NONLINEAR OSCILLATIO

[6] 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

[7]

Mees A. I., 1981, DYNAMICS FEEDBACK SY

[8] ACTIVE PULSE TRANSMISSION LINE SIMULATING NERVE AXON [J].

NAGUMO, J ;

ARIMOTO, S ;

YOSHIZAWA, S .

PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1962, 50 (10) :2061-&

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