HOPF-BIFURCATION AND TRANSITION TO CHAOS IN LOTKA-VOLTERRA EQUATION

被引:29
作者
GARDINI, L
LUPINI, R
MESSIA, MG
机构
关键词
D O I
10.1007/BF00275811
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
引用
收藏
页码:259 / 272
页数:14
相关论文
共 16 条
[1]   STRANGE ATTRACTORS IN VOLTERRA-EQUATIONS FOR SPECIES IN COMPETITION [J].
ARNEODO, A ;
COULLET, P ;
PEYRAUD, J ;
TRESSER, C .
JOURNAL OF MATHEMATICAL BIOLOGY, 1982, 14 (02) :153-157
[2]   ON THE STABILITY OF EQUILIBRIA IN METABOLIC FEEDBACK-SYSTEMS [J].
BERDING, C ;
HAUBS, G .
JOURNAL OF MATHEMATICAL BIOLOGY, 1985, 22 (03) :349-352
[3]   DYNAMICS OF A GAS-MIXTURE IN AN EXTENDED KINETIC-THEORY [J].
BOFFI, VC ;
FRANCESCHINI, V ;
SPIGA, G .
PHYSICS OF FLUIDS, 1985, 28 (11) :3232-3236
[4]  
CARR J, 1981, APPL CTR MANIFOLD TH
[5]   ASYMPTOTIC BEHAVIORS IN THE DYNAMICS OF COMPETING SPECIES [J].
COSTE, J ;
PEYRAUD, J ;
COULLET, P .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1979, 36 (03) :516-543
[6]  
Goh B., 1980, MANAGEMENT ANAL BIOL, P9
[7]   GLOBAL STABILITY IN MANY-SPECIES SYSTEMS [J].
GOH, BS .
AMERICAN NATURALIST, 1977, 111 (977) :135-143
[8]  
Goodwin R. M., 1967, SOCIALISM CAPITALISM, P54
[9]  
HEIKES KE, 1980, NONLINEAR DYNAMICS
[10]  
Hofbauer J., 1988, DYNAMICAL SYSTEMS TH