NUMERICAL-ANALYSIS OF TRANSIENT-BEHAVIOR IN THE DISCRETE RANDOM LOGISTIC EQUATION WITH DELAY

被引:15
作者
CABRERA, JL
DELARUBIA, FJ
机构
[1] Departamento de Física Fundamental, Universidad a Distancia (UNED), 28080 Madrid
关键词
D O I
10.1016/0375-9601(94)00951-K
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The transient behavior of the discrete logistic equation with delay under parametric noise is numerically studied. Stability domains for different correlation times and intensities of the noise, and different memory strengths are established. An optimal correlation time for the appearance of the transient behavior is obtained.
引用
收藏
页码:19 / 24
页数:6
相关论文
共 13 条
[1]  
AMARI S, 1978, MATH THEORY NERVOUS
[2]   BIFURCATIONS FROM AN INVARIANT CIRCLE FOR 2-PARAMETER FAMILIES OF MAPS OF THE PLANE - A COMPUTER-ASSISTED STUDY [J].
ARONSON, DG ;
CHORY, MA ;
HALL, GR ;
MCGEHEE, RP .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 83 (03) :303-354
[3]   FAST, ACCURATE ALGORITHM FOR NUMERICAL-SIMULATION OF EXPONENTIALLY CORRELATED COLORED NOISE [J].
FOX, RF ;
GATLAND, IR ;
ROY, R ;
VEMURI, G .
PHYSICAL REVIEW A, 1988, 38 (11) :5938-5940
[4]   DEFECTS AND SPACELIKE PROPERTIES OF DELAYED DYNAMICAL-SYSTEMS [J].
GIACOMELLI, G ;
MEUCCI, R ;
POLITI, A ;
ARECCHI, FT .
PHYSICAL REVIEW LETTERS, 1994, 73 (08) :1099-1102
[5]   MULTIPLE-VALUED STATIONARY STATE AND ITS INSTABILITY OF THE TRANSMITTED LIGHT BY A RING CAVITY SYSTEM [J].
IKEDA, K .
OPTICS COMMUNICATIONS, 1979, 30 (02) :257-261
[6]   RANDOM EFFECTS IN POPULATION-MODELS WITH HEREDITARY EFFECTS [J].
LIN, J ;
KAHN, PB .
JOURNAL OF MATHEMATICAL BIOLOGY, 1980, 10 (02) :101-112
[7]   EFFECT OF ADDITIVE AND MULTIPLICATIVE NOISE ON THE 1ST BIFURCATIONS OF THE LOGISTIC MODEL [J].
LINZ, SJ ;
LUCKE, M .
PHYSICAL REVIEW A, 1986, 33 (04) :2694-2703
[8]   NOISE-INDUCED TRANSITIONS AT A HOPF-BIFURCATION IN A 1ST-ORDER DELAY-DIFFERENTIAL EQUATION [J].
LONGTIN, A .
PHYSICAL REVIEW A, 1991, 44 (08) :4801-4813
[9]   OSCILLATION AND CHAOS IN PHYSIOLOGICAL CONTROL-SYSTEMS [J].
MACKEY, MC ;
GLASS, L .
SCIENCE, 1977, 197 (4300) :287-288
[10]   HOPF-BIFURCATION IN THE SIMPLE NONLINEAR RECURRENCE EQUATION X(T+1)=AX(T)[1-X(T-1)] [J].
MORIMOTO, Y .
PHYSICS LETTERS A, 1988, 134 (03) :179-182