MEMORY EFFECTS IN DISCRETE DYNAMICAL SYSTEMS

被引：21

作者：

Aicardi, Francesca ^{[1
]}

Invernizzi, Sergio ^{[2
]}

机构：

[1] Int Sch Adv Studies, I-34100 Trieste, Italy

[2] Univ Trieste, Dept Math, I-34100 Trieste, Italy

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1992年 / 2卷 / 04期

关键词：

D O I：

10.1142/S0218127492000458

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f(mu)(s) = mu s(1 - s) be the family of logistic maps with parameter mu, 1 <= mu <= 4. We present a study of the second-order difference equation x(n+1) = f(mu)([1 - epsilon])x(n) + epsilon x(n-1)), 0 <= epsilon <= 1, which reduces to the well-known logistic equation as epsilon = 0.

引用

页码：815 / 830

页数：16

共 33 条

[1]

Arnol'd V.I., 1977, FUNCT ANAL APPL+, V11, P85

[2] BIFURCATIONS FROM AN INVARIANT CIRCLE FOR 2-PARAMETER FAMILIES OF MAPS OF THE PLANE - A COMPUTER-ASSISTED STUDY [J].