Noise-induced attractor annihilation in the delayed feedback logistic map

被引：11

作者：

Pisarchik, A. N. ^{[1
,2
]}

Martinez-Zerega, B. E. ^{[3
]}

机构：

[1] Ctr Invest Opt, Guanajuato, Mexico

[2] Tech Univ Madrid, Ctr Biomed Technol, Madrid, Spain

[3] Univ Guadalajara, Ctr Univ Lagos, Lagos De Moreno 47460, Jalisco, Mexico

来源：

PHYSICS LETTERS A | 2013年 / 377卷 / 42期

关键词：

AMPLIFICATION; MODEL; RESONANCE; MULTISTABILITY; DYNAMICS; CHAOS;

D O I：

10.1016/j.physleta.2013.09.022

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study dynamics of the bistable logistic map with delayed feedback, under the influence of white Gaussian noise and periodic modulation applied to the variable. This system may serve as a model to describe population dynamics under finite resources in noisy environment with seasonal fluctuations. While a very small amount of noise has no effect on the global structure of the coexisting attractors in phase space, an intermediate noise totally eliminates one of the attractors. Slow periodic modulation enhances the attractor annihilation. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：3016 / 3020

页数：5

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