Noise-induced attractor annihilation in the delayed feedback logistic map

Pisarchik, Alexander N. and Martínez Zérega, Brenda Esmeralda (2013). Noise-induced attractor annihilation in the delayed feedback logistic map. "Physics Letters A", v. 377 (n. 42); pp. 3016-3020. ISSN 0375-9601. https://doi.org/10.1016/j.physleta.2013.09.022.

Description

Title: Noise-induced attractor annihilation in the delayed feedback logistic map
Author/s:
  • Pisarchik, Alexander N.
  • Martínez Zérega, Brenda Esmeralda
Item Type: Article
Título de Revista/Publicación: Physics Letters A
Date: 6 December 2013
ISSN: 0375-9601
Volume: 377
Subjects:
Faculty: Centro de Tecnología Biomédica (CTB) (UPM)
Department: Otro
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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.

More information

Item ID: 32167
DC Identifier: http://oa.upm.es/32167/
OAI Identifier: oai:oa.upm.es:32167
DOI: 10.1016/j.physleta.2013.09.022
Official URL: http://www.sciencedirect.com/science/article/pii/S0375960113008487
Deposited by: Memoria Investigacion
Deposited on: 05 May 2015 18:40
Last Modified: 06 Dec 2015 23:56
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