Transients in a time-dependent logistic map

We study the one-dimensional logistic map with parametric perturbation. Using a small periodic function as the perturbation, new attractors may appear. Beside these new attractors, complex attractors exist and are responsible for transients in many trajectories. We observe that each one of these transients is characterized by a power law decay. We find the exponent related to this decay.

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Year of publication:	2001
Authors:	Leonel, Edson D ; Kamphorst Leal da Silva, J ; Oliffson Kamphorst, S
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 295.2001, 1, p. 280-284
Publisher:	Elsevier
Subject:	Chaos \| Transient \| Attractor \| Basin of attraction

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010591466