Transients in a time-dependent logistic map

Edson D Leonel, J Kamphorst Leal da Silva and S Oliffson Kamphorst

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 1, 280-284

Abstract: 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.

Keywords: Chaos; Transient; Attractor; Basin of attraction (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:295:y:2001:i:1:p:280-284

DOI: 10.1016/S0378-4371(01)00088-7

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