Partially nearly riddled basins in systems with chaotic saddle
type: Item
instance of: scholarly article
title: Partially nearly riddled basins in systems with chaotic saddle
zbMATH Open document ID: 1005.37014
DOI: 10.1016/S0960-0779(00)00209-5
author: Tomasz Kapitaniak
published in: Chaos, Solitons and Fractals
publication date: 2002-06-13T00:00:00Z
review text: The author deals with the basin of attraction, that is, the basin which contains open sets but with a special property, can occur in coupled systems with at least two co-existing attractors. This pecularity is caused by the existence of a region in the phase space in which small open sets which belong to the basins of different co-existing attractors are intermingled. These sets are open as preimages of the large open sets located in the neighborhoods of the attractors (for example its immediate basins), but on the other hand so small that in the relatively small (in comparison with the noise level) neighborhood of any point in them there are points which belong to the basin of different attractor.
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 1755340
zbMATH Keywords: chaotic saddle
zbMATH Keywords: coupled systems
zbMATH Keywords: basin of attraction
zbMATH Keywords: co-existing attractors
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1755340