Fractal basin boundaries
type: Item
instance of: scholarly article
title: Fractal basin boundaries
zbMATH Open document ID: 0588.58033
DOI: 10.1016/0167-2789(85)90001-6
author: Steven W. McDonald
author: C. Grebogi
author: Edward Ott
author: James A. Yorke
published in: Physica D
publication date: 1985-01-01T00:00:00Z
review text: Basin boundaries for dynamical systems can be either smooth or fractal. This paper investigates fractal basin boundaries. One practical consequence of such boundaries is that they can lead to great difficulty in predicting to which attractor a system eventually goes. The structure of fractal basin boundaries can be classified as being either locally connected or locally disconnected. Examples and discussion of both types of structures are given, and it appears that fractal basin boundaries should be common in typical dynamical systems. Lyapunov numbers and the dimension for the measure generated by inverse orbits are also discussed.
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 3944900
MaRDI profile type: Publication
full work available at URL: 0167-2789(85)90001-6
OpenAlex ID: W2032259428
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description: scientific article; zbMATH DE number 3944900