Thick attractors with intermingled basins

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Authors: Abbas Fakhari, Ale Jan Homburg
Cited by: 0
References: 23

Abstract

Abstract We construct various novel and elementary examples of dynamics with metric attractors that have intermingled basins. A main ingredient is the introduction of random walks along orbits of a given dynamical system. We develop the theory and use it in particular to provide examples of thick metric attractors with intermingled basins.

Fields of Study & Subjects

Nonlinear Dynamics and Pattern Formation Fluid Dynamics and Turbulent Flows Plasma and Flow Control in Aerodynamics

Publication details

Journal / source
Ergodic Theory and Dynamical Systems
Publisher
Cambridge University Press (CUP)
Volume
46
Issue
6
Pages
1552–1575
Publication date
23 February 2026
Language
EN