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arXiv · 2408.00339

Thick attractors with intermingled basins

Abbas Fakhari·Ale Jan Homburg
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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 theory for it and use it in particular to provide examples of thick metric attractors with intermingled basins.

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Abbas Fakhari, Ale Jan Homburg. 2024-08-01. Thick attractors with intermingled basins. https://doi.org/10.1017/etds.2026.10272

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