Anisotropic properties of riddled basins
Ashwin, Peter; Breakspear, Michael
Date: 19 February 2001
Journal
Physics Letters A
Publisher
Elsevier
Publisher DOI
Abstract
We consider some general properties of chaotic attractors with riddled basins of attraction (basins with positive measure but
open dense complements) in dynamical systems with symmetries. We investigate how a basin of attraction can be riddled in
some directions and not in others if the attractor is contained in the intersection of ...
We consider some general properties of chaotic attractors with riddled basins of attraction (basins with positive measure but
open dense complements) in dynamical systems with symmetries. We investigate how a basin of attraction can be riddled in
some directions and not in others if the attractor is contained in the intersection of several invariant subspaces. This means that
the extreme sensitivity to added noise (bubbling) associated with riddled basin attractors is in fact strongly dependent on the
nature of the noise. We discuss examples of this for systems of globally coupled maps.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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