Journal
NEW JOURNAL OF PHYSICS
Volume 19, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/aa5a7b
Keywords
attractor; basin stability; fractal basin boundaries; riddled basins; intermingled basins
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Funding
- BMBF
- CoNDyNet [FK. 03SF0472A]
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Stability assessment methods for dynamical systems have recently been complemented by basin stability and derived measures, i.e. probabilistic statements whether systems remain in a basin of attraction given a distribution of perturbations. Their application requires numerical estimation via Monte Carlo sampling and integration of differential equations. Here, we analyse the applicability of basin stability to systems with basin geometries that are challenging for this numerical method, having fractal basin boundaries and riddled or intermingled basins of attraction. Wefind that numerical basin stability estimation is still meaningful for fractal boundaries but reaches its limits for riddled basins with holes.
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