Potentials and Limits to Basin Stability Estimation

Autor:	Schultz, Paul, Menck, Peter J., Heitzig, Jobst, Kurths, Jürgen
Rok vydání:	2016
Předmět:	Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
DOI:	10.1088/1367-2630/aa5a7b
Popis:	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. This requires numerical estimation via Monte-Carlo sampling and integration of differential equations. Here, we analyze the applicability of basin stability to systems with basin geometries challenging for this numerical method, having fractal basin boundaries and riddled or intermingled basins of attraction. We find that numerical basin stability estimation is still meaningful for fractal boundaries but reaches its limits for riddled basins with holes. Comment: 5 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1603.01844 Zobrazit plný text záznamu View this record from Arxiv