English
 
Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Potentials and limits to basin stability estimation

Schultz, P., Menck, P. J., Heitzig, J., Kurths, J. (2017): Potentials and limits to basin stability estimation. - New Journal of Physics, 19, 23005.
https://doi.org/10.1088/1367-2630/aa5a7b

Item is

Files

show Files
hide Files
:
7598oa.pdf (Publisher version), 2MB
Name:
7598oa.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show

Creators

show
hide
 Creators:
Schultz, Paul1, Author              
Menck, Peter J.1, Author              
Heitzig, Jobst1, Author              
Kurths, Jürgen1, Author              
Affiliations:
1Potsdam Institute for Climate Impact Research, ou_persistent13              

Content

show
hide
Free keywords: -
 Abstract: 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. We find that numerical basin stability estimation is still meaningful for fractal boundaries but reaches its limits for riddled basins with holes.

Details

show
hide
Language(s):
 Dates: 2017
 Publication Status: Finally published
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1088/1367-2630/aa5a7b
PIKDOMAIN: Transdisciplinary Concepts & Methods - Research Domain IV
eDoc: 7598
Research topic keyword: Nonlinear Dynamics
Research topic keyword: Complex Networks
Research topic keyword: Energy
Model / method: Open Source Software
Organisational keyword: RD4 - Complexity Science
Working Group: Dynamics, stability and resilience of complex hybrid infrastructure networks
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: New Journal of Physics
Source Genre: Journal, SCI, Scopus, p3, oa
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 19 Sequence Number: 23005 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/1911272