Survivability of deterministic dynamical systems
dc.bibliographicCitation.journalTitle | Scientific Reports | eng |
dc.bibliographicCitation.volume | 6 | |
dc.contributor.author | Hellmann, Frank | |
dc.contributor.author | Schultz, Paul | |
dc.contributor.author | Grabow, Carsten | |
dc.contributor.author | Heitzig, Jobst | |
dc.contributor.author | Kurths, Jürgen | |
dc.date.accessioned | 2016-07-15T04:16:30Z | |
dc.date.available | 2019-06-28T10:35:23Z | |
dc.date.issued | 2016 | |
dc.description.abstract | The notion of a part of phase space containing desired (or allowed) states of a dynamical system is important in a wide range of complex systems research. It has been called the safe operating space, the viability kernel or the sunny region. In this paper we define the notion of survivability: Given a random initial condition, what is the likelihood that the transient behaviour of a deterministic system does not leave a region of desirable states. We demonstrate the utility of this novel stability measure by considering models from climate science, neuronal networks and power grids. We also show that a semi-analytic lower bound for the survivability of linear systems allows a numerically very efficient survivability analysis in realistic models of power grids. Our numerical and semi-analytic work underlines that the type of stability measured by survivability is not captured by common asymptotic stability measures. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.uri | https://doi.org/10.34657/392 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3878 | |
dc.language.iso | eng | eng |
dc.publisher | London : Nature Publishing Group | eng |
dc.relation.doi | https://doi.org/10.1038/srep29654 | |
dc.rights.license | CC BY 4.0 Unported | eng |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | eng |
dc.subject.ddc | 500 | eng |
dc.subject.other | Complex networks | eng |
dc.subject.other | Nonlinear phenomena | eng |
dc.title | Survivability of deterministic dynamical systems | eng |
dc.type | Article | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | PIK | eng |
wgl.subject | Umweltwissenschaften | eng |
wgl.type | Zeitschriftenartikel | eng |
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