An integrative quantifier of multistability in complex systems based on ecological resilience

Chiranjit Mitra, Jurgen Kurths, Reik V Donner

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Abstract

The abundance of multistable dynamical systems calls for an appropriate quantification of the respective stability of the (stable) states of such systems. Motivated by the concept of ecological resilience, we propose a novel and pragmatic measure called ‘integral stability’ which integrates different aspects commonly addressed separately by existing local and global stability concepts. We demonstrate the potential of integral stability by using exemplary multistable dynamical systems such as the damped driven pendulum, a model of Amazonian rainforest as a known climate tipping element and the Daisyworld model. A crucial feature of integral stability lies in its potential of arresting a gradual loss of the stability of a system when approaching a tipping point, thus providing a potential early-warning signal sufficiently prior to a qualitative change of the system’s dynamics.
Original languageEnglish
Article number16196
Number of pages10
JournalScientific Reports
Volume5
Early online date5 Nov 2015
DOIs
Publication statusPublished - Nov 2015

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resilience
complex systems
dynamical systems
warning systems
pendulums
climate

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An integrative quantifier of multistability in complex systems based on ecological resilience. / Mitra, Chiranjit; Kurths, Jurgen; Donner, Reik V.

In: Scientific Reports, Vol. 5, 16196, 11.2015.

Research output: Contribution to journalArticle

Mitra, Chiranjit ; Kurths, Jurgen ; Donner, Reik V. / An integrative quantifier of multistability in complex systems based on ecological resilience. In: Scientific Reports. 2015 ; Vol. 5.
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