Piovani, D;
Grujic, J;
Jensen, HJ;
(2016)
Linear stability theory as an early warning sign for transitions in high dimensional complex systems.
Journal of Physics A: Mathematical and Theoretical
, 49
(29)
, Article 295102. 10.1088/1751-8113/49/29/295102.
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Abstract
We analyse in detail a new approach to the monitoring and forecasting of the onset of transitions in high dimensional complex systems by application to the Tangled Nature model of evolutionary ecology and high dimensional replicator systems with a stochastic element. A high dimensional stability matrix is derived in the mean field approximation to the stochastic dynamics. This allows us to determine the stability spectrum about the observed quasi-stable configurations. From overlap of the instantaneous configuration vector of the full stochastic system with the eigenvectors of the unstable directions of the deterministic mean field approximation, we are able to construct a good early-warning indicator of the transitions occurring intermittently.
| Type: | Article |
|---|---|
| Title: | Linear stability theory as an early warning sign for transitions in high dimensional complex systems |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1751-8113/49/29/295102 |
| Publisher version: | https://doi.org/10.1088/1751-8113/49/29/295102 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & Technology, Physical Sciences, Physics, Multidisciplinary, Physics, Mathematical, Physics, forecasting critical transitions, adaptive systems, evolutionary dynamics, replicator system, MODEL, EVOLUTION, EMERGENCE, SELECTION, DYNAMICS, MUTATION |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10067849 |
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