@article{Piovani:2016:29/295102,
author = {Piovani, D and Grujic, J and Jensen, HJ},
doi = {29/295102},
journal = {Journal of Physics A - Mathematical and Theoretical},
title = {Linear stability theory as an early warning sign for transitions in high dimensional complex systems},
url = {http://dx.doi.org/10.1088/1751-8113/49/29/295102},
volume = {49},
year = {2016}
}

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TY  - JOUR
AB  - 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.
AU  - Piovani,D
AU  - Grujic,J
AU  - Jensen,HJ
DO  - 29/295102
PY  - 2016///
SN  - 1751-8113
TI  - Linear stability theory as an early warning sign for transitions in high dimensional complex systems
T2  - Journal of Physics A - Mathematical and Theoretical
UR  - http://dx.doi.org/10.1088/1751-8113/49/29/295102
UR  - http://hdl.handle.net/10044/1/37096
VL  - 49
ER  - 

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