Transition prediction in the Ising-model
Dynamical systems can be subject to critical transitions where a system’s state abruptly shifts from one stable equilibrium to another. To a certain extent such transitions can be predicted with a set of methods known as early warning signals. These methods are often developed and tested on systems...
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Public Library of Science (PLoS)
2021
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oai:doaj.org-article:7571bde4d9e5411cbf25aaf1f638b05c2021-11-11T07:14:38ZTransition prediction in the Ising-model1932-6203https://doaj.org/article/7571bde4d9e5411cbf25aaf1f638b05c2021-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC8568180/?tool=EBIhttps://doaj.org/toc/1932-6203Dynamical systems can be subject to critical transitions where a system’s state abruptly shifts from one stable equilibrium to another. To a certain extent such transitions can be predicted with a set of methods known as early warning signals. These methods are often developed and tested on systems simulated with equation-based approaches that focus on the aggregate dynamics of a system. Many ecological phenomena however seem to necessitate the consideration of a system’s micro-level interactions since only there the actual reasons for sudden state transitions become apparent. Agent-based approaches that simulate systems from the bottom up by explicitly focusing on these micro-level interactions have only rarely been used in such investigations. This study compares the performance of a bifurcation estimation method for predicting state transitions when applied to data from an equation-based and an agent-based version of the Ising-model. The results show that the method can be applied to agent-based models and, despite its greater stochasticity, can provide useful predictions about state changes in complex systems.Manfred FüllsackDaniel ReisingerPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 11 (2021) |
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Medicine R Science Q Manfred Füllsack Daniel Reisinger Transition prediction in the Ising-model |
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Dynamical systems can be subject to critical transitions where a system’s state abruptly shifts from one stable equilibrium to another. To a certain extent such transitions can be predicted with a set of methods known as early warning signals. These methods are often developed and tested on systems simulated with equation-based approaches that focus on the aggregate dynamics of a system. Many ecological phenomena however seem to necessitate the consideration of a system’s micro-level interactions since only there the actual reasons for sudden state transitions become apparent. Agent-based approaches that simulate systems from the bottom up by explicitly focusing on these micro-level interactions have only rarely been used in such investigations. This study compares the performance of a bifurcation estimation method for predicting state transitions when applied to data from an equation-based and an agent-based version of the Ising-model. The results show that the method can be applied to agent-based models and, despite its greater stochasticity, can provide useful predictions about state changes in complex systems. |
format |
article |
author |
Manfred Füllsack Daniel Reisinger |
author_facet |
Manfred Füllsack Daniel Reisinger |
author_sort |
Manfred Füllsack |
title |
Transition prediction in the Ising-model |
title_short |
Transition prediction in the Ising-model |
title_full |
Transition prediction in the Ising-model |
title_fullStr |
Transition prediction in the Ising-model |
title_full_unstemmed |
Transition prediction in the Ising-model |
title_sort |
transition prediction in the ising-model |
publisher |
Public Library of Science (PLoS) |
publishDate |
2021 |
url |
https://doaj.org/article/7571bde4d9e5411cbf25aaf1f638b05c |
work_keys_str_mv |
AT manfredfullsack transitionpredictionintheisingmodel AT danielreisinger transitionpredictionintheisingmodel |
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1718439410501943296 |