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Main Author: Ghil, Michael
Format: Recurso digital
Language:English
Published: Zenodo 2024
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Online Access:https://doi.org/10.4401/ag-9182
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author Ghil, Michael
author_facet Ghil, Michael
contents <p>Boolean delay equations (BDEs) are equations with discrete variables evolving in continuous time. They serve as exploratory tools in the study of nonlinear and complex systems. In this review paper, we outline their formulation and illustrate their properties by application to a solid-earth problem and a climate one. The first problem is the seismotectonic description and prediction of earthquakes and of their clustering. The second one is that of the coupled atmosphere-ocean phenomenon of the El Niño-Southern Oscillation (ENSO). Both involve irregular behavior that is hard to predict, although some form of cyclicity is present in both, especially in ENSO. The paper concludes with broad perspectives on the further use of BDEs in the geosciences and elsewhere.</p>
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language eng
publishDate 2024
publisher Zenodo
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spellingShingle Boolean Delay Equations: a dynamical approach to modeling complex systems
Ghil, Michael
boolean delay equations (BDEs)
solid-earth problem
climate problem
nonlinear and complex systems
modeling complex systems
geoscience
climate science
<p>Boolean delay equations (BDEs) are equations with discrete variables evolving in continuous time. They serve as exploratory tools in the study of nonlinear and complex systems. In this review paper, we outline their formulation and illustrate their properties by application to a solid-earth problem and a climate one. The first problem is the seismotectonic description and prediction of earthquakes and of their clustering. The second one is that of the coupled atmosphere-ocean phenomenon of the El Niño-Southern Oscillation (ENSO). Both involve irregular behavior that is hard to predict, although some form of cyclicity is present in both, especially in ENSO. The paper concludes with broad perspectives on the further use of BDEs in the geosciences and elsewhere.</p>
title Boolean Delay Equations: a dynamical approach to modeling complex systems
topic boolean delay equations (BDEs)
solid-earth problem
climate problem
nonlinear and complex systems
modeling complex systems
geoscience
climate science
url https://doi.org/10.4401/ag-9182