Boolean Delay Equations: a dynamical approach to modeling complex systems

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Published: 2024-10-31
DOI: https://doi.org/10.4401/ag-9182

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Michael Ghil
Ecole Normale Superieure and PSL University, Department of Geosciences and Laboratoire de Meteorologie Dynamique, Paris, France; University of California at Los Angeles, Department of Atmospheric and Oceanic Sciences, Los Angeles, USA and Imperial College, Department of Mathematics, London, UK

Abstract




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.





 

Article Details

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Vol. 67 No. 4 (2024): Embracing the past, empowering the present, envisioning the future, 25th INGV Anniversary

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Embracing the past,empowering the present,envisioning the future,25th INGV anniv
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How to Cite

(1)
Ghil, M. Boolean Delay Equations: A Dynamical Approach to Modeling Complex Systems. Ann. Geophys. 2024, 67 (4), NG444. https://doi.org/10.4401/ag-9182.