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20072023
most citedUnified functional network and nonlinear time series analysis for complex systems science: The pyunicorn package

134 citations · 1.1k across the 41 of their papers we have counts for

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math.DS2022★ 1 cited

Stabilising millennial oscillations in large-scale ocean circulation with a delayed feedback due to a circumpolar current

Andrew Keane, Alexandre Pohl, Henk A. Dijkstra +1

The global ocean circulation plays a pivotal role in the regulation of the Earth's climate. The specific pattern and strength of circulation also determines how carbon and nutrient…

math.DS2020★ 2 cited

A Delay Equation Model for the Atlantic Multidecadal Oscillation

Swinda K. J. Falkena, Courtney Quinn, Jan Sieber +1

A new technique to derive delay models from systems of partial differential equations, based on the Mori-Zwanzig formalism, is used to derive a delay difference equation model for…

math.DS2019★ 31 cited

Ruelle-Pollicott Resonances of Stochastic Systems in Reduced State Space. Part I: Theory

Mickaël Chekroun, Alexis Tantet, Henk Anton Dijkstra +1

A theory of Ruelle-Pollicott (RP) resonances for stochastic differential systems is presented. These resonances are defined as the eigenvalues of the generator (Kolmogorov operator…

math.DS2019★ 40 cited

Derivation of Delay Equation Climate Models Using the Mori-Zwanzig Formalism

Swinda K. J. Falkena, Courtney Quinn, Jan Sieber +2

Models incorporating delay have been frequently used to understand climate variability phenomena, but often the delay is introduced through an ad-hoc physical reasoning, such as th…

math.DS2017

(Un)predictability of strong El Niño events

John Guckenheimer, Axel Timmermann, Henk Dijkstra +1

The El Niño-Southern Oscillation (ENSO) is a mode of interannual variability in the coupled equatorial Pacific coupled atmosphere/ocean system. El Niño describes a state in which s…