224 citations · 694 across the 41 of their papers we have counts for
4 papers · 2 filters
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…
Variational approach to closure of nonlinear dynamical systems: Autonomous case
Mickaël D. Chekroun, Honghu Liu, James C. McWilliams
A general, variational approach to derive low-order reduced systems for nonlinear systems subject to an autonomous forcing, is introduced. The approach is based on the concept of o…
Ruelle-Pollicott Resonances of Stochastic Systems in Reduced State Space. Part III: Application to the Cane-Zebiak model of the El Ni{ñ}o-Southern Oscillation
Alexis Tantet, Mickaël Chekroun, J. David Neelin +1
The response of a low-frequency mode of climate variability, El Ni{ñ}o-Southern Oscillation, to stochastic forcing is studied in a high-dimensional model of intermediate complexity…
A Girsanov approach to slow parameterizing manifolds in the presence of noise
Mickaël D. Chekroun, Jeroen S. W. Lamb, Christian J. Pangerl +1
This work investigates a three-dimensional slow-fast stochastic system with quadratic nonlinearity and additive noise, inspired by fluid dynamics. The deterministic counterpart exh…