688 citations · 3.2k across the 69 of their papers we have counts for
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Model reduction for the collective dynamics of globally coupled oscillators: From finite networks to the thermodynamic limit
Lachlan D Smith, Georg A Gottwald
Model reduction techniques have been widely used to study the collective behavior of globally coupled oscillators. However, most approaches assume that there are infinitely many os…
Linear response for macroscopic observables in high-dimensional systems
Caroline L. Wormell, Georg A. Gottwald
The long-term average response of observables of chaotic systems to dynamical perturbations can often be predicted using linear response theory, but not all chaotic systems possess…
Chaos in networks of coupled oscillators with multimodal natural frequency distributions
Lachlan D. Smith, Georg A. Gottwald
We explore chaos in the Kuramoto model with multimodal distributions of the natural frequencies of oscillators and provide a comprehensive description under what conditions chaos o…
Detecting regime transitions in time series using dynamic mode decomposition
Georg A. Gottwald, Federica Gugole
We employ the framework of the Koopman operator and dynamic mode decomposition to devise a computationally cheap and easily implementable method to detect transient dynamics and re…