48 citations · 96 across the 7 of their papers we have counts for
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math.DS2024
Nontrivial Kron Reduction for Power Grid Dynamics Modeling
Laurent Pagnier, Robin Delabays, Melvyn Tyloo
The Kron reduction is used in power grid modeling when the analysis can -- supposedly -- be restricted to a subset of nodes. Typically, when one is interested in the phases' dynami…
nlin.AO2024
Resilience of the slow component in timescale separated synchronized oscillators
Melvyn Tyloo
Physiological networks are usually made of a large number of biological oscillators evolving on a multitude of different timescales. Phase oscillators are particularly useful in th…