103 citations · 682 across the 48 of their papers we have counts for
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math.DS2023★ 13 cited
Slow Invariant Manifolds of Singularly Perturbed Systems via Physics-Informed Machine Learning
Dimitrios G. Patsatzis, Gianluca Fabiani, Lucia Russo +1
We present a physics-informed machine-learning (PIML) approach for the approximation of slow invariant manifolds (SIMs) of singularly perturbed systems, providing functionals in an…
math.DS2023★ 3 cited
Numerical Bifurcation Analysis of Turing and Symmetry Broken Patterns of a Vegetation PDE Model
Konstantinos Spiliotis, Lucia Russo, Francesco Giannino +1
We study the mechanisms of pattern formation for vegetation dynamics in water-limited regions. Our analysis is based on a set of two partial differential equations (PDEs) of reacti…