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math.DS2023
A topological perspective on singular canards for critical sets with transverse intersections
Riccardo Bonetto, Hildeberto Jardón-Kojakhmetov
This paper gives a new perspective on singular canards, which is topological in flavour. One key feature is that our construction does not rely on coordinates; consequently, the co…
math.DS2022
Nonlinear Diffusion on Networks: Perturbations and Consensus Dynamics
Riccardo Bonetto, Hildeberto Jardón Kojakhmetov
In this paper, we study a class of equations representing nonlinear diffusion on networks. A particular instance of our model can be seen as a network equivalent of the porous-medi…