13 citations · 23 across the 7 of their papers we have counts for
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math.DS2019
Rigorous numerics for a singular perturbation problem
Aleksander Czechowski
Fast-slow systems are notoriously difficult to analyze with rigorous numerics, since the qualitative properties of the solution space change fundamentally when the so-called small…
math.DS2016
Symplectomorphisms and discrete braid invariants
Aleksander Czechowski, Robert Vandervorst
Area and orientation preserving diffeomorphisms of the standard 2-disc, referred to as symplectomorphisms of , allow decompositions in terms of positive twist diffe…
math.DS2015★ 6 cited
Existence of periodic solutions of the FitzHugh-Nagumo equations for an explicit range of the small parameter
Aleksander Czechowski, Piotr Zgliczyński
The FitzHugh-Nagumo model describing propagation of nerve impulses in axon is given by fast-slow reaction-diffusion equations, with dependence on a parameter representing the r…