108 citations · 347 across the 26 of their papers we have counts for
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math.DS2015★ 4 cited
Connecting orbits for a singular nonautonomous real Ginzburg-Landau type equation
Daniel Wilczak, Piotr Zgliczyński
We propose a method for computation of stable and unstable sets associated to hyperbolic equilibria of nonautonomous ODEs and for computation of specific type of connecting orbits…
math.DS2015
Geometric proof for normally hyperbolic invariant manifolds
Maciej J. Capiński, Piotr Zgliczyński
We present a new proof of the existence of normally hyperbolic manifolds and their whiskers for maps. Our result is not perturbative. Based on the bounds on the map and its derivat…
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…