108 citations · 347 across the 26 of their papers we have counts for
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math.DS2014
Geometric proof of the Grobman-Hartman Theorem
Piotr Zgliczyński
We give geometric proofs for Grobman-Hartman theorem for diffeomorphisms and ODEs. Proofs use covering relations and cone conditions for maps and isolating segments and cone condit…
math.DS2014★ 19 cited
Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing - a computer assisted proof
Jacek Cyranka, Piotr Zgliczyński
We prove the existence of globally attracting solutions of the viscous Burgers equation with periodic boundary conditions on the line for some particular choices of viscosity and n…