Daniel Wilczak, Piotr Zgliczyński, A geometric method for infinite-dimensional chaos: Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line, Journal of Differential Equations 269 (2020), 8509-8548
Amadeu Delshams, Adria Simon, Piotr Zgliczyński, Shadowing of non-transversal heteroclinic chains, Journal of Differential Equations 264 (2018), 3619–-3663
Piotr Zgliczyński, Covering relations, cone conditions and stable manifold theorem, Journal of Differential Equations 246 (2009), 1774-1819
marian gidea, Piotr Zgliczyński, Covering relations for multidimensional dynamical systems I, Journal of Differential Equations 202 (2004), 32-58
Konstantin Mischaikov, Piotr Zgliczyński, Rigorous Numerics for Partial Differential Equations: the Kuramoto-Sivashinsky equation, Foundations of Computational Mathematics 1 (2001), 255-288

Maciej Capiński, Bernd Krauskopf, Hinke M. Osinga, Piotr Zgliczyński, Characterising blenders via covering relations and cone conditions, Journal of Differential Equations 416 (2025), 768-805
Amadeu Delshams, Piotr Zgliczyński, Polynomial normal forms for ODEs near a center-saddle equilibrium point, Journal of Differential Equations 436 (2025), 113268
Anna Gierzkiewicz-Pieniążek, Rodrigo G Schaefer, Piotr Zgliczyński, No Infinite Spin for Partial Collisions Converging to Isolated Central Configurations on the Plane, Communications in Mathematical Physics 7 (2025), 158
Jacek Kubica, Piotr Zgliczyński, Piotr Kalita, The pitchfork bifurcation and heteroclinic connections in the Kuramoto–Sivashinsky PDE, Journal of Computational Dynamics 12 (2025), 325-392
Jordi-Lluis Figueras, Warwick Tucker, Piotr Zgliczyński, The Number of Relative Equilibria in the PCR4BP, Journal of Dynamics and Differential Equations 36 (2024), 2827-2877

Równania różniczkowe zwyczajne i cząstkowe, metody geometryczne w dynamice, scisła numeryka, dynamika hamiltonowska, dowody wspierane komputerowo

Piotr Zgliczyński

stopień/tytuł profesor doktor habilitowany stanowisko

badawczo-dydaktyczne, profesor

jednostka

kontakt

piotr.zgliczynski@uj.edu.pl

www

Wydział Matematyki i Informatyki