Najważniejsze publikacje
- 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
Najnowsze publikacje
- Piotr Kalita, Jakub Banaśkiewicz, Piotr Zgliczyński, Computer-assisted validation of the existence of periodic orbit in the Brusselator system, Advances in Differential Equations accepted for publication (2024),
- Robert Szczelina, Piotr Zgliczyński, High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays, Foundations of Computational Mathematics (2022),
- Piotr Zgliczyński, Małgorzata Moczurad, Central configurations on the plane with N heavy and k light bodies, Communications in Nonlinear Science and Numerical Simulation 114 (2022), 4991-4998
- Maciej Capiński, Marcel Guardia, Pau Martin, Tere Seara, Piotr Zgliczyński, Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem, Journal of Differential Equations 320 (2022), 316-370
- Anna Gierzkiewicz-Pieniążek, Piotr Zgliczyński, From the Sharkovskii theorem to periodic orbits for the R\"ossler system, Journal of Differential Equations 314 (2022), 733-751
Zainteresowania
Równania różniczkowe zwyczajne i cząstkowe, metody geometryczne w dynamice, scisła numeryka, dynamika hamiltonowska, dowody wspierane komputerowo
Piotr Zgliczyński
stopień/tytuł profesor doktor habilitowany stanowiskobadawczo-dydaktyczne, profesor
jednostka
- Katedra Matematyki Obliczeniowej
- Instytut Informatyki i Matematyki Komputerowej
piotr.zgliczynski@uj.edu.pl
www