Most significant publications
- 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
Recent publications
- Jakub Banaśkiewicz, Piotr Kalita, Piotr Zgliczyński, Computer-assisted validation of the existence of periodic orbit in the Brusselator system, Advances in Differential Equations 29 (2024), 815-862
- Piotr Zgliczyński, Robert Szczelina, Szczelina, R., Zgliczyński, P. High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays, Foundations of Computational Mathematics (2023),
- 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
Interests
differential equations, geometric methods in dynamics, rigorous numerics, hamiltononian dynamics, komputer assisted proofs
Piotr Zgliczyński
academic degree/title Professor positionresearch and faculty staff member group, professor
unit
- Division of Computational Mathematics
- Institute of Computer Science and Computational Mathematics
piotr.zgliczynski@uj.edu.pl
www