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
- 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
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