prof. dr hab. Piotr Zgliczyński

Jednostki:

  • Wydział Matematyki i Informatyki UJ
  • Instytut Informatyki i Matematyki Komputerowej
  • Katedra Matematyki Obliczeniowej

Profesura  Otwarcie: 2006-01-26, Zamknięcie: 2007-01-21

Publikacje:

69.
Jacek Kubica, Piotr Zgliczyński, Piotr Kalita
The pitchfork bifurcation and heteroclinic connections in the Kuramoto–Sivashinsky PDE, Journal of Computational Dynamics (2024), accepted for publication
68.
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 vol. 24 (2024), 1389-1454
67.
Jakub Banaśkiewicz, Piotr Kalita, Piotr Zgliczyński
Computer-assisted validation of the existence of periodic orbit in the Brusselator system, Advances in Differential Equations vol. 29 (2024), 815-862
66.
Piotr Zgliczyński, Małgorzata Moczurad
Central configurations on the plane with N heavy and k light bodies, Communications in Nonlinear Science and Numerical Simulation vol. 114 (2022), 4991-4998
65.
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 vol. 320 (2022), 316-370
64.
Anna Gierzkiewicz-Pieniążek, Piotr Zgliczyński
From the Sharkovskii theorem to periodic orbits for the R\"ossler system, Journal of Differential Equations vol. 314 (2022), 733-751
63.
Tomasz Kapela, Daniel Wilczak, Piotr Zgliczyński
Recent advances in a rigorous computation of Poincaré maps, Communications in Nonlinear Science and Numerical Simulation vol. 110 (2022), 106366
62.
Anna Gierzkiewicz-Pieniążek, Piotr Zgliczyński
Periodic orbits in R\"ossler system, Communications in Nonlinear Science and Numerical Simulation vol. 101 (2021), 105891
61.
Piotr Kalita, Piotr Zgliczyński
Rigorous FEM for 1D Burgers Equation, SIAM Journal on Applied Dynamical Systems vol. 20 (2021), 853–907
60.
Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczyński
CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems , Communications in Nonlinear Science and Numerical Simulation vol. 101 (2021), 105578
59.
Małgorzata Moczurad, Piotr Zgliczyński
Central configurations in spatial $n$-body problem for $n=5,6$ with equal masses, Celestial Mechanics and Dynamical Astronomy (2020), 132:56
58.
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 vol. 269 (2020), 8509-8548
57.
Piotr Kalita, Piotr Zgliczyński
On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions, Proceedings of the Royal Society of Edinburgh Section A: Mathematics vol. 150 (2020), 2025-2054
56.
Małgorzata Moczurad, Piotr Zgliczyński
Central configurations in planar $n$-body problem for $n=5,6,7$ with equal masses, Celestial Mechanics and Dynamical Astronomy vol. 131 (2019), 46
55.
Anna Gierzkiewicz-Pieniążek, Piotr Zgliczyński
A computer-assisted proof of symbolic dynamics in Hyperion's rotation model, Celestial Mechanics and Dynamical Astronomy vol. 131 (2019), 33
54.
Maciej Capiński, Dmitry Turaev, Piotr Zgliczyński
Computer assisted proof of the existence of the Lorenz attractor in the Shimizu–Morioka system, Nonlinearity vol. 31 (2018), 5410
53.
Maciej Capiński, Piotr Zgliczyński
Beyond the Melnikov method II: Multidimensional setting, Journal of Differential Equations vol. 265 (2018), 3988-4015
52.
Jacek Cyranka, Piotr B. Mucha, Edriss S. Titi, Piotr Zgliczyński
Stabilizing the long-time behavior of the forced Navier–Stokes and damped Euler systems by large mean flow, Physica D: Nonlinear Phenomena vol. 369 (2018), 18-29
51.
Robert Szczelina, Piotr Zgliczyński
Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation, Foundations of Computational Mathematics vol. 18 (2018), 1299-1332
50.
Amadeu Delshams, Adria Simon, Piotr Zgliczyński
Shadowing of non-transversal heteroclinic chains, Journal of Differential Equations vol. 264 (2018), 3619–-3663
49.
Piotr Zgliczyński
Topological shadowing and the Grobman-Hartman Theorem, Topological Methods in Nonlinear Analysis vol. 50 (2017), 757-785
48.
Małgorzata Moczurad, Piotr Zgliczyński
On the Petras algorithm for verified integration of piecewise analytic functions , Journal of Complexity vol. 39 (2017), 69-93
47.
Maciej Capiński, Piotr Zgliczyński
Beyond the Melnikov method: a computer assisted approach, Journal of Differential Equations vol. 262 (2017), 365-417
46.
Piotr Zgliczyński
Hyperbolicity and Averaging for the Srzednicki-W{'o}jcik equation, Journal of Differential Equations vol. 262 (2017), 1931-1955
45.
Stefan Ratschan , Peter Franek, Piotr Zgliczyński
Quasi-decidability of a Fragment of the Analytic First-order Theory of Real Numbers, Journal of Automated Reasoning vol. 57 (2016), 157-185
44.
Jacek Cyranka, Piotr Zgliczyński
Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations, Journal of Differential Equations vol. 261 (2016), 4648-4708
43.
Aleksander Czechowski, Piotr Zgliczyński
Existence of periodic solutions of the FitzHugh-Nagumo equations for an explicit range of the small parameter, SIAM Journal on Applied Dynamical Systems vol. 15(3) (2016), 1615-1655
42.
Małgorzata Moczurad, Piotr Zgliczyński, Włodzimierz Zwonek
New lower bound estimates for quadratures of bounded analytic functions, Journal of Complexity vol. 34 (2016), 50–67
41.
Daniel Wilczak, Piotr Zgliczyński
Connecting Orbits for a Singular Nonautonomous Real Ginzburg--Landau Type Equation, SIAM Journal on Applied Dynamical Systems vol. 15 (2016), 495-525
40.
Aleksander Czechowski, Piotr Zgliczyński
Rigorous numerics for PDEs with indefinite tail: existence of a periodic solution of the Boussinesq equation with time-dependent forcing, Schedae Informaticae vol. 24 (2015), 143-158
39.
Piotr Zgliczyński
Steady states bifurcations for the Kuramoto-Sivashinsky equation - a computer assisted proof, Journal of Computational Dynamics Aims (2015), 95-142
38.
Jacek Cyranka, Piotr Zgliczyński
Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing - a computer assisted proof, SIAM Journal on Applied Dynamical Systems vol. 14 (2015), 787-821
37.
Maciej Capiński, Piotr Zgliczyński
Geometric proof for normally hyperbolic invariant manifolds, Journal of Differential Equations vol. 259 (2015), 6215-6286
36.
Robert Szczelina, Piotr Zgliczyński
A Homoclinic Orbit in a Planar Singular ODE---A Computer Assisted Proof, SIAM Journal on Applied Dynamical Systems vol. 12 (2013), 1541-–1565
35.
Maciej Capiński, Piotr Zgliczyński
Cone Conditions and Covering Relations for Normally Hyperbolic Invariant Manifolds, Discrete and Continuous Dynamical Systems vol. 30 (2011), 641-670
34.
Maciej Capiński, Piotr Zgliczyński
Transition Tori in the Planar Restricted Elliptic Three Body Problem, Nonlinearity vol. 24 (2011), 1395-1432
33.
Stefan Ratschan , Peter Franek, Piotr Zgliczyński
Satisfiability of Systems of Equations of Real Analytic Functions is Quasi-decidable , Lecture Notes in Computer Science vol. 6907 (2011), 315-326
32.
Daniel Wilczak, Piotr Zgliczyński
C^r-Lohner algorithm, Schedae Informaticae vol. 20 (2011), 9-46
31.
Piotr Zgliczyński
Rigorous Numerics for Dissipative PDEs III. An effective algorithm for rigorous integration of dissipative PDEs, Topological Methods in Nonlinear Analysis vol. 36 (2010), 197-262
30.
Piotr Zgliczyński
Covering relations, cone conditions and stable manifold theorem , Journal of Differential Equations vol. 246 (2009), 1774-1819
29.
Li Ming-Chia, Piotr Zgliczyński
On stability of forcing relations for multidimensional perturbations of interval maps, Fundamenta Mathematicae vol. 206 (2009), 241-251
28.
Tomasz Kapela, Piotr Zgliczyński
A Lohner-type algorithm for control systems and ordinary differential inclusions, Discrete and Continuous Dynamical Systems - Series B vol. 11 (2009), 365-385
27.
Daniel Wilczak, Piotr Zgliczyński
Computer assisted proof of the existence of homoclinic tangency for the Henon map and for the forced-damped pendulum, SIAM Journal on Applied Dynamical Systems vol. 8 (2009), 1632-1663
26.
Daniel Wilczak, Piotr Zgliczyński
Period doubling in the Rössler system - a computer assisted proof, Foundations of Computational Mathematics vol. 9 (2009), 611-649
25.
Li Ming-Chia, Lyu Ming-Jiea , Piotr Zgliczyński
Topological entropy for multidimensional perturbations of snap-back repellers and one-dimensional maps, Nonlinearity vol. 21 (2008), 2555-2567
24.
Zbigniew Galias, Piotr Zgliczyński
An interval method for finding fixed points and periodic orbits of infinite dimensional discrete dynamical systems, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering vol. 17 (2007), 4261-4272
23.
Hiroshi Kokubu, Daniel Wilczak, Piotr Zgliczyński
Rigorous verification of cocoon bifurcations in the Michelson system, Nonlinearity vol. 20 (2007), 2147-2174
22.
Daniel Wilczak, Piotr Zgliczyński
Topological method for symmetric periodic orbits for maps with a reversing symmetry, Discrete and Continuous Dynamical Systems vol. 17 (2007), 629-652
21.
Maciej Capiński, Piotr Zgliczyński
Covering Relations and Non-autonomous Perturbations of ODEs, Discrete and Continuous Dynamical Systems vol. 14 (2006), 281-293
20.
Daniel Wilczak, Piotr Zgliczyński
Heteroclinic Connections between Periodic Orbits in Planar Circular Restricted Three Body Problem - part II, Communications in Mathematical Physics vol. 259 (2005), 561-576
19.
Roman Srzednicki, Klaudiusz Wójcik, Piotr Zgliczyński
Fixed point results based on the Ważewski method, (2005), "Handbook of Topological Fixed Point Theory", Springer Verlag (połaczony z Kluwer Academic Publishing)
18.
Klaudiusz Wójcik, Piotr Zgliczyński
Topological horseshoes and delay differential equations, Discrete and Continuous Dynamical Systems vol. 12 (2005), 827-852
17.
Piotr Zgliczyński
Rigorous numerics for dissipative Partial Differential Equations II. Periodic orbit for the Kuramoto-Sivashinsky PDE - a computer assisted proof, Foundations of Computational Mathematics vol. 4 (2004), 157-185
16.
marian gidea, Piotr Zgliczyński
Covering relations for multidimensional dynamical systems I, Journal of Differential Equations vol. 202 (2004), 32-58
15.
marian gidea, Piotr Zgliczyński
Covering relations for multidimensional dynamical systems II, Journal of Differential Equations vol. 202 (2004), 59-80
14.
Gianni Arioli, Piotr Zgliczyński
Periodic, homoclinic and heteroclinic orbits for H'{e}non Heiles Hamiltonian near the critical energy level, Nonlinearity vol. vol. 16, No. 5 (2003), 1833-1852
13.
Piotr Zgliczyński
On smooth dependence on intial conditions for dissipative PDEs, an ODE-type approach, Journal of Differential Equations vol. 195/2 (2003), 271-283
12.
Daniel Wilczak, Piotr Zgliczyński
Heteroclinic Connections between Periodic Orbits in Planar Circular Restricted Three Body Problem - A Computer Assisted Proof, Communications in Mathematical Physics vol. 234 (2003), 37-75
11.
Tomasz Kapela, Piotr Zgliczyński
The existence of simple choreographies for the N-body problem - a computer assisted proof, Nonlinearity vol. 16(2) (2003), 1899-1918
10.
Piotr Zgliczyński
C^1-Lohner algorithm, Foundations of Computational Mathematics vol. 2 (2002), 429-465
9.
Piotr Zgliczyński
Attracting fixed points for the Kuramoto-Sivashinsky equation , SIAM Journal on Applied Dynamical Systems vol. 1 (2002), 215-235
8.
Klaudiusz Wójcik, Piotr Zgliczyński
Isolating segments, fixed point index, and symbolic dynamics. III. Applications, Journal of Differential Equations vol. 183 (2002), 262-278
7.
Konstantin Mischaikov, Piotr Zgliczyński
Rigorous Numerics for Partial Differential Equations: the Kuramoto-Sivashinsky equation, Foundations of Computational Mathematics vol. 1 (2001), 255-288
6.
Klaudiusz Wójcik, Piotr Zgliczyński
Isolating segments, fixed point index, and symbolic dynamics. II. Homoclinic solutions., Journal of Differential Equations vol. 172 (2001), 189-211
5.
Klaudiusz Wójcik, Piotr Zgliczyński
Isolating segments, fixed point index, and symbolic dynamics, Journal of Differential Equations vol. 161 (2000), 245-288
4.
Klaudiusz Wójcik, Piotr Zgliczyński
How to show an existence of homoclinic trajectories using topological tools?, (2000), " International Conference on Differential Equations, Vol. 1, 2 (Berlin, 1999),", World Scientific Publishing
3.
Klaudiusz Wójcik, Piotr Zgliczyński
On existence of infinitely many homoclinic solutions, Monatshefte für Mathematik vol. 130 (2000), 155-160
2.
Andrzej Szymczak , Klaudiusz Wójcik, Piotr Zgliczyński
On the discrete Conley index in the invariant subspace, Topology and its Applications vol. 87 (1998), 105-115
1.
Piotr Zgliczyński
Abundance of homoclinic and heteroclinic orbits and rigorous bounds for the topological entropy for the Henon map, Nonlinearity vol. 14 (), 909-932

Konferencje:

7.
Piotr Zgliczyński.
Rigorous Computational Dynamics in Infinite Dimensions, CRM, Montreal, Kanada, 2019-04-08 - 2019-04-14
6.
Piotr Zgliczyński, Daniel Wilczak.
Computation in Dynamics, ICERM Brown University, Providence, USA, 2016-04-04 - 2016-04-08
5.
Piotr Zgliczyński.
Mathsflows 2015, UW, Univ. Paris-Est, Porquerolles, Francja, 2015-09-13 - 2015-09-18
4.
Piotr Zgliczyński.
Global Dynamics in Hamiltonian Systems, UPC Barcelona, Girona, Hiszpania, 2015-06-28 - 2015-07-04
3.
Piotr Zgliczyński.
Information Based Complexity, IMPAN, Będlewo, Polska, 2015-04-26 - 2015-05-02
2.
Piotr Zgliczyński, Aleksander Czechowski.
Rigorously Verified Computing for Infinite Dimensional Nonlinear Dynamics, CRC, Banff, Kanada, 2014-09-21 - 2014-09-26
1.
Piotr Zgliczyński.
10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, AIMS, Madryt, Hiszpania, 2014-07-01 - 2014-07-07

Konferencje organizowane:

Doktoranci (po 27 października 2003 roku)

DoktorantOtwarcieZakonczenie
Mikołaj Zalewski2007-06-282011-05-26
Zofia Mączyńska2008-09-252011-04-28
Jacek Cyranka2011-03-312013-06-27
Tomasz Kapela2005-06-232005-09-22
Maciej Capiński2003-05-152005-10-27
Wiesław Pałka2012-06-282014-05-29
Robert Szczelina2013-06-272015-06-25
Piotr Kamieński2013-06-272019-09-26
Aleksander Czechowski2015-05-282016-06-30

Recenzje (po 27 października 2003 roku)

RecenzowanyJednostkaTreść recenzji
Doktorat: Grzegorz Kosiorowski 
Doktorat: Paweł DłotkoKatedra Matematyki Obliczeniowej 
Doktorat: Piotr KościelniakKatedra Matematyki Stosowanej 
Profesura: Jacek TaborKatedra Uczenia Maszynowego 
Doktorat: Paweł Jarczyk 
Doktorat: Łukasz StruskiKatedra Matematyki Stosowanej 
Habilitacja: Marcin MazurKatedra Matematyki Stosowanej 
Doktorat: Joanna Jałmużna 
Doktorat: Frank WeilandtKatedra Matematyki Obliczeniowej 

Granty (realizowane po maju 2009 roku)

Nagrody

RokRodzajRodzaj uhonorowanej działalnościTyp 
2016nagrodawybitny dorobek naukowy lub artystycznykrajowaSzczegóły