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:

46.
Maciej Capiński, Piotr Zgliczyński
Beyond the Melnikov method: a computer assisted approach, J DIFFER EQUATIONS vol. 262 (2017), 365-417
45.
Piotr Zgliczyński
Hyperbolicity and Averaging for the Srzednicki-W{'o}jcik equation, J DIFFER EQUATIONS vol. 262 (2017), 1931-1955
44.
Stefan Ratschan , Peter Franek, Piotr Zgliczyński
Quasi-decidability of a Fragment of the Analytic First-order Theory of Real Numbers, J AUTOM REASONING vol. 57 (2016), 157-185
43.
Jacek Cyranka, Piotr Zgliczyński
Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations, J DIFFER EQUATIONS vol. 261 (2016), 4648-4708
42.
Aleksander Czechowski, Piotr Zgliczyński
Existence of periodic solutions of the FitzHugh-Nagumo equations for an explicit range of the small parameter, SIAM J APPL DYN SYST vol. 15(3) (2016), 1615-1655
41.
Małgorzata Moczurad, Piotr Zgliczyński, Włodzimierz Zwonek
New lower bound estimates for quadratures of bounded analytic functions, J COMPLEXITY vol. 34 (2016), 50–67
40.
Daniel Wilczak, Piotr Zgliczyński
Connecting Orbits for a Singular Nonautonomous Real Ginzburg--Landau Type Equation, SIAM J APPL DYN SYST vol. 15 (2016), 495-525
39.
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
38.
Piotr Zgliczyński
Steady states bifurcations for the Kuramoto-Sivashinsky equation - a computer assisted proof, JOURNAL OF COMPUTATIONAL DYNAMICS AIMS (2015), 95-142
37.
Jacek Cyranka, Piotr Zgliczyński
Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing - a computer assisted proof, SIAM J APPL DYN SYST (2015), 787-821
36.
Maciej Capiński, Piotr Zgliczyński
Geometric proof for normally hyperbolic invariant manifolds, J DIFFER EQUATIONS (2015), 6215-6286
35.
Robert Szczelina, Piotr Zgliczyński
A Homoclinic Orbit in a Planar Singular ODE---A Computer Assisted Proof, SIAM J APPL DYN SYST vol. 12 (2013), 1541-–1565
34.
Maciej Capiński, Piotr Zgliczyński
Cone Conditions and Covering Relations for Normally Hyperbolic Invariant Manifolds, DISCRETE CONT DYN-A vol. 30 (2011), 641-670
33.
Maciej Capiński, Piotr Zgliczyński
Transition Tori in the Planar Restricted Elliptic Three Body Problem, NONLINEARITY vol. 24 (2011), 1395-1432
32.
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
31.
Daniel Wilczak, Piotr Zgliczyński
C^r-Lohner algorithm, SCHEDAE INFORMATICAE vol. 20 (2011), 9-46
30.
Piotr Zgliczyński
Rigorous Numerics for Dissipative PDEs III. An effective algorithm for rigorous integration of dissipative PDEs, TOPOL METHOD NONL AN vol. 36 (2010), 197-262
29.
Piotr Zgliczyński
Covering relations, cone conditions and stable manifold theorem , J DIFFER EQUATIONS vol. 246 (2009), 1774-1819
28.
Li Ming-Chia, Piotr Zgliczyński
On stability of forcing relations for multidimensional perturbations of interval maps, FUND MATH vol. 206 (2009), 241-251
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 J APPL DYN SYST vol. 8 (2009), 1632-1663
26.
Daniel Wilczak, Piotr Zgliczyński
Period doubling in the Rössler system - a computer assisted proof, FOUND COMPUT MATH 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, INT J BIFURCAT CHAOS 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 CONT DYN-A vol. 17 (2007), 629-652
21.
Maciej Capiński, Piotr Zgliczyński
Covering Relations and Non-autonomous Perturbations of ODEs, DISCRETE CONT DYN-A vol. 14 (2006), 281-293
20.
Daniel Wilczak, Piotr Zgliczyński
Heteroclinic Connections between Periodic Orbits in Planar Circular Restricted Three Body Problem - part II, COMMUN MATH PHYS 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 CONT DYN-A 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, FOUND COMPUT MATH vol. 4 (2004), 157-185
16.
marian gidea, Piotr Zgliczyński
Covering relations for multidimensional dynamical systems I, J DIFFER EQUATIONS vol. 202 (2004), 32-58
15.
marian gidea, Piotr Zgliczyński
Covering relations for multidimensional dynamical systems II, J DIFFER 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, J DIFFER 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, COMMUN MATH PHYS 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, FOUND COMPUT MATH vol. 2 (2002), 429-465
9.
Piotr Zgliczyński
Attracting fixed points for the Kuramoto-Sivashinsky equation , SIAM J APPL DYN SYST vol. 1 (2002), 215-235
8.
Klaudiusz Wójcik, Piotr Zgliczyński
Isolating segments, fixed point index, and symbolic dynamics. III. Applications, J DIFFER EQUATIONS vol. 183 (2002), 262-278
7.
Konstantin Mischaikov, Piotr Zgliczyński
Rigorous Numerics for Partial Differential Equations: the Kuramoto-Sivashinsky equation, FOUND COMPUT MATH vol. 1 (2001), 255-288
6.
Klaudiusz Wójcik, Piotr Zgliczyński
Isolating segments, fixed point index, and symbolic dynamics. II. Homoclinic solutions., J DIFFER EQUATIONS vol. 172 (2001), 189-211
5.
Klaudiusz Wójcik, Piotr Zgliczyński
Isolating segments, fixed point index, and symbolic dynamics, J DIFFER 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, MONATSH MATH vol. 130 (2000), 155-160
2.
Andrzej Szymczak , Klaudiusz Wójcik, Piotr Zgliczyński
On the discrete Conley index in the invariant subspace, TOPOL APPL 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:

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

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 Kamieński2013-06-27 
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 
2016nagrodadziałalność naukowa lub naukowo-badawczakrajowaSzczegóły