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Piotr Zgliczynski
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2020 – today
- 2024
- [j22]Robert Szczelina
, Piotr Zgliczynski:
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays. Found. Comput. Math. 24(4): 1389-1454 (2024) - [i8]Daniel Wilczak, Piotr Zgliczynski:
Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line II. CoRR abs/2405.17087 (2024) - 2022
- [j21]Tomasz Kapela
Recent advances in a rigorous computation of Poincaré maps. Commun. Nonlinear Sci. Numer. Simul. 110: 106366 (2022) - [j20]Malgorzata Moczurad
Central configurations on the plane with N heavy and k light bodies. Commun. Nonlinear Sci. Numer. Simul. 114: 106533 (2022) - [i7]Robert Szczelina
High-order Lohner-type algorithm for rigorous computation of Poincaré maps in systems of Delay Differential Equations with several delays. CoRR abs/2206.13873 (2022) - 2021
- [j19]Tomasz Kapela
CAPD: : DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems. Commun. Nonlinear Sci. Numer. Simul. 101: 105578 (2021) - [j18]Anna Gierzkiewicz
Periodic orbits in the Rössler system. Commun. Nonlinear Sci. Numer. Simul. 101: 105891 (2021) - [j17]Piotr Kalita
Rigorous FEM for One-Dimensional Burgers Equation. SIAM J. Appl. Dyn. Syst. 20(2): 853-907 (2021) - [i6]Tomasz Kapela, Daniel Wilczak, Piotr Zgliczynski:
Recent advances in rigorous computation of Poincaré maps. CoRR abs/2104.08046 (2021) - 2020
- [i5]Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczynski:
CAPD: : DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems. CoRR abs/2010.07097 (2020)
2010 – 2019
- 2018
- [j16]Robert Szczelina
Algorithm for Rigorous Integration of Delay Differential Equations and the Computer-Assisted Proof of Periodic Orbits in the Mackey-Glass Equation. Found. Comput. Math. 18(6): 1299-1332 (2018) - 2017
- [j15]Malgorzata Moczurad, Piotr Zgliczynski:
On the Petras algorithm for verified integration of piecewise analytic functions. J. Complex. 39: 69-93 (2017) - [i4]Malgorzata Moczurad, Piotr Zgliczynski:
Real-number Computability from the Perspective of Computer Assisted Proofs in Analysis. CoRR abs/1711.04184 (2017) - 2016
- [j14]Peter Franek, Stefan Ratschan
Quasi-decidability of a Fragment of the First-Order Theory of Real Numbers. J. Autom. Reason. 57(2): 157-185 (2016) - [j13]Malgorzata Moczurad, Piotr Zgliczynski, Wlodzimierz Zwonek:
New lower bound estimates for quadratures of bounded analytic functions. J. Complex. 34: 50-67 (2016) - [j12]Daniel Wilczak
Connecting Orbits for a Singular Nonautonomous Real Ginzburg-Landau Type Equation. SIAM J. Appl. Dyn. Syst. 15(1): 495-525 (2016) - [j11]Aleksander Czechowski, Piotr Zgliczynski:
Existence of Periodic Solutions of the FitzHugh-Nagumo Equations for an Explicit Range of the Small Parameter. SIAM J. Appl. Dyn. Syst. 15(3): 1615-1655 (2016) - [i3]Malgorzata Moczurad, Piotr Zgliczynski:
On the Petras algorithm for verified integration of piecewise analytic functions. CoRR abs/1603.03945 (2016) - 2015
- [j10]Jacek Cyranka, Piotr Zgliczynski:
Existence of Globally Attracting Solutions for One-Dimensional Viscous Burgers Equation with Nonautonomous Forcing - A Computer Assisted Proof. SIAM J. Appl. Dyn. Syst. 14(2): 787-821 (2015) - 2014
- [i2]Jacek Cyranka, Piotr Zgliczynski:
Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing - a computer assisted proof. CoRR abs/1403.7170 (2014) - 2013
- [j9]Robert Szczelina
A Homoclinic Orbit in a Planar Singular ODE - A Computer Assisted Proof. SIAM J. Appl. Dyn. Syst. 12(3): 1541-1565 (2013) - [i1]Peter Franek, Stefan Ratschan, Piotr Zgliczynski:
Quasi-decidability of a Fragment of the First-order Theory of Real Numbers. CoRR abs/1309.6280 (2013) - 2011
- [c1]Peter Franek, Stefan Ratschan, Piotr Zgliczynski:
Satisfiability of Systems of Equations of Real Analytic Functions Is Quasi-decidable. MFCS 2011: 315-326
2000 – 2009
- 2009
- [j8]Daniel Wilczak
Period Doubling in the Rössler System - A Computer Assisted Proof. Found. Comput. Math. 9(5): 611-649 (2009) - [j7]Daniel Wilczak, Piotr Zgliczynski:
Computer Assisted Proof of the Existence of Homoclinic Tangency for the Hénon Map and for the Forced Damped Pendulum. SIAM J. Appl. Dyn. Syst. 8(4): 1632-1663 (2009) - 2007
- [j6]Zbigniew Galias
Infinite Dimensional Krawczyk Operator for Finding Periodic orbits of Discrete Dynamical Systems. Int. J. Bifurc. Chaos 17(12): 4261-4272 (2007) - 2004
- [j5]Piotr Zgliczynski:
Rigorous Numerics for Dissipative Partial Differential Equations II. Periodic Orbit for the Kuramoto-Sivashinsky PDE-A Computer-Assisted Proof. Found. Comput. Math. 4(2): 157-185 (2004) - 2002
- [j4]Piotr Zgliczynski:
C1 Lohner Algorithm. Found. Comput. Math. 2(4): 429-465 (2002) - [j3]Piotr Zgliczynski:
Attracting Fixed Points for the Kuramoto-Sivashinsky Equation: A Computer Assisted Proof. SIAM J. Appl. Dyn. Syst. 1(2): 215-235 (2002) - 2001
- [j2]Piotr Zgliczynski, Konstantin Mischaikow:
Rigorous Numerics for Partial Differential Equations: The Kuramoto-Sivashinsky Equation. Found. Comput. Math. 1(3): 255-288 (2001) - [j1]Michal Misiurewicz, Piotr Zgliczynski:
Topological Entropy for Multidimensional perturbations of One-Dimensional Maps. Int. J. Bifurc. Chaos 11(5): 1443-1446 (2001)
Coauthor Index
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