Piotr Zgliczyński

1.9k total citations
57 papers, 1.2k citations indexed

About

Piotr Zgliczyński is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Piotr Zgliczyński has authored 57 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Statistical and Nonlinear Physics, 32 papers in Mathematical Physics and 18 papers in Geometry and Topology. Recurrent topics in Piotr Zgliczyński's work include Quantum chaos and dynamical systems (38 papers), Mathematical Dynamics and Fractals (30 papers) and Advanced Differential Equations and Dynamical Systems (17 papers). Piotr Zgliczyński is often cited by papers focused on Quantum chaos and dynamical systems (38 papers), Mathematical Dynamics and Fractals (30 papers) and Advanced Differential Equations and Dynamical Systems (17 papers). Piotr Zgliczyński collaborates with scholars based in Poland, United States and Czechia. Piotr Zgliczyński's co-authors include Daniel Wilczak, Marian Gidea, Zbigniew Galias, Konstantin Mischaikow, Marian Mrożek, Gianni Arioli, Hiroshi Kokubu, Michał Misiurewicz, Dmitry Turaev and Ming‐Chia Li and has published in prestigious journals such as Communications in Mathematical Physics, Physica D Nonlinear Phenomena and Journal of Differential Equations.

In The Last Decade

Piotr Zgliczyński

54 papers receiving 1.1k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Piotr Zgliczyński Poland 20 832 489 306 245 204 57 1.2k
Mark Levi United States 20 686 0.8× 205 0.4× 211 0.7× 301 1.2× 99 0.5× 62 1.2k
Jeroen S. W. Lamb United Kingdom 15 759 0.9× 193 0.4× 469 1.5× 359 1.5× 70 0.3× 48 1.2k
Glen R. Hall United States 11 621 0.7× 228 0.5× 237 0.8× 242 1.0× 44 0.2× 21 993
V. М. Alekseev Russia 9 310 0.4× 276 0.6× 102 0.3× 66 0.3× 283 1.4× 35 910
A. D. Bruno Russia 14 489 0.6× 83 0.2× 392 1.3× 54 0.2× 256 1.3× 124 999
C. Conley United States 11 261 0.3× 315 0.6× 248 0.8× 136 0.6× 162 0.8× 21 1.1k
Mario Sigalotti France 19 156 0.2× 231 0.5× 100 0.3× 90 0.4× 125 0.6× 92 914
Clàudìa Valls Portugal 22 1.4k 1.6× 425 0.9× 1.4k 4.4× 332 1.4× 382 1.9× 477 2.7k
Robert W. Easton United States 16 396 0.5× 287 0.6× 186 0.6× 89 0.4× 75 0.4× 37 831
Roberto Conti Italy 14 190 0.2× 269 0.6× 357 1.2× 47 0.2× 135 0.7× 82 1.1k

Countries citing papers authored by Piotr Zgliczyński

Since Specialization
Citations

This map shows the geographic impact of Piotr Zgliczyński's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Piotr Zgliczyński with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Piotr Zgliczyński more than expected).

Fields of papers citing papers by Piotr Zgliczyński

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Piotr Zgliczyński. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Piotr Zgliczyński. The network helps show where Piotr Zgliczyński may publish in the future.

Co-authorship network of co-authors of Piotr Zgliczyński

This figure shows the co-authorship network connecting the top 25 collaborators of Piotr Zgliczyński. A scholar is included among the top collaborators of Piotr Zgliczyński based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Piotr Zgliczyński. Piotr Zgliczyński is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Krauskopf, Bernd, et al.. (2024). Characterising blenders via covering relations and cone conditions. Journal of Differential Equations. 416. 768–805.
2.
Zgliczyński, Piotr, et al.. (2023). High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays. Foundations of Computational Mathematics. 24(4). 1389–1454.
3.
Zgliczyński, Piotr, et al.. (2022). From the Sharkovskii theorem to periodic orbits for the Rössler system. Jagiellonian University Repository (Jagiellonian University). 4 indexed citations
4.
Zgliczyński, Piotr, et al.. (2021). Periodic orbits in the Rössler system. Communications in Nonlinear Science and Numerical Simulation. 101. 105891–105891. 4 indexed citations
5.
Kalita, Piotr & Piotr Zgliczyński. (2021). Rigorous FEM for One-Dimensional Burgers Equation. SIAM Journal on Applied Dynamical Systems. 20(2). 853–907. 1 indexed citations
6.
Turaev, Dmitry, et al.. (2018). Computer assisted proof of the existence of the Lorenz attractor in the Shimizu–Morioka system. Nonlinearity. 31(12). 5410–5440. 16 indexed citations
7.
Delshams, Amadeu, et al.. (2017). Shadowing of non-transversal heteroclinic chains. Journal of Differential Equations. 264(5). 3619–3663. 5 indexed citations
8.
Zgliczyński, Piotr, et al.. (2011). Cone conditions and covering relations for topologically normally hyperbolic invariant manifolds. Homo Politicus (Academy of Humanities and Economics in Lodz). 16 indexed citations
9.
Zgliczyński, Piotr, et al.. (2011). Transition tori in the planar restricted elliptic three-body problem. Nonlinearity. 24(5). 1395–1432. 13 indexed citations
10.
Zgliczyński, Piotr. (2010). Rigorous numerics for dissipative PDEs III. An effective algorithm for rigorous integration of dissipative PDEs. Topological Methods in Nonlinear Analysis. 36(2). 197–262. 19 indexed citations
11.
Zgliczyński, Piotr. (2009). Covering relations, cone conditions and the stable manifold theorem. Journal of Differential Equations. 246(5). 1774–1819. 40 indexed citations
12.
Galias, Zbigniew & Piotr Zgliczyński. (2007). INFINITE DIMENSIONAL KRAWCZYK OPERATOR FOR FINDING PERIODIC ORBITS OF DISCRETE DYNAMICAL SYSTEMS. International Journal of Bifurcation and Chaos. 17(12). 4261–4272. 11 indexed citations
13.
Wilczak, Daniel & Piotr Zgliczyński. (2005). Heteroclinic Connections Between Periodic Orbits in Planar Restricted Circular Three Body Problem. Part II. Communications in Mathematical Physics. 259(3). 561–576. 25 indexed citations
14.
Wilczak, Daniel & Piotr Zgliczyński. (2003). Heteroclinic Connections Between Periodic Orbits in Planar Restricted Circular Three-Body Problem - A Computer Assisted Proof. Communications in Mathematical Physics. 234(1). 37–75. 62 indexed citations
15.
Zgliczyński, Piotr & Konstantin Mischaikow. (2001). Rigorous Numerics for Partial Differential Equations: The Kuramoto—Sivashinsky Equation. Foundations of Computational Mathematics. 1(3). 255–288. 81 indexed citations
16.
Arioli, Gianni & Piotr Zgliczyński. (2001). Symbolic Dynamics for the Hénon–Heiles Hamiltonian on the Critical Level. Journal of Differential Equations. 171(1). 173–202. 33 indexed citations
17.
Zgliczyński, Piotr, et al.. (2001). Isolating Segments, Fixed Point Index, and Symbolic Dynamics II. Homoclinic Solutions. Journal of Differential Equations. 172(1). 189–211. 3 indexed citations
18.
Zgliczyński, Piotr, et al.. (2000). Isolating Segments, Fixed Point Index, and Symbolic Dynamics. Journal of Differential Equations. 161(2). 245–288. 32 indexed citations
19.
Galias, Zbigniew & Piotr Zgliczyński. (1998). Computer assisted proof of chaos in the Lorenz equations. Physica D Nonlinear Phenomena. 115(3-4). 165–188. 60 indexed citations
20.
Szymczak, Andrzej, et al.. (1998). On the discrete Conley index in the invariant subspace. Topology and its Applications. 87(2). 105–115. 5 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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