Paweł Pilarczyk

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All published works

Action	Title	Year	Authors
+ PDF Chat	Bistability and chaos in the discrete two-gene Andrecut-Kauffman model	2024	Mikołaj Rosman M. Palczewski Paweł Pilarczyk Agnieszka Bartłomiejczyk
+ PDF Chat	An absorbing set for the Chialvo map	2024	Paweł Pilarczyk Grzegorz Graff
+ PDF Chat	An absorbing set for the Chialvo map	2024	Paweł Pilarczyk Grzegorz Graff
+ PDF Chat	Differentiating patients with obstructive sleep apnea from healthy controls based on heart rate–blood pressure coupling quantified by entropy-based indices	2023	Paweł Pilarczyk Grzegorz Graff José M. Amigó Katarzyna Tessmer Krzysztof Narkiewicz Beata Graff
+	Topological-numerical analysis of a two-dimensional discrete neuron model	2023	Paweł Pilarczyk Justyna Signerska‐Rynkowska Grzegorz Graff
+	Topological-numerical analysis of a two-dimensional discrete neuron model	2022	Paweł Pilarczyk Justyna Signerska‐Rynkowska Grzegorz Graff
+	Rigorous computation of escape times for parameter intervals in the quadratic map	2021	Paweł Pilarczyk Stefano Luzzatto
+ PDF Chat	Rigorous numerics for critical orbits in the quadratic family	2020	Ali Golmakani Comlan Edmond Koudjinan Stefano Luzzatto Paweł Pilarczyk
+	Rigorous numerics for the quadratic family	2020	Ali Golmakani Comlan Edmond Koudjinan Stefano Luzzatto Paweł Pilarczyk
+ PDF Chat	A study of rigorous ODE integrators for multi-scale set-oriented computations	2016	Tomoyuki Miyaji Paweł Pilarczyk Marcio Gameiro Hiroshi Kokubu Konstantin Mischaikow
+	Computation of Cubical Steenrod Squares	2016	Marek Krčál Paweł Pilarczyk
+ PDF Chat	Uniform Expansivity Outside a Critical Neighborhood in the Quadratic Family	2015	Ali Golmakani Stefano Luzzatto Paweł Pilarczyk
+ PDF Chat	Inducing a map on homology from a correspondence	2015	Shaun Harker Hiroshi Kokubu Konstantin Mischaikow Paweł Pilarczyk
+	Uniform expansivity outside the critical neighborhood in the quadratic family	2015	Ali Golmakani Stefano Luzzatto Paweł Pilarczyk
+ PDF Chat	An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds	2015	Paweł Pilarczyk Grzegorz Graff
+ PDF Chat	Rich Bifurcation Structure in a Two-Patch Vaccination Model	2015	Diána Knipl Paweł Pilarczyk Gergely Röst
+	Uniform expansivity outside the critical neighborhood in the quadratic family	2015	Ali Golmakani Stefano Luzzatto Paweł Pilarczyk
+	Inducing a map on homology from a correspondence	2014	Shaun Harker Hiroshi Kokubu Konstantin Mischaikow Paweł Pilarczyk
+ PDF Chat	Computation of cubical homology, cohomology, and (co)homological operations via chain contraction	2014	Paweł Pilarczyk Pedro Real
+	Shadowing is generic---a continuous map case	2014	Piotr Kościelniak Marcin Mazur Piotr Oprocha Paweł Pilarczyk
+	Inducing a map on homology from a correspondence	2014	Shaun Harker Hiroshi Kokubu Konstantin Mischaikow Paweł Pilarczyk
+	Combinatorial-topological framework for the analysis of global dynamics	2012	Justin Bush Marcio Gameiro Shaun Harker Hiroshi Kokubu Konstantin Mischaikow Ippei Obayashi Paweł Pilarczyk
+ PDF Chat	Finite Resolution Dynamics	2011	Stefano Luzzatto Paweł Pilarczyk
+	Set-oriented numerical analysis of difference equations with parameters	2011	Paweł Pilarczyk
+ PDF Chat	Recent development in rigorous computational methods in dynamical systems	2009	Zin Arai Hiroshi Kokubu Paweł Pilarczyk
+ PDF Chat	Quantitative hyperbolicity estimates in one-dimensional dynamics	2008	Sarah Day Hiroshi Kokubu Stefano Luzzatto Konstantin Mischaikow Hiroe Oka Paweł Pilarczyk
+	Excision-preserving cubical approach to the algorithmic computation of the discrete Conley index	2008	Paweł Pilarczyk Kinga Stolot
+ PDF Chat	Homology algorithm based on acyclic subspace	2007	Marian Mrożek Paweł Pilarczyk Natalia Żelazna
+	Graph Approach to the Computation of the Homology of Continuous Maps	2005	Konstantin Mischaikow Marian Mrożek Paweł Pilarczyk
+	Topological-numerical approach to the existence of periodic trajectories in ODE's	2003	Paweł Pilarczyk
+ PDF Chat	The Conley Index and Rigorous Numerics for Attracting Periodic Orbits	2002	Marian Mrożek Paweł Pilarczyk
+ PDF Chat	Computer assisted method for proving existence of periodic orbits	1999	Paweł Pilarczyk

Common Coauthors

Coauthor	Papers Together
Stefano Luzzatto	8
Hiroshi Kokubu	7
Konstantin Mischaikow	7
Grzegorz Graff	6
Ali Golmakani	5
Shaun Harker	4
Marian Mrożek	3
Comlan Edmond Koudjinan	2
Marcio Gameiro	2
Justyna Signerska‐Rynkowska	2
Zin Arai	1
M. Palczewski	1
Justin Bush	1
Ippei Obayashi	1
Tomoyuki Miyaji	1
Agnieszka Bartłomiejczyk	1
Diána Knipl	1
Katarzyna Tessmer	1
Krzysztof Narkiewicz	1
Piotr Kościelniak	1
José M. Amigó	1
Gergely Röst	1
Mikołaj Rosman	1
Pedro Real	1
Marek Krčál	1
Marcin Mazur	1
Piotr Oprocha	1
Sarah Day	1
Natalia Żelazna	1
Beata Graff	1
Kinga Stolot	1
Hiroe Oka	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Graph Approach to the Computation of the Homology of Continuous Maps	2005	Konstantin Mischaikow Marian Mrożek Paweł Pilarczyk	12
+ PDF Chat	Computer assisted method for proving existence of periodic orbits	1999	Paweł Pilarczyk	8
+	Isolated Invariant Sets and the Morse Index	1978	Charles C. Conley	7
+	Excision-preserving cubical approach to the algorithmic computation of the discrete Conley index	2008	Paweł Pilarczyk Kinga Stolot	7
+	The Conley index for discrete semidynamical systems	1995	Andrzej Szymczak	7
+	A combinatorial procedure for finding isolating neighbourhoods and index pairs	1997	Andrzej Szymczak	6
+	The Conley Index on Compact Anr’s Is of Finite Type	1990	Marian Mrożek	6
+ PDF Chat	Non-uniformly expanding dynamics in maps with singularities and criticalities	1999	Stefano Luzzatto Warwick Tucker	6
+ PDF Chat	Absolutely continuous invariant measures for one-parameter families of one-dimensional maps	1981	Michael Jakobson	6
+ PDF Chat	An Algorithmic Approach to Chain Recurrence	2005	William D. Kalies Konstantin Mischaikow Robert Vandervorst	5
+ PDF Chat	A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems	2004	Sarah Day Oliver Junge Konstantin Mischaikow	5
+ PDF Chat	Quantitative hyperbolicity estimates in one-dimensional dynamics	2008	Sarah Day Hiroshi Kokubu Stefano Luzzatto Konstantin Mischaikow Hiroe Oka Paweł Pilarczyk	5
+ PDF Chat	Computable conditions for the occurrence of non-uniform hyperbolicity in families of one-dimensional maps	2006	Stefano Luzzatto Hiroki Takahasi	5
+ PDF Chat	Set arithmetic and the enclosing problem in dynamics	2000	Marian Mrożek Piotr Zgliczyński	5
+	Chaos in the Lorenz equations: a computer-assisted proof	1995	Konstantin Mischaikow Marian Mrożek	5
+ PDF Chat	The Conley Index and Rigorous Numerics for Attracting Periodic Orbits	2002	Marian Mrożek Paweł Pilarczyk	5
+ PDF Chat	Computation of cubical homology, cohomology, and (co)homological operations via chain contraction	2014	Paweł Pilarczyk Pedro Real	4
+	Generic Hyperbolicity in the Logistic Family	1997	Jacek Graczyk Grzegorz Świątek	4
+	Combinatorial-topological framework for the analysis of global dynamics	2012	Justin Bush Marcio Gameiro Shaun Harker Hiroshi Kokubu Konstantin Mischaikow Ippei Obayashi Paweł Pilarczyk	4
+ PDF Chat	Decidability of Chaos for Some Families of Dynamical Systems	2004	Alexander Arbieto Carlos Matheus	4
+	C1 Lohner Algorithm	2002	Piotr Zgliczyński	4
+ PDF Chat	Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps	2013	Shaun Harker Konstantin Mischaikow Marian Mrożek Vidit Nanda	4
+ PDF Chat	A two-dimensional mapping with a strange attractor	1976	M. Hénon	4
+	Homology computation by reduction of chain complexes	1998	Tomasz Kaczyński Marian Mrożek Maciej Ślusarek	4
+	On Iterations of 1 - ax 2 on (- 1,1)	1985	Michael Benedicks Lennart Carleson	4
+ PDF Chat	Rich Bifurcation Structure in a Two-Patch Vaccination Model	2015	Diána Knipl Paweł Pilarczyk Gergely Röst	4
+	A characterization of the minimum cycle mean in a digraph	1978	Richard M. Karp	4
+	Infinite-Modal Maps with Global Chaotic Behavior	1998	Maria José Pacífico A. Rovella Marcelo Viana	4
+ PDF Chat	Dynamics of quadratic polynomials, I–II	1997	Mikhail Lyubich	4
+ PDF Chat	Leray functor and cohomological Conley index for discrete dynamical systems	1990	Marian Mrożek	4
+	Zeta Functions, Periodic Trajectories, and the Conley Index	1995	Christopher McCord Konstantin Mischaikow Marian Mrożek	4
+	Introduction to Algorithms	1991	V. J. Rayward‐Smith Thomas H. Cormen Charles E. Leiserson Ronald L. Rivest	3
+	Topological-numerical approach to the existence of periodic trajectories in ODE's	2003	Paweł Pilarczyk	3
+ PDF Chat	A Numerical Method for Constructing the Hyperbolic Structure of Complex Henon Mappings	2006	Suzanne Lynch Hruska	3
+	None	1999	Marian Mrożek	3
+	Rigorous Computations of Homoclinic Tangencies	2006	Zin Arai Konstantin Mischaikow	3
+	Elements of Algebraic Topology	2018	James R. Munkres	3
+	Non-uniform hyperbolicity and universal bounds for S-unimodal maps	1998	Tomasz Nowicki Duncan Sands	3
+	The implementation of the Allili–Kaczyński algorithm for the construction of a chain homomorphism induced by a multivalued map	2000	Marcin Mazur Jacek Szybowski	3
+	Positive Lyapunov exponents in families of one dimensional dynamical systems	1993	Masato Tsujii	3
+ PDF Chat	On Hyperbolic Plateaus of the Henon Map	2007	Zin Arai	3
+	Dynamics and Bifurcations	1991	Jack K. Hale Hüseyin Koçak	3
+	Topological invariants, mulitvalued maps and computer assisted proofs in dynamics	1996	Marian Mrożek	3
+ PDF Chat	Hyperbolicity, sinks and measure in one dimensional dynamics	1985	Ricardo Mañé	3
+	A rigorous lower bound for the stability regions of the quadratic map	2009	Warwick Tucker Daniel Wilczak	3
+ PDF Chat	Almost Every Real Quadratic Map Is Either Regular or Stochastic	2002	Mikhail Lyubich	3
+ PDF Chat	A Computational Approach to Conley’s Decomposition Theorem	2006	Hyun-Ju Ban William D. Kalies	3
+ PDF Chat	An algorithmic approach to the construction of homomorphisms induced by maps in homology	1999	Madjid Állili Tomasz Kaczyński	3
+	The Dynamics of the Henon Map	1991	Michael Benedicks Lennart Carleson	3
+	ELEMENTS OF ALGEBRAIC TOPOLOGY	1972	Kazimierz Kuratowski	3