List of works - Paweł Pilarczyk

A dynamical model for plasma confinement transitions

scientific article published on 12 March 2012

A space-efficient algorithm for computing the minimum cycle mean in a directed graph

scientific article published on 6 March 2020

A study of rigorous ODE integrators for multi-scale set-oriented computations

scientific article published in September 2016

An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds

scientific article published in March 2015

Analysis of blood vessel topology by cubical homology

Combinatorial-topological framework for the analysis of global dynamics.

scientific article published in December 2012

Computation of Cubical Steenrod Squares

scientific article published in 2016

Computation of cubical homology, cohomology, and (co)homological operations via chain contraction

Computer Assisted Proof of the Existence of a Periodic Orbit in the Rössler Equations

scientific article published in September 2000

Computer assisted method for proving existence of periodic orbits

scientific article published in June 1999

Decomposing Cavities in Digital Volumes into Products of Cycles

Excision-preserving cubical approach to the algorithmic computation of the discrete Conley index

scientific article published in May 2008

Finite Resolution Dynamics

scientific article published on 20 January 2011

Global dynamics in a stage-structured discrete-time population model with harvesting ⬇️

scientific article published on December 21, 2011

Homology algorithm based on acyclic subspace

scientific article published in June 2008

Inducing a map on homology from a correspondence

scientific article published on 12 August 2015

Nilpotent singularities and chaos: Tritrophic food chains

scientific article published in January 2021

Parallelization Method for a Continuous Property

scientific article published on 29 July 2009

Persistent homology as a new method of the assessment of heart rate variability

scientific article published in 2021

Quantitative hyperbolicity estimates in one-dimensional dynamics

scientific article published on 11 July 2008

Recent development in rigorous computational methods in dynamical systems

scientific article published in October 2009

Rich Bifurcation Structure in a Two-Patch Vaccination Model

article by Diána H. Knipl et al published January 2015 in SIAM Journal on Applied Dynamical Systems

Rigorous numerics for critical orbits in the quadratic family

scientific article published on 01 July 2020

Shadowing is generic---a continuous map case

scientific article published in 2014

The Conley Index and Rigorous Numerics for Attracting Periodic Orbits

scientific article published in 2002

Uniform Expansivity Outside a Critical Neighborhood in the Quadratic Family

scientific article published on 4 December 2015

List of works by Paweł Pilarczyk