Daniel Wilczak

20 papers Journal 20
YearRankTypeTitle / Venue / Authors
2025 J jnl
A mechanism for growth of topological entropy and global changes of the shape of chaotic attractors.
CoRR
Daniel Wilczak, Sergio Serrano, Roberto Barrio
2025 J jnl
Continuation and bifurcations of periodic orbits and symbolic dynamics in the Swift-Hohenberg equation.
Commun. Nonlinear Sci. Numer. Simul.
Jakub Czwórnóg, Daniel Wilczak
2025 J jnl
Self-consistent bounds method for dissipative PDEs.
CoRR
Daniel Wilczak, Piotr Zgliczynski
2024 J jnl
Make Interval Bound Propagation great again.
CoRR
Patryk Krukowski, Daniel Wilczak, Jacek Tabor, Anna Bielawska, Przemyslaw Spurek
2024 J jnl
Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line II.
CoRR
Daniel Wilczak, Piotr Zgliczynski
2023 J jnl
Computer assisted proofs in dynamical systems.
Commun. Nonlinear Sci. Numer. Simul.
Maciej J. Capinski, Jason D. Mireles-James, Warwick Tucker, Daniel Wilczak, Jan Bouwe van den Berg
2022 J jnl
Recent advances in a rigorous computation of Poincaré maps.
Commun. Nonlinear Sci. Numer. Simul.
Tomasz Kapela, Daniel Wilczak, Piotr Zgliczynski
2021 J jnl
CAPD: : DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems.
Commun. Nonlinear Sci. Numer. Simul.
Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczynski
2021 J jnl
Recent advances in rigorous computation of Poincaré maps.
CoRR
Tomasz Kapela, Daniel Wilczak, Piotr Zgliczynski
2020 J jnl
CAPD: : DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems.
CoRR
Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczynski
2019 J jnl
Validated numerics for period-tupling and touch-and-go bifurcations of symmetric periodic orbits in reversible systems.
Commun. Nonlinear Sci. Numer. Simul.
Irmina Walawska, Daniel Wilczak
2017 J jnl
Systematic Computer-Assisted Proof of Branches of Stable Elliptic Periodic Orbits and Surrounding Invariant Tori.
SIAM J. Appl. Dyn. Syst.
Daniel Wilczak, Roberto Barrio
2016 J jnl
An implicit algorithm for validated enclosures of the solutions to variational equations for ODEs.
Appl. Math. Comput.
Irmina Walawska, Daniel Wilczak
2016 J jnl
Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof.
SIAM J. Appl. Dyn. Syst.
Daniel Wilczak, Sergio Serrano, Roberto Barrio
2016 J jnl
Connecting Orbits for a Singular Nonautonomous Real Ginzburg-Landau Type Equation.
SIAM J. Appl. Dyn. Syst.
Daniel Wilczak, Piotr Zgliczynski
2010 J jnl
Uniformly Hyperbolic Attractor of the Smale-Williams Type for a Poincaré Map in the Kuznetsov System.
SIAM J. Appl. Dyn. Syst.
Daniel Wilczak
2009 J jnl
Computer Assisted Proof of the Existence of Homoclinic Tangency for the Hénon Map and for the Forced Damped Pendulum.
SIAM J. Appl. Dyn. Syst.
Daniel Wilczak, Piotr Zgliczynski
2009 J jnl
Period Doubling in the Rössler System - A Computer Assisted Proof.
Found. Comput. Math.
Daniel Wilczak, Piotr Zgliczynski
2006 J jnl
The Existence of Shilnikov Homoclinic Orbits in the Michelson System: A Computer Assisted Proof.
Found. Comput. Math.
Daniel Wilczak
2005 J jnl
Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof.
SIAM J. Appl. Dyn. Syst.
Daniel Wilczak