Daniel Wilczak

According to our database, Daniel Wilczak authored at least 15 papers between 2005 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

Make Interval Bound Propagation great again.

Patryk Krukowski, Daniel Wilczak, Jacek Tabor, Anna Bielawska, Przemyslaw Spurek

CoRR, 2024

Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line II.

Daniel Wilczak, Piotr Zgliczynski

CoRR, 2024

2023

Computer assisted proofs in dynamical systems.

Maciej J. Capinski, Jason D. Mireles-James, Warwick Tucker, Daniel Wilczak, Jan Bouwe van den Berg

Commun. Nonlinear Sci. Numer. Simul., April, 2023

2022

Recent advances in a rigorous computation of Poincaré maps.

Tomasz Kapela, Daniel Wilczak, Piotr Zgliczynski

Commun. Nonlinear Sci. Numer. Simul., 2022

2021

CAPD: : DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems.

Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczynski

Commun. Nonlinear Sci. Numer. Simul., 2021

2019

Validated numerics for period-tupling and touch-and-go bifurcations of symmetric periodic orbits in reversible systems.

Irmina Walawska, Daniel Wilczak

Commun. Nonlinear Sci. Numer. Simul., 2019

2017

Systematic Computer-Assisted Proof of Branches of Stable Elliptic Periodic Orbits and Surrounding Invariant Tori.

Daniel Wilczak, Roberto Barrio

SIAM J. Appl. Dyn. Syst., 2017

2016

Connecting Orbits for a Singular Nonautonomous Real Ginzburg-Landau Type Equation.

Daniel Wilczak, Piotr Zgliczynski

SIAM J. Appl. Dyn. Syst., 2016

Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof.

Daniel Wilczak, Sergio Serrano, Roberto Barrio

SIAM J. Appl. Dyn. Syst., 2016

An implicit algorithm for validated enclosures of the solutions to variational equations for ODEs.

Irmina Walawska, Daniel Wilczak

Appl. Math. Comput., 2016

2010

Uniformly Hyperbolic Attractor of the Smale-Williams Type for a Poincaré Map in the Kuznetsov System.

Daniel Wilczak

SIAM J. Appl. Dyn. Syst., 2010

2009

Computer Assisted Proof of the Existence of Homoclinic Tangency for the Hénon Map and for the Forced Damped Pendulum.

Daniel Wilczak, Piotr Zgliczynski

SIAM J. Appl. Dyn. Syst., 2009

Period Doubling in the Rössler System - A Computer Assisted Proof.

Daniel Wilczak, Piotr Zgliczynski

Found. Comput. Math., 2009

2006

The Existence of Shilnikov Homoclinic Orbits in the Michelson System: A Computer Assisted Proof.

Daniel Wilczak

Found. Comput. Math., 2006

2005

Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof.

Daniel Wilczak

SIAM J. Appl. Dyn. Syst., 2005