Daniel Wilczak

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 11

Top Topics

Dynamical Systems

Numerical Analysis

Computer Assisted

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

SIAM J. Appl. Dyn. Syst.

Appl. Math. Comput.

Publications

Daniel Wilczak, Piotr Zgliczynski
Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line II. CoRR (2024)
Maciej J. Capinski, Jason D. Mireles-James, Warwick Tucker, Daniel Wilczak, Jan Bouwe van den Berg
Computer assisted proofs in dynamical systems. Commun. Nonlinear Sci. Numer. Simul. 118 (2023)
Tomasz Kapela, Daniel Wilczak, Piotr Zgliczynski
Recent advances in a rigorous computation of Poincaré maps. Commun. Nonlinear Sci. Numer. Simul. 110 (2022)
Tomasz Kapela, Daniel Wilczak, Piotr Zgliczynski
Recent advances in rigorous computation of Poincaré maps. CoRR (2021)
Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczynski
CAPD: : DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems. Commun. Nonlinear Sci. Numer. Simul. 101 (2021)
Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczynski
CAPD: : DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems. CoRR (2020)
Irmina Walawska, Daniel Wilczak
Validated numerics for period-tupling and touch-and-go bifurcations of symmetric periodic orbits in reversible systems. Commun. Nonlinear Sci. Numer. Simul. 74 (2019)
Daniel Wilczak, Roberto Barrio
Systematic Computer-Assisted Proof of Branches of Stable Elliptic Periodic Orbits and Surrounding Invariant Tori. SIAM J. Appl. Dyn. Syst. 16 (3) (2017)
Daniel Wilczak, Sergio Serrano, Roberto Barrio
Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof. SIAM J. Appl. Dyn. Syst. 15 (1) (2016)
Daniel Wilczak, Piotr Zgliczynski
Connecting Orbits for a Singular Nonautonomous Real Ginzburg-Landau Type Equation. SIAM J. Appl. Dyn. Syst. 15 (1) (2016)
Irmina Walawska, Daniel Wilczak
An implicit algorithm for validated enclosures of the solutions to variational equations for ODEs. Appl. Math. Comput. 291 (2016)
Daniel Wilczak
Uniformly Hyperbolic Attractor of the Smale-Williams Type for a Poincaré Map in the Kuznetsov System. SIAM J. Appl. Dyn. Syst. 9 (4) (2010)
Daniel Wilczak, Piotr Zgliczynski
Period Doubling in the Rössler System - A Computer Assisted Proof. Found. Comput. Math. 9 (5) (2009)
Daniel Wilczak, Piotr Zgliczynski
Computer Assisted Proof of the Existence of Homoclinic Tangency for the Hénon Map and for the Forced Damped Pendulum. SIAM J. Appl. Dyn. Syst. 8 (4) (2009)
Daniel Wilczak
The Existence of Shilnikov Homoclinic Orbits in the Michelson System: A Computer Assisted Proof. Found. Comput. Math. 6 (4) (2006)
Daniel Wilczak
Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof. SIAM J. Appl. Dyn. Syst. 4 (3) (2005)