Most significant publications
- Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczyński, CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems, Communications in Nonlinear Science and Numerical Simulation 101 (2021), 105578
- Daniel Wilczak, Piotr Zgliczyński, A geometric method for infinite-dimensional chaos: Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line, Journal of Differential Equations 269 (2020), 8509-8548
- Roberto Barrio, Sergio Serrano, Daniel Wilczak, Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof, SIAM Journal on Applied Dynamical Systems 15 (2016), 356-390
- Daniel Wilczak, Uniformly hyperbolic attractor of the Smale-Williams type for a Poincaré map in the Kuznetsov system, SIAM Journal on Applied Dynamical Systems 9 (2010), 1263-1283
- Daniel Wilczak, The existence of Shilnikov homoclinic orbits in the Michelson system: a computer assisted proof, Foundations of Computational Mathematics 6 (2006), 495-535
Recent publications
- Daniel Wilczak, Maciej Capiński, Warwick Tucker, Jason D. Mireles James, Jan Bouwe van den Berg, Computer assisted proofs in dynamical systems, Communications in Nonlinear Science and Numerical Simulation 118 (2023), 106998
- Tomasz Kapela, Daniel Wilczak, Piotr Zgliczyński, Recent advances in a rigorous computation of Poincaré maps, Communications in Nonlinear Science and Numerical Simulation 110 (2022), 106366
- Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczyński, CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems, Communications in Nonlinear Science and Numerical Simulation 101 (2021), 105578
- Roberto Barrio, Daniel Wilczak, Distribution of stable islands within chaotic areas in the non-hyperbolic and hyperbolic regimes in the Henon-Heiles system, Nonlinear Dynamics 102 (2020), 403-416
- Daniel Wilczak, Piotr Zgliczyński, A geometric method for infinite-dimensional chaos: Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line, Journal of Differential Equations 269 (2020), 8509-8548
Interests
rigorous numerics for dynamical systems
Daniel Wilczak
academic degree/title Doctor of Science positionresearch and faculty staff member group, university professor
unit
- Division of Computational Mathematics
- Institute of Computer Science and Computational Mathematics
daniel.wilczak@uj.edu.pl
www