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2020 – today
- 2024
[i4]Daniel Wilczak, Piotr Zgliczynski:
Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line II. CoRR abs/2405.17087 (2024)- [i3]Patryk Krukowski, Daniel Wilczak, Jacek Tabor, Anna Bielawska, Przemyslaw Spurek:
Make Interval Bound Propagation great again. CoRR abs/2410.03373 (2024) - 2023
- [j13]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: 106998 (2023) - 2022
- [j12]Tomasz Kapela, Daniel Wilczak, Piotr Zgliczynski:
Recent advances in a rigorous computation of Poincaré maps. Commun. Nonlinear Sci. Numer. Simul. 110: 106366 (2022) - 2021
- [j11]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: 105578 (2021) - [i2]Tomasz Kapela, Daniel Wilczak, Piotr Zgliczynski:
Recent advances in rigorous computation of Poincaré maps. CoRR abs/2104.08046 (2021) - 2020
- [i1]Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczynski:
CAPD: : DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems. CoRR abs/2010.07097 (2020)
2010 – 2019
- 2019
- [j10]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: 30-54 (2019) - 2017
- [j9]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): 1618-1649 (2017) - 2016
- [j8]Irmina Walawska, Daniel Wilczak:
An implicit algorithm for validated enclosures of the solutions to variational equations for ODEs. Appl. Math. Comput. 291: 303-322 (2016) - [j7]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): 356-390 (2016) - [j6]Daniel Wilczak, Piotr Zgliczynski:
Connecting Orbits for a Singular Nonautonomous Real Ginzburg-Landau Type Equation. SIAM J. Appl. Dyn. Syst. 15(1): 495-525 (2016) - 2010
- [j5]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): 1263-1283 (2010)
2000 – 2009
- 2009
- [j4]Daniel Wilczak, Piotr Zgliczynski:
Period Doubling in the Rössler System - A Computer Assisted Proof. Found. Comput. Math. 9(5): 611-649 (2009) - [j3]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): 1632-1663 (2009) - 2006
- [j2]Daniel Wilczak:
The Existence of Shilnikov Homoclinic Orbits in the Michelson System: A Computer Assisted Proof. Found. Comput. Math. 6(4): 495-535 (2006) - 2005
- [j1]Daniel Wilczak:
Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof. SIAM J. Appl. Dyn. Syst. 4(3): 489-514 (2005)
Coauthor Index
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