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Daniel Wilczak
Daniel Wilczak
Computer Science and Mathematics, Jagiellonian University
Verified email at ii.uj.edu.pl - Homepage
Title
Cited by
Cited by
Year
Heteroclinic connections between periodic orbits in planar restricted circular three-body problem–a computer assisted proof
D Wilczak, P Zgliczynski
Communications in mathematical physics 234 (1), 37-75, 2003
1362003
C^r-Lohner algorithm
D Wilczak, P Zgliczyński
Schedae Informaticae 20, 9-46, 2011
84*2011
CAPD:: DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems
T Kapela, M Mrozek, D Wilczak, P Zgliczyński
Communications in nonlinear science and numerical simulation 101, 105578, 2021
74*2021
The existence of Shilnikov homoclinic orbits in the Michelson system: a computer assisted proof
D Wilczak
Foundations of Computational Mathematics 6 (4), 495-535, 2006
712006
When chaos meets hyperchaos: 4D Rössler model
R Barrio, MA Martínez, S Serrano, D Wilczak
Physics Letters A 379 (38), 2300-2305, 2015
582015
Heteroclinic connections between periodic orbits in planar restricted circular three body problem. Part II
D Wilczak, P Zgliczyński
Communications in mathematical physics 259 (3), 561-576, 2005
552005
Uniformly hyperbolic attractor of the Smale-Williams type for a Poincarč map in the Kuznetsov system
D Wilczak
SIAM Journal on Applied Dynamical Systems 9 (4), 1263-1283, 2010
532010
Rigorous verification of cocoon bifurcations in the Michelson system
H Kokubu, D Wilczak, P Zgliczyński
Nonlinearity 20 (9), 2147, 2007
522007
Symmetric heteroclinic connections in the Michelson system: A computer assisted proof
D Wilczak
SIAM Journal on Applied Dynamical Systems 4 (3), 489-514, 2005
472005
Chaos in the Kuramoto–Sivashinsky equations—a computer-assisted proof
D Wilczak
Journal of Differential Equations 194 (2), 433-459, 2003
442003
Period doubling in the Rössler system—a computer assisted proof
D Wilczak, P Zgliczyński
Foundations of Computational Mathematics 9 (5), 611-649, 2009
402009
A rigorous lower bound for the stability regions of the quadratic map
W Tucker, D Wilczak
Physica D: Nonlinear Phenomena 238 (18), 1923-1936, 2009
302009
Computer assisted proof of the existence of homoclinic tangency for the Hénon map and for the forced damped pendulum
D Wilczak, P Zgliczyński
SIAM Journal on Applied Dynamical Systems 8 (4), 1632-1663, 2009
272009
A geometric method for infinite-dimensional chaos: Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line
D Wilczak, P Zgliczyński
Journal of Differential Equations 269 (10), 8509-8548, 2020
242020
Coexistence and dynamical connections between hyperchaos and chaos in the 4D Rossler system: a computer-assisted proof
D Wilczak, S Serrano, R Barrio
SIAM Journal on Applied Dynamical Systems 15 (1), 356-390, 2016
242016
Topological method for symmetric periodic orbits for maps with a reversing symmetry
D Wilczak, P Zgliczynski
Discrete Contin. Dyn. Syst. Ser. A 17 (3), 629-652, 2007
232007
Abundance of heteroclinic and homoclinic orbits for the hyperchaotic Rössler system
D Wilczak
Discrete Contin. Dyn. Syst. Ser. B 11 (4), 1039-1055, 2009
222009
Symmetric homoclinic solutions to the periodic orbits in the Michelson system
D Wilczak
172006
Recent advances in a rigorous computation of Poincaré maps
T Kapela, D Wilczak, P Zgliczyński
Communications in Nonlinear Science and Numerical Simulation 110, 106366, 2022
15*2022
Distribution of stable islands within chaotic areas in the non-hyperbolic and hyperbolic regimes in the Hénon–Heiles system
R Barrio, D Wilczak
Nonlinear Dynamics 102 (1), 403-416, 2020
112020
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Articles 1–20