Daniel Wilczak
Daniel Wilczak
Computer Science and Mathematics, Jagiellonian University
Verified email at ii.uj.edu.pl - Homepage
TitleCited byYear
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
1012003
C^r-Lohner algorithm
D Wilczak, P Zgliczyński
Schedae Informaticae 20, 9-46, 2011
56*2011
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
522006
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
422005
Rigorous verification of cocoon bifurcations in the Michelson system
H Kokubu, D Wilczak, P Zgliczyński
Nonlinearity 20 (9), 2147, 2007
412007
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
392010
Symmetric heteroclinic connections in the Michelson system: A computer assisted proof
D Wilczak
SIAM Journal on Applied Dynamical Systems 4 (3), 489-514, 2005
352005
Chaos in the Kuramoto–Sivashinsky equations—a computer-assisted proof
D Wilczak
Journal of Differential Equations 194 (2), 433-459, 2003
322003
Period doubling in the Rössler system—a computer assisted proof
D Wilczak, P Zgliczyński
Foundations of Computational Mathematics 9 (5), 611-649, 2009
262009
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
252009
When chaos meets hyperchaos: 4D Rössler model
R Barrio, MA Martínez, S Serrano, D Wilczak
Physics Letters A 379 (38), 2300-2305, 2015
242015
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
182007
Abundance of heteroclinic and homoclinic orbits for the hyperchaotic Rössler system
D Wilczak
Discrete Contin. Dyn. Syst. Ser. B 11 (4), 1039-1055, 2009
172009
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
162009
Symmetric homoclinic solutions to the periodic orbits in the Michelson system
D Wilczak
Topological Methods in Nonlinear Analysis 28 (1), 155-170, 2006
102006
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
92016
Connecting orbits for a singular nonautonomous real Ginzburg-Landau type equation
D Wilczak, P Zgliczyński
SIAM Journal on Applied Dynamical Systems 15 (1), 495-525, 2016
6*2016
An implicit algorithm for validated enclosures of the solutions to variational equations for ODEs
I Walawska, D Wilczak
Applied Mathematics and Computation 291, 303-322, 2016
5*2016
Capd-a rigorous toolbox for computer assisted proofs in dynamics
T Kapela, M Mrozek, P Pilarczyk, D Wilczak, P Zgliczynski
Technical report, 2010
52010
Rigorous numerics for homoclinic dynamics
D Wilczak
The Joint Conference of ASCM 2009 and MACIS 2009, 301–305, 2009
32009
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Articles 1–20