Ph.D. thesis (2003): |
The covering relations method in rigorous numerical analysis of differential equations |
Research interests: |
Qualitative Theory of Differential Equations, Algebraic Topology, Numerical Methods, Computer Assisted Proofs in Dynamical Systems |
Position: | Associate Professor |
Selected publications:
Wilczak D., Zgliczyński P., Heteroclinic Connections between Periodic Orbits in Planar Circular Restricted Three Body Problem - part II, Communications in Mathematical Physics, 259,3 (2005), 561-576.
Wilczak D., Symmetric heteroclinic connections in the Michelson system - a computer assisted proof, SIAM Journal on Applied Dynamical Systems, .4,3 (2005), 489-514.
Wilczak D., Chaos in the Kuramoto-Sivashinsky equations - a computer assisted proof, Journal of Differential Equations, 194 (2003), 433-459.
Wilczak D., Zgliczyński P., Heteroclinic Connections between Periodic Orbits in Planar Circular Restricted Three Body Problem - A Computer Assisted Proof, Communications in Mathematical Physics, 234,1 (2003), 37-75.
Wilczak D., Computer assisted proof of chaotic dynamics in the R”ssler map, Topological Methods in Nonlinear Analysis, 18 (2001), 183-190.