Daniel Wilczak

Heteroclinic Connections Between Periodic Orbits in Planar Restricted Circular Three-Body Problem - A Computer Assisted Proof

Daniel Wilczak, Piotr Zgliczyński · Communications in Mathematical Physics · 2003 · 105 citations · Full text

Celestial Mechanic, Geometry, Computer Assisted Proof

CAPD::DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems

Tomasz Kapela, Marian Mrożek, Daniel Wilczak et al. · Communications in Nonlinear Science and Numerical Simulation · 2020 · 71 citations · Full text

Numerical Analysis, Flexible C++ Toolbox, Deterministic Dynamical System +8

The Existence of Shilnikov Homoclinic Orbits in the Michelson System: A Computer Assisted Proof

Daniel Wilczak · Foundations of Computational Mathematics · 2006 · 48 citations · Full text

Geometry, Computer Assisted Proof, Michelson System +5

Rigorous verification of cocoon bifurcations in the Michelson system

Hiroshi Kokubu, Daniel Wilczak, Piotr Zgliczyński · Nonlinearity · 2007 · 42 citations · Full text

Michelson System, Discrete Dynamical System, Topological Dynamic +5

When chaos meets hyperchaos: 4D Rössler model

Roberto Barrio, M. A. Martínez, Sergio Serrano et al. · Physics Letters A · 2015 · 39 citations · Full text

Chaos Meets, High-dimensional Chaos, Chaotic Mixing +1