Tomasz Kapela

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

Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight

Tomasz Kapela, Carles Simó · Nonlinearity · 2007 · 59 citations · Full text

Discrete Geometry, Engineering, Geometry +11

The existence of simple choreographies for the<i>N</i>-body problem—a computer-assisted proof

Tomasz Kapela, Piotr Zgliczy ski · Nonlinearity · 2003 · 58 citations · Full text

Computational Complexity Theory, Engineering, Geometry +6

A Lohner-type algorithm for control systems andordinary differential inclusions

Tomasz Kapela, Piotr Zgliczyński · Discrete and Continuous Dynamical Systems - B · 2008 · 45 citations · Full text

Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems

Tomasz Kapela, Carles Simó · Nonlinearity · 2017 · 25 citations · Full text

Spectral Theory, Hamiltonian Theory, Hamiltonian Systems +10