A Lohner-type algorithm for control systems and ordinary differential inclusions T Kapela, P Zgliczynski Discrete Cont. Dyn. Sys. B 11, 365-385, 2009 | 75* | 2009 |
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 | 73 | 2021 |
The existence of simple choreographies for the N-body problem—a computer-assisted proof T Kapela, P Zgliczyński Nonlinearity 16 (6), 1899-1918, 2003 | 72 | 2003 |
Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight T Kapela, C Simó Nonlinearity 20 (5), 1241-1255, 2007 | 69 | 2007 |
Persistent homology of Morse decompositions in combinatorial dynamics TK Dey, M Juda, T Kapela, J Kubica, M Lipiński, M Mrozek SIAM Journal on Applied Dynamical Systems 18 (1), 510-530, 2019 | 29 | 2019 |
Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems T Kapela, C Simó Nonlinearity 30 (3), 965, 2017 | 29* | 2017 |
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 | 17 | 2022 |
N-BODY choreographies with a reflectional symmetry-computer assisted existence proofs T Kapela EQUADIFF 2003, 999-1004, 2005 | 11 | 2005 |
CAPD–a rigorous toolbox for Computer Assisted Proofs in Dynamics T Kapela, M Mrozek, P Pilarczyk, D Wilczak, P Zgliczynski Technical report, 2010 | 10 | 2010 |
Rigorous computation of Poincaré maps T Kapela, D Wilczak, P Zgliczynski preprint, 2015 | 2 | 2015 |
A rigorous numerical algorithm for controllability F Colonius, T Kapela Taming Heterogeneity and Complexity of Embedded Control CTS-HYCON Workshop …, 2007 | 2* | 2007 |
Rigorous computation in dynamics based on topological methods for multivector fields D Woukeng, D Sadowski, J Leśkiewicz, M Lipiński, T Kapela Journal of Applied and Computational Topology, 1-34, 2023 | 1 | 2023 |
Rigorous method for the global dynamics of the semelparous species T KAPELA | | |