Tomasz Kapela
Tomasz Kapela
Institute of Computer Science and Computational Mathematics, Jagiellonian University
Підтверджена електронна адреса в ii.uj.edu.pl - Домашня сторінка
Назва
Посилання
Посилання
Рік
The existence of simple choreographies for the N-body problem—a computer-assisted proof
T Kapela, P Zgliczyński
Nonlinearity 16 (6), 1899-1918, 2003
652003
Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight
T Kapela, C Simó
Nonlinearity 20 (5), 1241-1255, 2007
632007
A Lohner-type algorithm for control systems and ordinary differential inclusions
T Kapela, P Zgliczynski
Discrete Cont. Dyn. Sys. B 11, 365-385, 2009
61*2009
Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems
T Kapela, C Simó
Nonlinearity 30 (3), 965, 2017
18*2017
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, 105578, 2020
122020
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
102019
N-BODY choreographies with a reflectional symmetry-computer assisted existence proofs
T Kapela
EQUADIFF 2003, 999-1004, 2005
92005
CAPD-a rigorous toolbox for computer assisted proofs in dynamics
T Kapela, M Mrozek, P Pilarczyk, D Wilczak, P Zgliczynski
Technical report, 2010
72010
Rigorous computation of Poincaré maps
T Kapela, D Wilczak, P Zgliczynski
preprint, 2015
22015
A rigorous numerical algorithm for controllability
F Colonius, T Kapela
Taming Heterogeneity and Complexity of Embedded Control CTS-HYCON Workshop …, 2007
22007
Recent advances in rigorous computation of Poincar\'e maps
T Kapela, D Wilczak, P Zgliczyński
arXiv preprint arXiv:2104.08046, 2021
2021
Rigorous method for the global dynamics of the semelparous species
T KAPELA
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