Tomasz Kapela Homepage
Jagiellonian University
Institute of Computer Science
Tomasz Kapela

List of publications

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Preprints

T. Kapela
Rigorous method for the global dynamics of the semelparous species,
preprint
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Papers

D. Woukeng, D. Sadowski, J. Leśkiewicz, M. Lipiński and T. Kapela,
Rigorous computation in dynamics based on topological methods for multivector fields
(in review)
T. Kapela, D. Wilczak, P. Zgliczyński,
Recent advances in rigorous computation of Poincaré maps
Communications in Nonlinear Science and Numerical Simulation (2022), 106366
DOI preprint
T. Kapela, M. Mrozek, D. Wilczak, P. Zgliczyński,
CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems
Communications in Nonlinear Science and Numerical Simulation (2021), 105578
DOI preprint
T. Dey, M. Juda, T. Kapela, J. Kubica, M. Lipiński, M. Mrozek,
Persistent Homology of Morse Decompositions in Combinatorial Dynamics,
SIAM Journal on Applied Dynamical Systems 18-1 (2019), pp. 510-530
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T. Kapela, C. Simo,
Rigorous KAM results around arbitrary periodic orbits for Hamiltonian Systems,
Nonlinearity 30 (2017) 965-986.
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Source code | | installation instructions
T. Kapela, P. Zgliczyński,
A Lohner-type algorithm for control systems and ordinary differential inclusions,
Discrete and Continuous Dynamical Systems B, 11 (2009), 365-385.
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T. Kapela, C. Simo,
Computer assisted proofs for non-symmetric planar choreographies and for stability of the Eight ,
Nonlinearity 20 (2007) 1241-1255.
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Source code | | installation instructions | | results of computations.
F. Colonius, T. Kapela,
A rigorous numerical algorithm for controllability,
Taming Heterogeneity and Complexity of Embedded Control
CTS-HYCON Workshop on Nonlinear and Hybrid Control,
International Scientific & Technical Encyclopedia (ISTE), 2007, p.157-170.
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T. Kapela,
N-BODY choreographies with a reflectional symmetry - computer assisted existence proofs,
EQUADIFF 2003, Proceedings of the International Conference on Differential Equations,
Hasselt, Belgium 22 - 26 July 2003, p. 999-1005
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T. Kapela, P. Zgliczyński,
The existence of simple choreographies for the N-body problem - a computer assisted proof,
Nonlinearity 16 (2003) 1899-1918.
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T. Kapela,
Hazardowa wersja gry Penney'a ,
Annales Academiae Paedagogicae Cracoviensis, Studia Ad Calculum Probabilitatis Eiusque Didacticam Perinentia I(2002), folia 5.
Abstract