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math.NA2021★ 16 cited
Recent advances in rigorous computation of Poincaré maps
Tomasz Kapela, Daniel Wilczak, Piotr Zgliczyński
In this article we present recent advances on interval methods for rigorous computation of Poincaré maps. We also discuss the impact of choice of Poincaré section and coordinate sy…
math.NA2020★ 78 cited
CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems
Tomasz Kapela, Marian Mrozek, Daniel Wilczak +1
We present the CAPD::DynSys library for rigorous numerical analysis of dynamical systems. The basic interface is described together with several interesting case studies illustrati…