Maciej J. Capiński

Computer Assisted Existence Proofs of Lyapunov Orbits at $L_2$ and Transversal Intersections of Invariant Manifolds in the Jupiter--Sun PCR3BP

Maciej J. Capiński · SIAM Journal on Applied Dynamical Systems · 2012 · 38 citations

Natural Sciences, Computer Science, Mathematics +14

Existence of a Center Manifold in a Practical Domain around $L_1$ in the Restricted Three-Body Problem

Maciej J. Capiński, Pablo Roldán · SIAM Journal on Applied Dynamical Systems · 2012 · 35 citations

Natural Sciences, Mathematics, Computational Geometry +12

Computer assisted proof for normally hyperbolic invariant manifolds

Maciej J. Capiński, Carles Simó · Nonlinearity · 2012 · 27 citations · Full text

Natural Sciences, Mathematics, Physics +16

Covering relations and the existence of topologicallynormally hyperbolic invariant sets

Maciej J. Capiński · Discrete and Continuous Dynamical Systems · 2008 · 26 citations

Natural Sciences, Mathematics, Geometry +11

Computer assisted proof of the existence of the Lorenz attractor in the Shimizu–Morioka system

Maciej J. Capiński, Dmitry Turaev, Piotr Zgliczyński · Nonlinearity · 2018 · 25 citations · Full text

Natural Sciences, Mathematics, Physics +11