Computer Assisted Existence Proofs of Lyapunov Orbits at L2 and Transversal Intersections of Invariant Manifolds in the Jupiter-Sun PCR3BP. - Maciej J. Capinski (SIAM J. Appl. Dyn. Syst., 2012)

Existence of a Center Manifold in a Practical Domain around L1 in the Restricted Three-Body Problem. - Maciej J. Capinski; Pablo Roldán (SIAM J. Appl. Dyn. Syst., 2012)

Hedging Conditional Value at Risk with options. - Maciej J. Capinski (Eur. J. Oper. Res., 2015)

Validated Computation of Heteroclinic Sets. - Maciej J. Capinski; Jason D. Mireles-James (SIAM J. Appl. Dyn. Syst., 2017)

Computer-Assisted Proof of Shil'nikov Homoclinics: With Application to the Lorenz-84 Model. - Maciej J. Capinski; Anna Wasieczko-Zajac (SIAM J. Appl. Dyn. Syst., 2017)

Computer assisted proof of drift orbits along normally hyperbolic manifolds. - Maciej J. Capinski; Jorge Gonzalez; Jean-Pierre Marco; Jason D. Mireles-James (Commun. Nonlinear Sci. Numer. Simul., 2022)

Computer assisted proof of drift orbits along normally hyperbolic manifolds II: Application to the restricted three body problem. - Maciej J. Capinski; Natalia Wodka-Cholewa (Commun. Nonlinear Sci. Numer. Simul., 2022)

Computer assisted proofs in dynamical systems. - Maciej J. Capinski; Jason D. Mireles-James; Warwick Tucker; Daniel Wilczak; Jan Bouwe van den Berg (Commun. Nonlinear Sci. Numer. Simul., 2023)

Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant. - Inmaculada Baldomá; Maciej J. Capinski; Marcel Guardia; Tere M. Seara (J. Nonlinear Sci., 2023)

Arnold Diffusion in the Full Three-Body Problem. - Maciej J. Capinski; Marian Gidea (CoRR, 2025)

Oscillatory collision approach in the Earth-Moon restricted three body problem. - Maciej J. Capinski; Aleksander Pasiut (Commun. Nonlinear Sci. Numer. Simul., 2026)