6 citations · 8 across the 3 of their papers we have counts for
3 papers
math.DS2025
Arnold Diffusion in the Full Three-Body Problem
Maciej J. Capinski, Marian Gidea
The full three-body problem, on the motion of three celestial bodies under their mutual gravitational attraction, is one of the oldest unsolved problems in classical mechanics. The…
math.DS2021★ 6 cited
Computer Assisted Proof of Drift Orbits Along Normally Hyperbolic Manifolds
Maciej J. Capinski, Jorge Gonzalez, Jean-Pierre Marco +1
Normally hyperbolic invariant manifolds theory provides an efficient tool for proving diffusion in dynamical systems. In this paper we develop a methodology for computer assisted p…
math.DS2014★ 2 cited
Geometric Proof of Strong Stable/Unstable Manifolds, with Application to the Restricted Three Body Problem
M. J. Capiński, A. Wasieczko
We present a method for establishing invariant manifolds for saddle--center fixed points. The method is based on cone conditions, suitably formulated to allow for application in co…