2 papers
math.DS2025
Branches and bifurcations of ejection-collision orbits in the planar circular restricted three body problem
Gianni Arioli, James D. Mireles James
The goal of this paper it to prove existence theorems for one parameter families (branches) of ejection-collision orbits in the planar circular restricted three body problem (CRTBP…
math.DS2024
Validated enclosure of renormalization fixed points via Chebyshev series and the DFT
Maxime Breden, Jorge Gonzalez, J. D Mireles James
This work develops a computational framework for proving existence, uniqueness, isolation, and stability results for real analytic fixed points of -th order Feigenbaum-Cvitanovi…