Sun–Jupiter–Saturn System May Exist: A Verified Computation of Quasiperiodic Solutions for the Planar Three-Body Problem
JL Figueras, A Haro - Journal of Nonlinear Science, 2025 - Springer
In this paper, we present evidence of the stability of a model of our Solar System when
taking into account the two biggest planets, a planar (Newtonian) Sun–Jupiter–Saturn …
taking into account the two biggest planets, a planar (Newtonian) Sun–Jupiter–Saturn …
Research on shape-controllable generalized multi-cluster Hamiltonian conservative chaotic flow systems and their FPGA implementation
M Yan, S Li - The European Physical Journal Plus, 2024 - Springer
This study delves into the utilization of Hamiltonian energy in generalized conservative
chaotic systems, innovatively constructing a class of shape-controllable generalized multi …
chaotic systems, innovatively constructing a class of shape-controllable generalized multi …
A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems
We present an algorithm for the construction of lower dimensional elliptic tori in parametric
Hamiltonian systems by means of the parametrization method with the tangent and normal …
Hamiltonian systems by means of the parametrization method with the tangent and normal …
Attracting invariant tori and analytic conjugacies
H Koch - Journal of Differential Equations, 2024 - Elsevier
We consider the problem of conjugating a flow on R d× R to an “integrable” flow q˙= ω and
p˙= cp, if possible, with c≠ 0. Our emphasis is on a constructive approach, using a KAM type …
p˙= cp, if possible, with c≠ 0. Our emphasis is on a constructive approach, using a KAM type …
On the convergence of flow map parameterization methods in Hamiltonian systems
Á Fernández-Mora, A Haro, JM Mondelo - arXiv preprint arXiv:2411.11772, 2024 - arxiv.org
In this work, we obtain an a-posteriori theorem for the existence of partly hyperbolic invariant
tori in analytic Hamiltonian systems: autonomous, periodic, and quasi-periodic. The method …
tori in analytic Hamiltonian systems: autonomous, periodic, and quasi-periodic. The method …