Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems

Q Chen, R de la Llave - Nonlinearity, 2022 - iopscience.iop.org
The genericity of Arnold diffusion in the analytic category is an open problem. In this paper,
we study this problem in the following a priori unstable Hamiltonian system with a time …

Arnold diffusion in a model of dissipative system

SW Akingbade, M Gidea, T M-Seara - SIAM Journal on Applied Dynamical …, 2023 - SIAM
For a mechanical system consisting of a rotator and a pendulum coupled via a small, time-
periodic Hamiltonian perturbation, the Arnold diffusion problem asserts the existence of …

Semi-analytic construction of global transfers between quasi-periodic orbits in the spatial R3BP

A Delshams, M Gidea, P Roldan - arxiv preprint arxiv:2501.02485, 2025 - arxiv.org
Consider the spatial restricted three-body problem, as a model for the motion of a spacecraft
relative to the Sun-Earth system. We focus on the dynamics near the equilibrium point $ L_1 …

Applications of Dynamical Systems in Dissipative Mechanics and in Topological Data Analysis

SW Akingbade - 2024 - search.proquest.com
Applications of Dynamical Systems in Dissipative Mechanics and in Topological Data Analysis
Page 1 1 Abstract Applications of Dynamical Systems in Dissipative Mechanics and in …

[PDF][PDF] Some recent developments in Arnold diffusion

CQ CHENG, J XUE - Mathematical Sciences Research Institute … - library.slmath.org
Some recent developments in Arnold diffusion Page 83 Hamiltonian Systems MSRI
Publications Volume 72, 2024 Some recent developments in Arnold diffusion CHONG-QING …