Cover Image

Arnold diffusion in the elliptic Hill four-body problem: geometric method and numerical verification

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Burgos, Jaime, Gidea, Marian, Sierpe, Claudio
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Energy Transport in Random Perturbations of Mechanical Systems
by: Cherubini, Anna Maria, et al.
Published: (2024)

Arnold Diffusion in the Full Three-Body Problem
by: Capinski, Maciej J., et al.
Published: (2025)

Geometric, topological and dynamical properties of conformally symplectic systems, normally hyperbolic invariant manifolds, and scattering maps
by: Gidea, Marian, et al.
Published: (2025)

A degenerate Arnold diffusion mechanism in the Restricted 3 Body Problem
by: Guardia, Marcel, et al.
Published: (2023)

Periodic orbits near collision in a restricted four-body problem for the eight choreography
by: Bengochea, Abimael, et al.
Published: (2024)

Semi-analytic construction of global transfers between quasi-periodic orbits in the spatial R3BP
by: Delshams, Amadeu, et al.
Published: (2025)

Partially hyperbolic dynamics in the 3-body problem
by: Guardia, Marcel, et al.
Published: (2025)

Contact geometry of Hill's approximation in a spatial restricted four-body problem
by: Aydin, Cengiz
Published: (2024)

Linear stability of inner case of double averaged spatial restricted elliptic three body problem
by: Huang, Xiumin, et al.
Published: (2023)

The dynamics around the collinear points of the elliptic three-body problem: A normal form approach
by: Celletti, Alessandra, et al.
Published: (2025)

Analysis of pitchfork bifurcations and symmetry breaking in the elliptic restricted three-body problem
by: Shu, Haozhe, et al.
Published: (2025)

On the finiteness issue of four-body balanced configurations in the plane
by: Wang, Yuchen, et al.
Published: (2024)

Symmetric solutions of the $n$-body problem: a numerical study of Floquet multipliers and Morse indices
by: Berti, Diego, et al.
Published: (2025)

Stability analysis of spatial perturbed elliptic restricted 3-body problem with double-averaging
by: Luo, Yan, et al.
Published: (2024)

Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem
by: Iuorio, Annalisa, et al.
Published: (2017)

Cyclicity of centers on center manifolds in a 3D chaotic system with a four-wing attractor
by: Gusson, Vitor, et al.
Published: (2026)

Orbits of the three-body problem with large potential
by: Moeckel, Richard
Published: (2026)

Partially rigid motions in the n-body problem
by: Moeckel, Richard
Published: (2024)

Chaotic dynamics for the two body problem on a sphere
by: Bolotin, Sergey
Published: (2025)

No infinite spin for total collisions in the spatial N-body problem
by: Pinzari, Gabriella, et al.
Published: (2026)

Decay of Correlations for some Non-Uniformly Hyperbolic Attractors
by: Burgos, Sebastian
Published: (2023)

On the structure of the Birkhoff-irregular set for subshifts of finite type
by: Burgos, Sebastian
Published: (2024)

Stability of equilibrium points in modified elliptic restricted three-body problem with various perturbation sources
by: Saputra, M. B., et al.
Published: (2026)

Renormalization of circle maps and smoothness of Arnold tongues
by: Goncharuk, Nataliya, et al.
Published: (2023)

Regularizable collinear periodic solutions in the $n$-body problem with arbitrary masses
by: Yu, Guowei
Published: (2022)

Arnold diffusion for an a priori unstable Hamiltonian system with 3 $+$ 1/2 degrees of freedom
by: Delshams, Amadeu, et al.
Published: (2023)

KANDy: Kolmogorov-Arnold Networks and Dynamical System Discovery
by: Slote, Kevin, et al.
Published: (2026)

Bifurcations of planar balanced configurations for the $n$-body problem in $\mathbb{R}^4$
by: Kormanna, Katharina, et al.
Published: (2025)

Comet and moon solutions in the time-dependent restricted $(n+1)$-body problem
by: Barrera, Carlos, et al.
Published: (2020)

Thick Arnold tongues
by: Levi, Mark, et al.
Published: (2024)

Foliated Plateau problems, geometric rigidity and equidistribution of closed $k$-surfaces
by: Alvarez, Sébastien
Published: (2025)

Branches and bifurcations of ejection-collision orbits in the planar circular restricted three body problem
by: Arioli, Gianni, et al.
Published: (2024)

A universal method to approach the Poincaré center problem
by: García, Isaac A., et al.
Published: (2026)

Invariant manifolds of degenerate tori and double parabolic orbits to infinity in the (n+2)-body problem
by: Baldomá, Immaculada, et al.
Published: (2024)

Exploring Logistic Functions as Robust Alternatives to Hill Functions in Genetic Network Modeling
by: Belgacem, Ismail
Published: (2025)

Singular geometric averages for ergodic multiflows
by: Bychkov, I. V., et al.
Published: (2026)

Dynamics Around the Earth-Moon Triangular Points in the Hill Restricted 4-Body Problem
by: Peterson, Luke T., et al.
Published: (2024)

Boundedness and simple connectivity of the basins of attraction for some numerical methods
by: Canela, Jordi, et al.
Published: (2025)

Measures of intermediate pressures for geometric Lorenz attractors
by: Shi, Yi, et al.
Published: (2024)

A kernel method for the learning of Wasserstein geometric flows
by: Hu, Jianyu, et al.
Published: (2025)