28 citations · 81 across the 19 of their papers we have counts for
19 papers
A Simple Example of Pathological Foliations in Skew-Product Diffeomorphisms
Zhihong Xia, Peizheng Yu
Inspired by examples of Katok and Milnor \cite{Milnor1997}, we construct simple examples of skew-product volume preserving diffeomorphism where the center foliation is pathological…
Homotopical Minimal Measures for Geodesic flows on Surfaces of Higher Genus
Fang Wang, Zhihong Xia
We study the homotopical minimal measures for positive definite autonomous Lagrangian systems. Homotopical minimal measures are action-minimizers in their homotopy classes, while t…
Asymmetry in the number of L4 and L5 Jupiter Trojans driven by jumping Jupiter
Jian Li, Zhihong Jeff Xia, Fumi Yoshida +2
Context. More than 10000 Jupiter Trojans have been detected so far. They are moving around the L4 and L5 triangular Lagrangian points of the Sun-Jupiter system and their distributi…
Large-step neural network for learning the symplectic evolution from partitioned data
Xin Li, Jian Li, Zhihong Jeff Xia +1
In this study, we focus on learning Hamiltonian systems, which involves predicting the coordinate (q) and momentum (p) variables generated by a symplectic mapping. Based on Chen &…
Machine learning prediction for mean motion resonance behaviour -- The planar case
Xin Li, Jian Li, Zhihong Jeff Xia +1
Most recently, machine learning has been used to study the dynamics of integrable Hamiltonian systems and the chaotic 3-body problem. In this work, we consider an intermediate case…
Apsidal asymmetric-alignment of Jupiter Trojans
Jian Li, Hanlun Lei, Zhihong J. Xia
The most distant Kuiper belt objects exhibit the clustering in their orbits, and this anomalous architecture could be caused by Planet 9 with large eccentricity and high inclinatio…