Zobrazeno 1 - 10
of 115
pro vyhledávání: '"Xia, Zhihong"'
In the fields of computational mathematics and artificial intelligence, the need for precise data modeling is crucial, especially for predictive machine learning tasks. This paper explores further XNet, a novel algorithm that employs the complex-valu
Externí odkaz:
http://arxiv.org/abs/2410.02033
In some recent work, we provided a quantitative explanation for the number asymmetry of Jupiter Trojans by hypothesizing a free-floating planet (FFP) flyby into the Solar System. In support of that explanation, this paper examines the influence of th
Externí odkaz:
http://arxiv.org/abs/2410.00326
We have developed a novel activation function, named the Cauchy Activation Function. This function is derived from the Cauchy Integral Theorem in complex analysis and is specifically tailored for problems requiring high precision. This innovation has
Externí odkaz:
http://arxiv.org/abs/2409.19221
Autor:
Xia, Zhihong, Yu, Peizheng
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 in the sense that, there is a full measure set whose intersection wit
Externí odkaz:
http://arxiv.org/abs/2404.18495
Autor:
Zhou, Tingjie, Xia, Zhihong
As an application of the representation theory for the dihedral groups, we study the symmetric central configurations in the n-body problem where $n$ equal masses are placed at the vertices of a regular $n$-gon. Since the Hessian matrices at these co
Externí odkaz:
http://arxiv.org/abs/2404.08790
Autor:
Wang, Fang, Xia, Zhihong
We study the homotopical minimal measures for positive definite autonomous Lagrangian systems. Homotopical minimal measures are action-minimizers in their homotopy classes, while the classical minimal measures (Mather measures) are action-minimizers
Externí odkaz:
http://arxiv.org/abs/2403.04452
Publikováno v:
A&A 674, A138 (2023)
This paper extends our previous study (Li et al. 2023) of the early evolution of Jupiter and its two Trojan swarms by introducing the possible perturbations of a free floating planet (FFP) invading the Solar System. In the framework of the invasion o
Externí odkaz:
http://arxiv.org/abs/2304.13598
Publikováno v:
A&A 669, A68 (2023)
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 distributions can provide important clues to the early evolution of the Solar Sy
Externí odkaz:
http://arxiv.org/abs/2211.13877
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 & Tao (2021), the symplectic mapping is represented by a generating func
Externí odkaz:
http://arxiv.org/abs/2208.14148
Publikováno v:
In Icarus 1 January 2025 425
