Search

Your search keyword '"Zeng, Jinsong"' showing total 455 results
Start Over Author "Zeng, Jinsong"
455 results on '"Zeng, Jinsong"'

1. Invariant graphs in Julia sets and decompositions of rational maps

Author

Cui, Guizhen, Gao, Yan, and Zeng, Jinsong

Subjects
Mathematics - Dynamical Systems
Abstract

In this paper, we prove that for any post-critically finite rational map $f$ on the Riemann sphere $\overline{\mathbb{C}}$ and for each sufficiently large integer $n$, there exists a finite and connected graph $G$ in the Julia set of $f$, such that $f^n(G)\subset G$, $G$ contains all post-critical points in the Julia set and every component of $\overline{\mathbb{C}}\setminus G$ contains at most one post-critical point in the Fatou set. The proof is based on the cluster-\Sie\ decomposition of post-critically finite rational maps., Comment: Feel free to provide any comments

Published
2024

20. On rational maps with buried critical points

Author

Gao, Yan, Yang, Luxian, and Zeng, Jinsong

Subjects
Mathematics - Dynamical Systems
Abstract

In this paper, we construct geometrically finite rational maps with buried critical points on the boundaries of some hyperbolic components by using the pinching and plumbing deformations., Comment: submitted

Published
2020

28. The landing of parameter rays at non-recurrent critical portraits

Author

Gao, Yan and Zeng, Jinsong

Subjects
Mathematics - Dynamical Systems, 37F45, 37F10
Abstract

Based on the distortion theory developed by Cui--Tan \cite{CT15}, we prove the landing of every parameter ray at critical portraits coming from non-recurrent polynomials, thereby generalizing a result of Kiwi \cite[Corollary]{Ki05}, Comment: 16 pages

Published
2019
Full Text
View/download PDF

29. Invariant graphs of rational maps

Author

Cui, Guizhen, Gao, Yan, and Zeng, Jinsong

Subjects
Mathematics - Dynamical Systems
Abstract

Let $f$ be a postcritically finite rational map. We prove that, as $n$ large enough, there exists an $f^n$-invariant (finite connected) graph on $\widehat{\mathbb{C}}$ such that it contains the postcritical set of $f$., Comment: 41 pages, 7 figures, version to appear in Adv. Math

Published
2019

37. Rigidity of non-renormalizable Newton maps

Author

Roesch, Pascale, Yin, Yongcheng, and Zeng, Jinsong

Subjects
Mathematics - Dynamical Systems
Abstract

Non-renormalizable Newton maps are rigid. More precisely, we prove that their Julia set carries no invariant line fields and that the topological conjugacy is equivalent to quasi-conformal conjugacy in this case., Comment: 21 pages, 1 figures. To appear in SCIENCE CHINA Mathematics

Published
2018

38. Dynamics of Newton maps

Author

Wang, Xiaoguang, Yin, Yongcheng, and Zeng, Jinsong

Subjects
Mathematics - Dynamical Systems, Mathematics - Complex Variables
Abstract

In this paper, we study the dynamics of Newton maps for arbitrary polynomials. Let $p$ be an arbitrary polynomial with at least three distinct roots, and $f$ be its Newton map. It is shown that the boundary $\partial B$ of any immediate root basin $B$ of $f$ is locally connected. Moreover, $\partial B$ is a Jordan curve if and only if ${\rm deg}(f|_B)=2$. This implies that the boundaries of all components of root basins, for all polynomials' Newton maps, from the viewpoint of topology, are tame., Comment: 47 pages, 18 figures. Writing polished, results unchanged, more figures added

Published
2018

44. Aramid Nanofiber‐Based Artificial Nacre‐Supported Graphene/Silver Nanowire Nanopapers for Electromagnetic Interference Shielding and Thermal Management.

Author

Hu, Fugang, Gong, Ningfeng, Zeng, Jinsong, Li, Pengfei, Wang, Tianguang, Li, Jinpeng, Wang, Bin, and Chen, Kefu

Subjects
ELECTROMAGNETIC shielding, ELECTROMAGNETIC interference, FLEXIBLE electronics, ELECTROMAGNETIC compatibility, CELLULOSE nanocrystals
Abstract

The development of next‐generation flexible electronics hinges on the creation of materials that are not only mechanically robust but also multifunctional. Herein, a novel approach is presented to fabricate an aramid nanofibers/cellulose nanocrystals/montmorillonite nanoplates (ACM) composite substrate with a robust "brick and mortar" microstructure. This substrate is seamlessly integrated with a high‐performance graphene/silver nanowire (G/Ag) composite conductive layer, resulting in the creation of ACM&G/Ag nanopapers. The resulting nanopapers achieve remarkable tensile strength (δc) (543.82 MPa), tensile modulus (Ec) (10.93 GPa), and toughness (Uc) (95.18 MJ m−3). Notably, when normalized by weight, the specific tensile strength of these nanopapers surpasses that of commercial titanium alloy, reaching 399.87 MPa g−1 cm3, compared to titanium alloy's 257.00 MPa g−1 cm3. With a high conductivity of 1398.08 S cm−1, ACM&G/Ag nanopapers exhibit impressive electromagnetic interference shielding effectiveness (EMI SE) of 39.59 dB and EMI SE/t of 16359.26 dB cm−1. Moreover, ACM&G/Ag nanopapers exhibit exceptional thermal management performance, featuring high electrical heating temperature (280 °C), rapid response time (<6 s), enduring heating stability, deicing capacity, and reliable heating performance even in humid environments. These results underscore the substantial potential of these high‐performance nanopapers in diverse applications such as wearable devices, electromagnetic compatibility, thermal management, human health, and aerospace. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF

50. Non-recurrent parameter rays of the Mandelbrot set

Author

Gao, Yan and Zeng, Jinsong

Subjects
Mathematics - Dynamical Systems
Abstract

In this paper, we prove that any parameter ray at a non-recurrent angle $\theta$ lands at a non-recurrent parameter $c$ with $\theta$ a characteristic angle of $f_c$; and conversely, every non-recurrent parameter $c$ is the landing point of one or two parameter rays at non-recurrent angles, and these angles are exactly the characteristic angles of $f_c$.

Published
2015

Catalog

Books, media, physical & digital resources
See catalog results