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429 results on '"Zeng, Jinsong"'

14. 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

15. 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
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23. 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

25. 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

31. Efficacy and safety of gut microbiota-based therapies in autoimmune and rheumatic diseases: a systematic review and meta-analysis of 80 randomized controlled trials

Author

Zeng, Liuting, primary, Yang, Kailin, additional, He, Qi, additional, Zhu, Xiaofei, additional, Long, Zhiyong, additional, Wu, Yang, additional, Chen, Junpeng, additional, Li, Yuwei, additional, Zeng, Jinsong, additional, Cui, Ge, additional, Xiang, Wang, additional, Hao, Wensa, additional, and Sun, Lingyun, additional

Published
2024
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32. 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

37. Novel Intelligent Photon‐Encoding Gel with Dynamically Switching Supramolecular Networks.

Author

Duan, Chengliang, Wang, Bin, Li, Jinpeng, Zeng, Jinsong, Cao, Daxian, Xu, Jun, Gao, Wenhua, and Chen, Kefu

Subjects
SWITCHING systems (Telecommunication), CELLULOSE nanocrystals, MOLECULAR structure, COMPRESSION loads, ACRYLAMIDE, OPTICAL properties
Abstract

The microscopically structural switching of supramolecular networks endows programmable gel materials with dynamic hiding properties and functionalities. However, the reconstruction of supramolecular network will destroy the programming information imprinted on the original network structure, making it difficult to restore to the original state. Here, a novel intelligent programmable photonic gel composed of cellulose nanocrystals (CNC) and acrylamide is constructed. The mechanical properties and optical signals of gel can be switched reversibly on demand by reasonably designing the winding and compression between molecular structures. Under this conversion mechanism, the rigid "skeleton" constructed from the CNC chiral structure perfectly acts as the coding substrate. Importantly, even after multiple dynamic switching of the supramolecular network, the encoded information can be displayed completely and accurately on the CNC chiral structure in the stretched state. In addition, the 5D controllable conversion of stiffness, transparency, stretchability, color, and shape greatly improves the security and confidentiality of the encoded information inside the gel. This is a successful example of the application of CNC chiral structure in switchable supramolecular network materials. It is believed that the flexible variability and advanced camouflage give the intelligent gel the potential to be used in a wider range of practical scenarios. [ABSTRACT FROM AUTHOR]

Published
2024
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38. Enhancing Mechanical and Antimicrobial Properties of Dialdehyde Cellulose–Silver Nanoparticle Composites through Ammoniated Nanocellulose Modification.

Author

Zeng, Jinsong, Wu, Chen, Li, Pengfei, Li, Jinpeng, Wang, Bin, Xu, Jun, Gao, Wenhua, and Chen, Kefu

Subjects
*NANOPARTICLES, *HYDROGEN bonding, *STAPHYLOCOCCUS aureus, *COVALENT bonds, *SILVER nanoparticles, *CHEMICAL bonds, *CELLULOSE fibers
Abstract

Given the widespread prevalence of viruses, there is an escalating demand for antimicrobial composites. Although the composite of dialdehyde cellulose and silver nanoparticles (DAC@Ag1) exhibits excellent antibacterial properties, its weak mechanical characteristics hinder its practical applicability. To address this limitation, cellulose nanofibers (CNFs) were initially ammoniated to yield N-CNF, which was subsequently incorporated into DAC@Ag1 as an enhancer, forming DAC@Ag1/N-CNF. We systematically investigated the optimal amount of N-CNF and characterized the DAC@Ag1/N-CNF using FT-IR, XPS, and XRD analyses to evaluate its additional properties. Notably, the optimal mass ratio of N-CNF to DAC@Ag1 was found to be 5:5, resulting in a substantial enhancement in mechanical properties, with a 139.8% increase in tensile elongation and a 33.1% increase in strength, reaching 10% and 125.24 MPa, respectively, compared to DAC@Ag1 alone. Furthermore, the inhibition zones against Escherichia coli and Staphylococcus aureus were significantly expanded to 7.9 mm and 15.9 mm, respectively, surpassing those of DAC@Ag1 alone by 154.8% and 467.9%, indicating remarkable improvements in antimicrobial efficacy. Mechanism analysis highlighted synergistic effects from chemical covalent bonding and hydrogen bonding in the DAC@Ag1/N-CNF, enhancing the mechanical and antimicrobial properties significantly. The addition of N-CNF markedly augmented the properties of the composite film, thereby facilitating its broader application in the antimicrobial field. [ABSTRACT FROM AUTHOR]

Published
2024
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47. 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

48. A characterization of Sierpinski carpet Rational maps

Author

Gao, Yan, Zeng, Jinsong, and Zhao, Suo

Subjects
Mathematics - Dynamical Systems
Abstract

In this paper, we prove that a postcritically finite rational map with non-empty Fatou set is Thurstion equivalent to an expanding Thurston map if and only if its Julia set is homeomorphic to the standard Sierpinski carpet

Published
2015

49. Invariant Jordan curves of Sierpiski carpet rational maps

Author

Gao, Yan, Haïssinsky, Peter, Meyer, Daniel, and Zeng, Jinsong

Subjects
Mathematics - Dynamical Systems, 37F10
Abstract

In this paper, we prove that if $R\colon\widehat{\mathbb{C}}\to\widehat{\mathbb{C}}$ is a postcritically finite rational map with Julia set homeomorphic to the Sierpi\'nski carpet, then there is an integer $n_0$, such that, for any $n\ge n_0$, there exists an $R^n$-invariant Jordan curve $\Gamma$ containing the postcritical set of $R$., Comment: 16 pages, 1 figue

Published
2015

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