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Stability of Hausdorff dimension of Axiom A attractors under random perturbations

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Applied math.matics(A Journal of Chinese Universities) 2008年第2期23卷 233-239页

作者： ZHAO Yang Dept. of math. School of Sci. Beijing Institute of Tech. Beijing 100081 China

This paper proves that the Hausdorff dimension of an Axiom A attractor is stable under random perturbations.

关键词： Axiom A attractor random dynamical system Hausdorff dimension.

Some minimax theorems with strictly monotone transformation

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Applied math.matics(A Journal of Chinese Universities) 2008年第1期23卷 69-78页

作者： TANG Gu-sheng CHENG Cao-zong school of math. and Comput. Sci. Hunan Univ. of Sci. and Tech. Xiangtan 411201 China. Dept. of math. Beijing Univ. of Tech. Beijing 100022 China.

Some two-function minimax theorems are proved. In these results, the staircase and quantitative-topological conditions of both functions involve strictly monotone transformation and mixing of functional values. Conseq... 详细信息

关键词： minimax theorems staircase monotone transformation.

Boosting aqueous nickel-zinc battery stability with bimetallic ion-integrated 1D metal-organic nanowires

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Science China Chemistry 2025年

作者： Yihao Chen Jin Liang Yichun Su Guoyin Zhu Hengyue Xu Hongye Ding Guangxun Zhang Dianheng Yu Zizhou Shen Yizhou Zhang Wei Huang Huan Pang school of Chemistry and Chemical Engineering Yangzhou University Key Laboratory of Flexible Electronics (KLoFE) & Institute of Advanced Materials (IAM) School of Flexible Electronics (Future Technologies) Nanjing Tech University (NanjingTech) Institute of Advanced Materials and Flexible Electronics (IAMFE) School of Chemistry and Materials Science Nanjing University of Information Science & Technology Department of Chemistry Tsinghua University State Key Laboratory of Coordination Chemistry Nanjing University

Limited by low conductivity,designing cathode materials with excellent electron transfer efficiency for high-performance nickel-zinc batteries （NZBs） remains *** this study,a series of bimetallic metal-organic nanowires were fabricated by doping M ions in NiNTA,resulting in NiMNTA (M=Mg2+,Mn2+,Co2+,Zn2+,Ag+),and NixCo6-xNTA （x=1,2,3,4,5）.The proportions and types of metal ions can be modified without altering the initial coordination structure.X-ray absorption fine structure spectroscopy （XAFS） revealed that only M–O bonds,not metal bonds,were present in the *** performance of Ni2Co4NTA as the cathode for aqueous NZBs was significantly improved,achieving the maximum energy density of 279.17Wh kg-1with the high cycle stability （retention rate of 72.0%after 1,000 cycles）.The flexible Ni2Co4NTA//Zn@carbon cloth battery employing gel electrolyte also exhibits the excellent Coulombic efficiency of 96%after 350 *** approach shows considerable potential for designing one-dimensional materials with bimetallic modifications,providing new strategies for developing cathode materials for NZBs with high specific capacity and cycle stability.

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EXPONENTIAL ESTIMATES FOR STOCHASTIC DELAY HYBRID SYSTEMS WITH MARKOVIAN SWITCHING

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Applied math.matics(A Journal of Chinese Universities) 2007年第3期22卷 334-342页

作者： Wang Hongchu Hu Shigeng Lian Baosheng school of math. Sci. South China Normal Univ. Guangzhou 510631 China Dept. of math. Huazhong Univ. of Sci. and Tech. Wuhan 430074 China

This paper deals with the problem of norm bounds for the solutions of stochastic hybrid systems with Markovian switching and time delay. Based on Lyapunov-Krasovskii theory for functional differential equations and the linear matrix inequality （LMI） approach, mean square exponential estimates for the solutions of this class of linear stochastic hybrid systems are derived. Finally, An example is illustrated to show the applicability and effectiveness of our method.

关键词： exponential estimate linear matrix inequality (LMI) uncertainty Lyapunov-Krasovskii functional.

An FEM approximation for a fourth-order variational inequality of second kind

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Applied math.matics(A Journal of Chinese Universities) 2008年第1期23卷 19-24页

作者： QIAN Fu-bin DING Rui school of Management Suzhou Univ. of Sci. ＆ Tech. Suzhou 215008 China. school of math. Sci. Suzhou Univ. Suzhou 215006 China. Corresponding author.

A fourth-order variational inequality of the second kind arising in a plate frictional bending problem is considered. By using regularization method, the original problem can be formulated as a differentiable variational equation, and the corresponding discrete FEM variational equation is presented afterwards. Abstract error estimates and error estimates of the approximation are derived in terms of energy norm and L^2-norm.

关键词： plate theory variational inequality of the second kind fourth-order problem FEM regularization error estimate.

L^p SOLUTIONS TO BSDES WITH MONOTONIC AND UNIFORMLY CONTINUOUS GENERATORS

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Annals of Differential Equations 2015年第2期31卷 175-181页

作者： Zhi Li Liping Xu Jiaowan Luo school of information and math. Yangtze University school of math. and information Sciences Guangzhou University

In this paper, we deal with Lp(p > 1) solutions to one dimensional backward stochastic differential equations(BSDEs) with discontinuous(left or right continuous)generators. We obtain an existence theorem of Lpsolution... 详细信息

关键词： backward stochastic differential equation existence theorem Lpsolution uniformly continuous condition

Design high-performance narrowband emitters for blue light-emitting diodes through manipulating resonance structure of aromatic heterocycles

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Science China Chemistry 2025年

作者： Yue Yu Lei Xu Wenle Tan Yuyu Pan Jiyin Xiao Bohan Wang Guangjun Tian Yuguang Ma Lei Ying Institute of Polymer Optoelectronic Materials and Devices Guangdong Basic Research Center of Excellence for Energy and Information Polymer Materials State Key Laboratory of Luminescent Materials and Devices South China University of Technology school of Petrochemical Engineering Shenyang University of Technology Key Laboratory for Microstructural Material Physics of Hebei Province School of Science Yanshan University

Narrowband light-emitting materials play critical roles in improving the color gamut and energy consumption of electroluminescence. Herein we demonstrated that by regulating the ground state resonance structure form of emitters with polycyclic aromatic heterocycles, the high-energy vibration of the C–C bond can be effectively suppressed, resulting in narrow emission like classical cyanine dyes. The designed compounds consist of twist and planar conformation, while having differences in the orientation of the positioning electron-donating(nitrogen) and electron-accepting(carbonyl) groups in the polycyclic aromatic hydrocarbon skeleton. The resulting compound Ac-Ph-Ac with a dominated zwitterionic resonance structure exhibits a relatively wide electroluminescent profile with the full width at half maximum(FWHM) of 42 nm and moderate device performance. In contrast, the “soliton transition” of 2AcPh based on the cyanine limit character effectively suppresses C–C stretching vibration in the polycyclic aromatic heterocycle skeleton, leading to a narrow electroluminescent profile with FWHM of 30 nm(0.16 eV)associated with an impressively high external quantum efficiency of 28.52%, which is among the highest efficiencies of so far reported non-sensitized organic light-emitting diodes.

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ON THE BASIC REPRODUCTION NUMBER OF GENERAL BRANCHING PROCESSES

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Acta math.matica Scientia 2009年第4期29卷 1081-1094页

作者：蓝国烈马志明孙苏勇 school of math.matics and information Sciences Guangzhou University Inst. Appl. math. Academy of Mathematics and Systems ScienceChinese Academy of Sciences Graduate University of the Chinese Academy of Sciences

Under a very general condition （TNC condition） we show that the spectral radius of the kernel of a general branching process is a threshold parameter and hence plays a role as the basic reproduction number in usual CMJ processes. We discuss also some properties of the extinction probability and the generating operator of general branching processes. As an application in epidemics, in the final section we suggest a generalization of SIR model which can describe infectious diseases transmission in an inhomogeneous population.

关键词： general branching process extinction probability reproduction kernel spectral radius TNC condition basic reproduction number SIR model

LIMIT CYCLES BIFURCATION FOR A CLASS OF DEGENERATE SINGULARITY

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Annals of Differential Equations 2014年第2期30卷 150-156页

作者： Xianping He Jingjing Feng Qinlong Wang school of information and math. Yangtze University

In this paper, bifurcation of limit cycles for the degenerate equilibrium to a three- dimensional system is investigated. Firstly, we use formal series to calculate the focal values at the high-order critical point on center manifold. Then an example is studied, and the existence of 3 limit cycles on the center manifold is proved. In terms of high- order singularities in high-dimensional systems, our results are new.

关键词： limit cycles bifurcation center manifold high-order singularity