期刊：
IEEE Transactions on Information Theory,2022年68(4):2735-2751 ISSN：0018-9448
通讯作者：
Mesnager, S
作者机构：
[Li, Yanjun] Anhui Univ Finance & Econ, Inst Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China.;[Peng, Jie; Li, Yanjun] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.;[Kan, Haibin] Fudan Univ, Sch Comp Sci, Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.;[Mesnager, S; Mesnager, Sihem] Univ Paris VIII, Dept Math, F-93526 St Denis, France.;[Mesnager, Sihem] Univ Sorbonne Paris Nord, LAGA, Lab Geometry Anal & Applicat, CNRS,UMR 7539, F-93430 Villetaneuse, France.
通讯机构：
[Mesnager, S ] U;Univ Paris VIII, Dept Math, F-93526 St Denis, France.
关键词：
Codes;Ciphers;Boolean functions;Roads;Telecommunications;Technological innovation;Robustness;Boolean function;vectorial function;Boolean bent function;idempotent bent function;dual;self-dual bent function;vectorial bent function
作者机构：
[Zhu, De-Xing; Li, Xiao-Hua; Xu, Yang-Yang; Liu, Hong-Ming; Zou, You-Tian] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Natl Exemplary Base Int Sci & Tech Collaborat Nuc, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Eq, Hengyang 421001, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Chu, Peng-Cheng] Qingdao Technol Univ, Sch Sci, Inst Theoret Phys, Qingdao 266000, Peoples R China.
关键词：
two-proton radioactivity;Coulomb and proximity potential model;half-life
摘要：
Considering the preformation probability of the two emitted protons in the parent nucleus, we extend the Coulomb and proximity potential model (CPPM) to systematically study two-proton (2p) radioactivity half-lives of the nuclei close to proton drip line. The proximity potential chosen is Prox. 81 proposed by Blocki et al. in 1981. Furthermore, we apply this model to predict the half-lives of possible 2p radioactive candidates whose 2p radioactivity is energetically allowed or observed but not yet quantified in the evaluated nuclear properties table NUBASE2016. The predicted results are in good agreement with those from other theoretical models and empirical formulas, namely the effective liquid drop model (ELDM), generalized liquid drop model (GLDM), Gamow-like model, Sreeja formula and Liu formula.
作者机构：
[Zhu, De-Xing; Li, Xiao-Hua; Xu, Yang-Yang] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Liu, Hong-Ming] Fudan Univ, Inst Modern Phys, Shanghai 200433, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[He, Biao] Cent South Univ, Coll Phys & Elect, Changsha 410083, Peoples R China.;[Li, Xiao-Hua] Univ South China, Natl Exemplary Base Int Sci & Tech Collaborat Nuc, Hengyang 421001, Peoples R China.
通讯机构：
[Xiao-Hua Li] S;School of Nuclear Science and Technology, University of South China, Hengyang, China<&wdkj&>National Exemplary Base for International Sci & Tech. Collaboration of Nuclear Energy and Nuclear Safety, University of South China, Hengyang, China<&wdkj&>Cooperative Innovation Center for Nuclear Fuel Cycle Technology & Equipment, University of South China, Hengyang, China<&wdkj&>Key Laboratory of Low Dimensional Quantum Structures and Quantum Control, Hunan Normal University, Changsha, China
关键词：
2p radioactivity;Gamow-like model;Half-life;Excited state
摘要：
In this study, we systematically investigated the two-proton (
$$\text {2p}$$
) radioactivity half-lives from the excited state of nuclei near the proton drip line within the Gamow-like model (GLM) and modified Gamow-like model (MGLM). The calculated results were highly consistent with the theoretical values obtained using the unified fission model [Chin. Phys. C
$${\textbf {45}}$$
, 124105 (2021)], effective liquid drop model, and generalized liquid drop model [Acta Phys. Sin
$${\textbf {71}}$$
, 062301 (2022)]. Furthermore, utilizing the GLM and MGLM, we predicted the
$$\text {2p}$$
radioactivity half-lives from the excited state for some nuclei that are not yet available experimentally. Simultaneously, by analyzing the calculated results from these theoretical models, it was found that the half-lives are strongly dependent on
$$Q_\text {2p}$$
and
$$\ell $$
.
作者机构：
[He, Xing; He, Guansheng; Pan, Chaohong] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Chaohong Pan] A;Author to whom correspondence should be addressed.
关键词：
local stability;spectrum method;weighted functional space;host-tissue degradation
摘要：
The focus of this paper is on the local stability of the traveling waves of reaction–diffusion systems that describe host-tissue degradation by bacteria. On the one hand, we discuss the asymptotic behavior of the solutions near the equilibrium points. On the other hand, the local stability of traveling waves is proved by the spectrum method based on the appropriate weighted functional space.
期刊：
Expert Systems with Applications,2022年199:116859 ISSN：0957-4174
通讯作者：
Changjin Xu
作者机构：
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550025, Peoples R China.;[Xu, Changjin] Guizhou Key Lab Big Data Stat Anal, Guiyang 550025, Peoples R China.;[Liu, Zixin] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China.;[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Yao, Lingyun] Guizhou Univ Finance & Econ, Guiyang 550025, Peoples R China.
通讯机构：
[Changjin Xu] G;Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550025, PR China<&wdkj&>Guizhou Key Laboratory of Big Data Statistical Analysis, Guiyang 550025, PR China
关键词：
Fractional-order bank data model;Global stability;Hopf bifurcation;Hopf bifurcation control;PDξ controller;Stability
作者机构：
[Xu, Feng] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.;[Rao, Qiuhua] Cent South Univ, Sch Civil Engn, Changsha, Peoples R China.
通讯机构：
[Qiuhua Rao] S;School of Civil Engineering, Central South University, Changsha, China
摘要：
Trafficability criterion of a tracked miner is investigated when walking across deep-sea floor with obstacles by analyzing the mechanical property of deep-sea sediment and geometrical conditions of obstacles. Trafficability criterion can help predict and estimate the mining efficiency and working safety of the tracked miner on the deep-sea sediment. Deep-sea sediment has an obvious rheological property and its compression-sinkage-time relationship was adopted to describe the sinkage shape of track under different grounding pressure distributions. The area of the sinkage shape was classified and redefined according to the relationships with different traction forces based on work-energy theorem concept. A new trafficability criterion is then established based on the areas of sinkage shapes and the physical meaning of parameters in the criterion was explained diagrammatically in detail. As an application, a trafficable deep-sea ditch width and slope angle were calculated theoretically by combining the trafficability criterion and sinkage shapes analyses. The trafficability criterion is proved to be convenient and intuitive for quickly judging the trafficability problem of deep-sea tracked miner for common obstacles.
摘要：
A series of simulation experimentations are carried out on the overburden soil of the uranium tailings impoundment under the conditions of heat and insolation. The results show that: (1) The radon exhalation rate on the overburden soil of the uranium tailings impoundment increases rapidly at first and then slows down with the decrease of the moisture content. (2) The radon exhalation rate increases rapidly at first and then slows down with the increase of fractal dimension. The fitting formula of the influence of moisture content and fractal dimension on radon exhalation rate can be used to guide the radiation protection design and construction of the uranium tailings impoundment.
摘要：
Spreading speed of spatio-temporal nonlinear dynamical system can sometimes be determined either by its corresponding linear system with an explicit speed formula, or by the complicated nonlinear system itself with the existence of a pushed wavefront. In this paper, the spreading speed (the minimal speed of wavefronts) for a Lotka-Volterra competition model in spatially periodic habitats is investigated. We establish new results on the linear and nonlinear selections in terms of the spatio-periodic coefficient functions. In the case of nonlinear selection, lower and upper bound estimates of the minimal speed are provided. (C) 2020 Elsevier Inc. All rights reserved.
摘要：
The precession effect of periastron for a massive test particle in the spacetime of a Janis–Newman–Winicour wormhole is studied in the weak field limit. Based on the metric of this static and spherically symmetric wormhole in harmonic coordinates, we derive the second post-Newtonian dynamics of the particle. The second-order orbital precession of periastron is then obtained via a post-Newtonian iterative technique under the Wagoner–Will–Epstein–Haugan representation. Our result is found to be consistent with the classical precession effect when the asymptotic scalar charge is dropped.
期刊：
Journal of Dynamics and Differential Equations,2021年33(2):1153-1174 ISSN：1040-7294
通讯作者：
Ou, Chunhua
作者机构：
[Wang, Hongyong] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Ou, Chunhua] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
通讯机构：
[Ou, Chunhua] M;Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
摘要：
In this paper, solutions of a Novikov equation are discussed based on the bifurcation method of dynamical systems. Through establishing a Hamiltonian function, the existence of a smooth soliton solution and a periodic cuspon solution are established for the corresponding traveling wave system of the Novikov equation. Numerical results are carried out to illustrate the feasibility of the main results. All these theories can be seen to fill the gap of the literatures Li (2014) and Pan and Li (2016). (C) 2020 Elsevier Ltd. All rights reserved.
摘要：
This article focuses on the finite-time and fixed-time synchronization of a class of coupled discontinuous neural networks, which can be viewed as a combination of the Hindmarsh-Rose model and the Kuramoto model. To this end, under the framework of Filippov solution, a new finite-time and fixed-time stable theorem is established for nonlinear systems whose right-hand sides may be discontinuous. Moreover, the high-precise settling time is given. Furthermore, by designing a discontinuous control law and using the theory of differential inclusions, some new sufficient conditions are derived to guarantee the synchronization of the addressed coupled networks achieved within a finite-time or fixed-time. These interesting results can be seemed as the supplement and expansion of the previous references. Finally, the derived theoretical results are supported by examples with numerical simulations.
摘要：
In this study, taking into account of the contribution of the centrifugal potential on half-life and the effect of electrostatic shielding, we modify the Gamow-like model proposed by Zdeb et al [2013 Phys. Rev. C 87, 024 308] to systematically investigate the cluster radioactivity half-lives of nuclei ranging from Fr-221 to U-238. The calculated results can reproduce the experimental data well. Additionally, this modified Gamow-like model is applied to predict the half-lives of cluster radioactivity nuclei whose experimental half-lives have the lower limit. It is found that the predicted results are in good agreement with the ones obtained by using the Gamow-like model and a Viola-Seaborg type formula.
作者机构：
[Feng, Zhong-Wen; Zhou, Xia; Yang, Shu-Zheng; Zhou, Shi-Qi] China West Normal Univ, Phys & Space Sci Coll, Nanchong 637009, Peoples R China.;[He, Guansheng] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Feng, Z.-W.] P;Physics and Space Science College, China
关键词：
Joule–Thomson expansion;Maxwell invariant source;higher dimensional nonlinearly AdS black hole
期刊：
Open Mathematics,2021年19(1):658-674 ISSN：2391-5455
作者机构：
[Sun, Tao] Hunan Univ Arts & Sci, Hunan Prov Cooperat Innovat Ctr Construct & Dev D, Changde 415000, Hunan, Peoples R China.;[Sun, Tao] Hunan Univ Arts & Sci, Coll Math & Phys, Changde 415000, Hunan, Peoples R China.;[Li, Qingguo] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China.;[Zou, Zhiwei] Univ South China, Coll Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
o s -convergence;B-topology;S ∗-doubly quasicontinuous poset
摘要：
The notions of os os -convergence and S∗ S∗ -doubly quasicontinuous posets are introduced, which can be viewed as common generalizations of Birkhoff’s order-convergence and S∗ S∗ -doubly continuous posets, respectively. We first consider the relationship between os os -convergence and B-topology and show that the topology induced by os os -convergence according to the standard topological approach is the B-topology precisely. Then, the topological characterization for the S∗ S∗ -doubly quasicontinuity is presented. It is proved that a poset is S∗ S∗ -doubly quasicontinuous iff the poset equipped with the B-topology is locally hyperclosed iff the lattice of all B-open subsets of the poset is hypercontinuous. Finally, the order theoretical condition for the os os -convergence being topological is given and the complete regularity of B-topology on S∗ S∗ -doubly quasicontinuous posets is explored.
期刊：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,2021年11(3):1240-1258 ISSN：2156-907X
作者机构：
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.;[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Li, Peiluan] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China.;[Yuan, Shuai] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China.
关键词：
Fractional order competition and cooperation model;enterprise;Hopf bifurcation;stability;delay
摘要：
Over the past decades, many authors establish various kinds of competition and cooperation models of two enterprises to analyze the dynamic interaction. However, they are only concerned with integer-order differential equation models, while the reports on fractional-order ones are very rare. In this article, based on the earlier studies, we propose a new fractional-order delayed competition and cooperation model of two enterprises. Letting the delay be bifurcation parameter and analyzing the corresponding characteristic equation of involved model, we establish some new sufficient conditions to guarantee the stability and the existence of Hopf bifurcation of fractionalorder delayed competition and cooperation model of two enterprises. The research indicates that different delays have different effect on the stability and Hopf bifurcation of involved model. The impact of the fractional order on the stability and Hopf bifurcation of involved model is displayed. To check the correctness of theoretical analysis, we implement some computer simulations.
