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Quasi-periodically Forced Logistic Map with Weak Liouvillean Frequency

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Acta Mathematica Sinica,English Series 2024年第10期40卷 2411-2435页

作者： Jin Hao LIANG Lin Lin FU department of Applied {1. Nanjing Forestry University School of mathematics and {1. Shaoguan University

Consider a class of quasi-periodically forced logistic maps■whereωis an irrational frequency and c(θ) is a specific bimodal *** prove that under weak Liouvillean condition on frequency,the strange non-chaotic attra... 详细信息

关键词： 37C60 37C70 logistic map Lyapunov exponent Quasi-periodically forced strange non-chaotic attractor weak Liouvillean frequency

Anisotropic extensions of isotropic Finch–Skea metric in the charged modified gravity

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Communications in Theoretical Physics 2024年第9期76卷 118-140页

作者： Tayyab Naseer M Sharif department of {1. and statistics The University of Lahore1-Km Defence RoadLahore 54000Pakistan

In this study,we explore the Finch–Skea perfect fluid solution and extend its domain to three distinct anisotropic interior models within the framework of the f(R,T)theory,incorporating the influence of an electromagnetic *** assume a static spherical spacetime initially coupled with an isotropic matter *** then introduce a Lagrangian corresponding to an additional gravitating source,taking into account its role in inducing pressure anisotropy within the original fluid *** deriving the field equations for the combined matter setup,we applied a radial component transformation,which yielded two distinct systems of *** addition,we consider a charged exterior spacetime to determine the three constants associated with the Finch–Skea solution at the *** findings suggest that under certain parametric choices,all three resulting models exhibited physical relevance within this modified theory.

关键词： anisotropy modified gravity gravitational decoupling

Double Moving Extremes Ranked Set Sampling Design

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Acta Mathematicae Applicatae Sinica 2024年第1期40卷 75-90页

作者： Meng Chen Wang-xue Chen Rui Yang department of {1. and statistics Jishou UniversityJishou416000China

The traditional simple random sampling(SRS)design method is inefficient in many *** proposed some new designs to increase *** this paper,as a variation of moving extremes ranked set sampling(MERSS),double MERSS(DMERSS)is proposed and its properties for estimating the population mean are *** turns out that,when the underlying distribution is symmetric,DMERSS gives unbiased estimators of the population ***,it is found that DMERSS is more efficient than the SRS and MERSS methods for usual symmetric distributions(normal and uniform).For asymmetric distributions considered in this study,the DMERSS has a small bias and it is more efficient than SRS for usual asymmetric distribution(exponential)for small sample sizes.

关键词： double moving extremes ranked set sampling symmetric distribution efficiency

Ambarzumyan's Theorem for the Dirac Operator on Equilateral Tree Graphs

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Acta Mathematicae Applicatae Sinica 2024年第2期40卷 568-576页

作者： Dong-Jie WU Xin-Jian XU Chuan-Fu YANG department of {1. School of Mathematics and StatisticsNanjing University of Science and TechnologyNanjing 210094China

The classical Ambarzumyan’s theorem states that if the Neumann eigenvalues of the Sturm-Liouville operator-d^(2)/dx^(2)+q with an integrable real-valued potential q on[0,π] are {n^(2):n≥0},then q=0 for almost all x∈[0,π].In this work,the classical Ambarzumyan’s theorem is extended to the Dirac operator on equilateral tree *** prove that if the spectrum of the Dirac operator on graphs coincides with the unperturbed case,then the potential is identically zero.

关键词： dirac operator quantum graph Ambarzumyan’s theorem inverse spectral problem

Optimal Model Average Prediction in Orthogonal Kriging Models

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Journal of Systems Science & Complexity 2024年第3期37卷 1080-1099页

作者： WANG Jun HE Jiabei LIANG Hua LI Xinmin School of mathematics and {1. Qingdao UniversityQingdao 266071China department of {1. George Washington UniversityWashington DC 20052USA

The main objective of this paper is to consider model averaging methods for kriging *** paper proposes a Mallows model averaging procedure for the orthogonal kriging model and demonstrate the asymptotic optimality of the model averaging estimators in terms of mean square *** studies are conducted to evaluate the performance of the proposed method and compare it with the competitors to demonstrate its *** authors also analyse a real dataset for an illustration.

关键词： Asymptotic optimality Mallows criterion optimal model averaging orthogonal kriging model

Completeness of Induced Cotorsion Pairs in Representation Categories of Rooted Quivers

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Acta Mathematica Sinica,English Series 2024年第10期40卷 2436-2452页

作者： Zhen Xing DI Li Ping LI Li LIANG Fei XU School of Mathematical Sciences Huaqiao University LCSM (Ministry of Education) School of Mathematics and Statistics Hunan Normal University department of {1. Lanzhou Jiaotong University Gansu Provincial Research Center for Basic Disciplines of mathematics and {1. department of {1. Shantou University

This paper focuses on a question raised by Holm and J?rgensen, who asked if the induced cotorsion pairs(Φ（X）, Φ（X）⊥) and(⊥Ψ（Y）, Ψ（Y）) in Rep（Q, A）—the category of all A-valued representations of a quiver Q—are complete whenever（X, Y） is a complete cotorsion pair in an abelian category A satisfying some mild conditions. We give an affirmative answer if the quiver Q is rooted. As an application, we show under certain mild conditions that if a subcategory L, which is not necessarily closed under direct summands, of A is special precovering（resp., preenveloping）, then Φ（L）(resp.,Ψ（L）) is special precovering（resp., preenveloping） in Rep（Q, A）.

关键词： 1.G20 1.G25 complete cotorsion pair Rooted quiver special precovering (preenveloping) subcategory

THE BSE PROPERTY FOR SOME VECTOR-VALUED BANACH FUNCTION ALGEBRAS

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Acta Mathematica Scientia 2024年第5期44卷 1945-1954页

作者： Fatemeh ABTAHI Ali REJALI Farshad SAYAF department of Pure {1. Faculty of Mathematics and StatisticsUniversity of IsfahanIsfahan81746-73441Iran

In this paper,X is a locally compact Hausdorff space and A is a Banach ***,we study some basic features of C0(X,A)related to BSE concept,which are gotten from *** particular,we prove that if C0(X,A)has the BSE property then A has *** also establish the converse of this result,whenever X is discrete and A has the BSE-norm ***,we prove the same result for the BSE property of type ***,we prove that C0(X,A)has the BSE-norm property if and only if A has so.

关键词： BSE algebras BSE-function BSE norm multiplier algebra semisimple without order

On self-affine tiles that are homeomorphic to a ball

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Science China mathematics 2024年第1期67卷 45-76页

作者： Jorg M.Thuswaldner Shu-Qin Zhang mathematics and {1. University of LeobenLeoben 8700Austria School of mathematics and {1. Zhengzhou UniversityZhengzhou 450001China

Let M be a 3×3 integer matrix which is expanding in the sense that each of its eigenvalues is greater than 1.in modulus and let D?Z^(3)be a digit set containing|det M|*** the unique nonempty compact set T=T(M,D)defined by the set equation MT=T+D is called an integral self-affine tile if its interior is *** D is of the form D={0,v,...,(|det M|-1.v},we say that T has a collinear digit *** present paper is devoted to the topology of integral self-affine tiles with collinear digit *** particular,we prove that a large class of these tiles is homeomorphic to a closed 3-dimensional ***,we show that in this case,T carries a natural CW complex structure that is defined in terms of the intersections of T with its neighbors in the lattice tiling{T+z:z∈Z^(3)}induced by *** CW complex structure is isomorphic to the CW complex defined by the truncated octahedron.

关键词： self-afine sets tiles and tilings low-dimensional topology truncated octahedron

Strategies for mitigating detrimental effects in cyber-physical multiplex networks

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Science China(Information Sciences) 2024年第6期67卷 453-454页

作者： Yudong GONG Shenghai YANG Sanyang LIU Pei WANG Yiguang BAI School of mathematics and {1. Xidian University

Detrimental effects,such as widespread epidemics or rumors,can inflict significant damage on society in a remarkably short time[1..Various studies have focused on mitigating these effects independently within single-l... 详细信息

关键词： Cost effectiveness