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Verdier quotients of homotopy categories of rings and Gorenstein-projective precovers
《Science China Mathematics》2024年第12期2701-2712,共12页Manuel Cortes-Izurdiaga 
supported by the Spanish Government (Grant No. PID2020-113206GBI00, funded by MCIN/AEI/10.13039/501100011033);Junta de Andalucia (Grant No. P20-00770)。
Let R be a ring, Proj be the class of all the projective right R-modules, K be the full subcategory of the homotopy category K(Proj) whose class of objects consists of all the totally acyclic complexes, and MorK be th...
关键词：homotopy category Gorenstein-projective precover Verdier quotient small Hom-sets totally acyclic complex 
Influence of the homotopy stability perturbation on physical variations of non-local opto-electronic semiconductor materials
《Frontiers of Optoelectronics》2024年第4期109-123,共15页A.El-Dali Mohamed I.A.Othman 
In the current work,we investigate a novel technique specialized in stability perturbation theory to analyze the primary variations such as thermal,carrier,elastic,and mechanical waves in photothermal theory.The inter...
关键词：Homotopy perturbation method Opto-electronic deformation Laplace transform Non-local excitation Bifurcation solutions Stability perturbation 
Cohomology of Lie-Conformal Algebras with Derivations
《Journal of Mathematical Research with Applications》2024年第6期754-768,共15页Shuangjian GUO 
Supported by the National Natural Science Foundation of China(Grant No.12161013);the Basic Research Program(Natural Science)of Guizhou Province(Grant No.ZK[2023]025)。
In this paper,we consider Lie conformal algebras with derivations.A pair consisting of a Lie conformal algebra and a distinguished derivation is called a LieCDer pair.We introduce a cohomology theory for LieCDer pair ...
关键词：Lie conformal algebras COHOMOLOGY abelian extension conformal Lie 2-algebras homotopy derivation 
A Weak∞-Functor in Morse Theory
《Acta Mathematica Sinica,English Series》2024年第11期2571-2614,共44页Shan Zhong SUN Chen Xi WANG 
Supported by National Key R&D Program of China(Grant No.2020YFA0713300);NSFC(Grant Nos.11771303,12171327,11911530092,11871045)。
In the spirit of Morse homology initiated by Witten and Floer,we construct two∞-categories A and B.The weak one A comes out of the Morse-Smale pairs and their higher homotopies,and the strict one B concerns the chain...
关键词：Morse function moduli space of gradient flow lines COMPACTIFICATIONS weak n/∞-category higher morphism HOMOTOPY 
二维范德华磁体的拓扑自旋结构的研究进展
《Science Bulletin》2024年第11期1612-1616,共5页许洪军 刘艺舟 Giovanni Finocchio Kang LWang 于国强 
supported by the financial support from the National Key Research and Development Program of China (2022YFA1403602);the National Natural Science Foundation of China ( 52161160334,and 12274437);the Science Center of the National Natural Science Foundation of China (52088101);the CAS Project for Young Scientists in Basic Research (YSBR084);supported by the project PRIN 2020LWPKH7 funded by the Italian Ministry of Research and under the Project No. 101070287—SWAN-on-chip—HORIZON-CL4-2021-DIGITALEMERGING-01 funded by the European Union;part supported by KACST;NSF;supported by the RIKEN Special Postdoctoral Researcher (SPDR) program。
The importance of topological spin textures(TSTs), such as skyrmions, merons, hopfions, etc., is due to their static and dynamic properties [1]. They carry a topological number that characterizes the homotopy group Π...
关键词：自旋结构 TOPOLOGICAL HOMOTOPY 
Radiation Effect on Heat Transfer Analysis of MHD Flow of Upper Convected Maxwell Fluid between a Porous and a Moving Plate
《Frontiers in Heat and Mass Transfer》2024年第2期655-673,共19页P.Pai Nityanand B.Devaki G.Bhat Pareekshith V.S.Sampath Kumar 
The study in this manuscript aims to analyse the impact of thermal radiation on the two-dimensional magnetohydrodynamic flow of upper convected Maxwell(UCM)fluid between parallel plates.The lower plate is porous and s...
关键词：Upper convectedmaxwell fluid MHDsqueezing flow similarity transformations homotopy perturbationmethod finite difference method 
Weak Graph Map Homotopy and Its Applications
《Chinese Annals of Mathematics,Series B》2024年第2期235-252,共18页Conglei ZHANG Yanying WANG Zhiguo ZHANG Yan ZHAO 
supported by the National Natural Science Foundation of China(No.11771116)。
The authors introduce a notion of a weak graph map homotopy(they call it M-homotopy),discuss its properties and applications.They prove that the weak graph map homotopy equivalence between graphs coincides with the gr...
关键词：Weak graph map homotopy Trivial vertex Strong deformation retract Mapping class group MP-Homotopy group 
Universal method for designing periodic orbits by homotopy classes in the elliptic restricted three-body problem
《Astrodynamics》2024年第1期175-188,共14页Yue Zheng Min Zhao 
The current methods for designing periodic orbits in the elliptic restricted three-body problem(ERTBP)have the disadvantages of targeting limited orbits and ergodic searches and considering only symmetric orbits.A uni...
关键词：periodic orbit elliptic restricted three-body problem(ERTBP) TOPOLOGY homotopy circular restricted three-body problem(CRTBP) 
An analytical approach for the fractional-order Hepatitis B model using new operator
《International Journal of Biomathematics》2024年第1期177-198,共22页Surath Ghosh 
In this work,the main goal is to implement Homotopy perturbation transform method(HPTM)involving Katugampola fractional operator.As an example,a fractional order Hepatitis model is considered to analyze the solutions....
关键词：Caputo derivative Katugampola fractional derivative homotopy perturbation transform method Hepatitis B model 
Brain mechanism of acupuncture for children with anisometropic amblyopia: a resting functional magnetic resonance imaging study based on voxel-mirrored homotopic connectivity
《International Journal of Ophthalmology(English edition)》2024年第2期339-347,共9页Jue Wang Jing Jia Yan Sun Chong-Bing Ma Yu-Zhu Chen An-Guo Liu Xing-Ke Yan 
Supported by National Natural Science Foundation of China(No.82160935,No.82260965);Traditional Chinese Medicine Discipline“Qi Huang Ying Cai”Tutor Special Fund Doctoral Program(No.ZYXKBD-202208);Higher Education Innovation Fund Project of Gansu Province(No.2021A-087);Natural Science Foundation of Gansu Province(No.22JR5RA583);Traditional Chinese Medicine Discipline“Qi Huang Ying Cai”Tutor Special Fund Master’s Supervisor Program(No.ZYXKSD-202220);Youth Research Fund Project of Gansu University of Chinese Medicine(No.ZQ2017-9);Gansu Province 2023 Provincial Key Talent Project(No.2).
AIM:To explore the brain mechanism of acupuncture for children with anisometropic amblyopia using the voxelmirror homotopic connectivity(VMHC)analysis method of resting functional magnetic resonance imaging(rs-fMRI)te...
关键词：resting functional magnetic resonance imaging voxel-mirror homotopy connection anisometropic amblyopia ACUPUNCTURE 
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