INVARIANT

作品数:702被引量:619H指数:10
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相关领域:自动化与计算机技术理学更多>>
相关作者:黄建华赵培标刘君玲戴金波赵宏伟更多>>
相关机构:北京理工大学国防科学技术大学长春师范学院吉林大学更多>>
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THE GLOBAL DYNAMICS OF A 3-DIMENSIONAL DIFFERENTIAL SYSTEM IN R^(3) VIA A DARBOUX INVARIANT
《Acta Mathematica Scientia》2025年第2期338-346,共9页Jaume LLIBRE Claudia VALLS 
supported by the Agencia Estatal de Investigación grant PID2019-104658GB-I00;the H2020 European Research Council grant MSCA-RISE-2017-777911;AGAUR(Generalitat de Catalunya)grant 2021SGR00113;the Reial Acadèmia de Ciències i Arts de Barcelona;supported by FCT/Portugal through CAMGSD,IST-ID,projects UIDB/04459/2020 and UIDP/04459/2020.
The differential systemẋ=ax−yz,ẏ=−by+xz,ż=−cz+x2,where a,b and c are positive real parameters,has been studied numerically due to the big variety of strange attractors that it can exhibit.This system has a Darboux inv...
关键词:INVARIANT Poincare ball Poincarédisc w-limit Q-limit differential system in R^(3) 
Global Diabatic Potential Energy Surfaces for the Two Lowest States of Li_(3)
《Chinese Journal of Chemical Physics》2025年第2期172-180,I0039,共10页Yingyue Hong Jiayu Huang Dong H.Zhang 
supported by the National Natural Science Foundation of China(Nos.22103084 and 22233003 to Jiayu Huang,and No.22288201 to Dong H.Zhang);the Innovation Program for Quantum Science and Technology(No.2021ZD0303305)to Dong H.Zhang;the Dalian Innovation Support Program(No.2021RD05)to Dong H.Zhang.
We constructed a new set of diabatic poten-tial energy surfaces(PESs)for the two low-est states involved in Li+Li_(2)reaction by us-ing the fundamental-invariant neural net-work method.The Li_(3)system exhibits a coni...
关键词:Diabatic potential energy matrix Conical intersection Fundamental invariant neural network Non-adiabatic effect 
DIEONet:Domain-Invariant Information Extraction and Optimization Network for Visual Place Recognition
《Computers, Materials & Continua》2025年第3期5019-5033,共15页Shaoqi Hou Zebang Qin Chenyu Wu Guangqiang Yin Xinzhong Wang Zhiguo Wang 
supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region under grant number 2022D01B186.
Visual Place Recognition(VPR)technology aims to use visual information to judge the location of agents,which plays an irreplaceable role in tasks such as loop closure detection and relocation.It is well known that pre...
关键词:Visual place recognition domain-invariant information mining module multi-sample joint triplet loss 
Accuracy and Consistency of the Explicit-Invariant Energy Quadratization Approach for the Cahn-Hilliard Equation
《Journal of Mathematical Research with Applications》2025年第1期84-104,共21页Jun ZHANG Fangying SONG Yu ZHANG 
Supported by the National Natural Science Foundation of China(Grant No.11901100);the Scientific Research Foundation of Guizhou University of Finance and Economics(Grant No.2022XSXMB11).
It is well known that the explicit-invariant energy quadratization(EIEQ)approach can generate fully decoupled,linear and unconditionally energy-stable numerical schemes,so it is favored by many researchers.However,the...
关键词:Cahn-Hilliard equation EIEQ unconditionally energy stable fully decoupled Relaxation technique 
On Hempel Pairs and Turaev-Viro Invariants
《Chinese Annals of Mathematics,Series B》2025年第1期1-24,共24页Yi LIU 
supported by the National Natural Science Foundation of China (No. 11925101);the National Key R&D Program of China (No. 2020YFA0712800)。
Surface bundles arising from periodic mapping classes may sometimes have non-isomorphic, but profinitely isomorphic fundamental groups. Pairs of this kind have been discovered by Hempel. This paper exhibits examples o...
关键词:Profinite completion Mapping class group Turaev-Viro invariant 
A New Diabatic Potential Energy Matrix for the Two Lowest Electronic States of H3
《Chinese Journal of Chemical Physics》2025年第1期37-44,I0055,共9页Yingyue Hong Yafu Guan Dong H.Zhang 
supported by the National Natural Science Foundation of China(No.22288201);the Inno-vation Program for Quantum Science and Technology(No.2021ZD0303305);the Dalian Innovation Sup-port Program(No.2021RD05).
A new two-state diabatic potential energy matrix(DPEM)for H3 has been constructed,based on the fun-damental invariant neural network(FI-NN)diabatization method pro-posed in our previous work[Phys.Chem.Chem.Phys.21,150...
关键词:Diabatic potential energy matrix Conical intersection Fundamental invariant neural network 
On the topological number in Kelvin's circulation of inviscid fluids
《Communications in Theoretical Physics》2024年第12期174-178,共5页Z B Guo 
supported by the Natural Science Foundation of China(NSFC)under Grant No.12075013。
Kelvin's circulation,as a loop integral of the velocity field,is first shown to be equal toΓc=2πΔnΓ1+constant in an inviscid fluid,withΓ1a unit circulation.The integerΔn is interpreted as the number of net 27r-r...
关键词:TOPOLOGICAL INVARIANT NUMBER 
A Bayesian model calibration framework for stochastic compartmental models with both time-varying and timeinvariant parameters
《Infectious Disease Modelling》2024年第4期1224-1249,共26页Brandon Robinson Philippe Bisaillon Jodi D.Edwards Tetyana Kendzerska Mohammad Khalil Dominique Poirel Abhijit Sarkar 
the funding from the New Frontiers in Research Fund(NFRF)2022 Special Call e Research for Postpandemic Recovery(Grant no:NFRFR-2022-00395).
We consider state and parameter estimation for compartmental models having both timevarying and time-invariant parameters.In this manuscript,we first detail a general Bayesian computational framework as a continuation...
关键词:Time-varying parameter estimation Bayesian inference Stochastic compartmental models 
Higher Frobenius-Schur Indicators for Semisimple Hopf Algebras in Positive Characteristic
《Algebra Colloquium》2024年第4期675-688,共14页Zhihua Wang Gongxiang Liu Libin Li 
National Natural Science Foundation of China(Grant No.12271243);National Natural Science Foundation of China(Grant No.12371041).
Let H be a semisimple Hopf algebra over an algebraically closed field Ik of characteristic p>dimk(H)^(1/2).We show that the antipode S of H satisfies the equality S^(2)(h)=uhu^(-1),where h e H,u=S(A_((2))A_((1))and A ...
关键词:s2-formula Frobenius-Schur indicator gauge invariant 
On Covariance Switch-Based Invariant Extended Kalman Filter for Multi-Source Fusion
《Guidance, Navigation and Control》2024年第4期146-171,共26页Jiale Han Wei Ouyang Maoran Zhu Yuanxin Wu 
supported by National Key R&D Program(2022YFB3903802);National Natural Science Foundation(62303310,62273228)
The good estimation consistency of Invariant Extended Kalman Filter(InEKF)is mainly attributed to its excellent trajectory-independent property.However,when the InEKF is applied to multi-source inertial-based navigati...
关键词:Covariance switch invariant extended Kalman filter inertial-based navigation multi-source integrated navigation 
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