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Normalized Solution for p-Kirchhoff Equation with a L2-supercritical Growth

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Acta Mathematicae Applicatae Sinica 2024年第2期40卷 414-429页

作者： Zhi-min REN Yong-yi lan School of Sciences Jimei UniversityXiamen 361005China

In this paper,we investigate the following p-Kirchhoff equation{∫R^(N)|u|^(2)dx=ρ,(a+b)∫RN(|Δu}^(p)+|u|^(p))dx)(-Δpu+|u|^(p-2u)=|u|^(s-2)u+μu,x∈R^(N),where a>0,b≥0,p>0 are constants,constants,p*=N-P/Np is the ... 详细信息

关键词： p-Kirchhoff equation normalized solution mountain-pass lemma

Chaos in Compact Binaries with Frequency Map Analysis

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Chinese Journal of Astronomy and Astrophysics 2006年第6期6卷 705-715页

作者： yi Xie tian-yi Huang Department of Astronomy Nanjing University Nanjing 210093

The dynamics of compact binaries is very complicated because of spin-orbit cou- pling and spin-spin coupling. With Laskar＇s frequency map analysis （FMA） and frequency diffusion as an indicator, we found that misalignment of the spins and orbital angular momentum has a great effect on the dynamics, and for systems with different mass ratios β = m2/ml chaos occurs at different spin-orbit configurations. For equal-mass binaries （β = 1）, chaos occurs when the spins nearly cancel each other out. For some other systems （for exampleβ - 1/2）, the binaries are irregular, even chaotic, when the spins are perpendicular to the orbital angular momentum. For the case where gravitational radiation is taken into account, we give an analytic estimation for the frequency diffusion based on the decay of the orbit, which is roughly consistent with our simulations. This means the FMA is not suitable as a chaos indicator for weak chaotic cases with dissipative terms.

关键词： celestial mechanics - (stars:) binaries (including multiple) close

Effects of loneliness and isolation on cardiovascular diseases:a two sample Mendelian Randomization Study

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Journal of Geriatric Cardiology 2024年第3期21卷 340-348页

作者： Jia-yin CAI Xin WANG Cong-yi ZHENG Xue CAO Zhen HU Run-Qing GU yi-Xin tian Ye tian lan SHAO Lin-Feng ZHANG Zeng-Wu WANG Division of Prevention and Community Health National Center for Cardiovascular DiseaseNational Clinical Research Center of Cardiovascular DiseaseState Key Laboratory of Cardiovascular DiseaseFuwai HospitalPeking Union Medical College&Chinese Academy of Medical SciencesBeijingChina

BACKGROUND Loneliness and isolation are associated with multiple cardiovascular diseases(CVDs),but there is a lack of research on whether they were causally *** conducted a Mendelian Randomization(MR)study to explore causal relationships between loneliness and isolation and multiple *** Single nucleotide polymorphisms associated with loneliness and isolation were identified from a genome-wide association study(GWAS)of 455,364 individuals of European ancestry in the IEU GWAS *** data for 15 CVDs were also obtained from the IEU GWAS *** used three MR methods including inverse variance weighting,MR-Egger,and weighted median estimation to assess the causal effect of exposure on ***'s Q test and MR-Egger intercept test were used to evaluate the heterogeneity and *** MR analysis showed that loneliness and isolation were significantly associated with essential hypertension(OR=1.07,95%CI:1.03-1.12),atherosclerotic heart disease(OR=1.04;95%CI:1.02-1.06),myocardial infarction(OR=1.02;95%CI:1-1.04)and angina(OR=1.04;95%CI=1.02-1.06).No heterogeneity and pleiotropy effects were found in this *** Causal relationship of loneliness and isolation with CVDs were found in this study.

关键词： diseases cardiovascular angina

On Subsonic and Subsonic-Sonic Flows with General Conservatives Force in Exterior Domains

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Acta Mathematicae Applicatae Sinica 2023年第1期39卷 3-16页

作者： Xumin GU tian-yi WANG Department of Mathematics Shanghai University of Finance and EconomicsShanghai 200433China Department of Mathematics School of ScienceWuhan University of TechnologyWuhan 430070China The Institute of Mathematical Sciences the Chinese University of Hong KongShatinN.T.Hong Kong Gran Sasso Science Institute viale Francesco Crispi767100 L'AquilaItaly

In this paper, we study the irrotational subsonic and subsonic-sonic fows with general conservative forces in the exterior domains. The conservative forces indicate the new Bernoulli law naturally. For the subsonic case, we introduce a modified cut-off system depending on the conservative forces which needs the varied Bers skill, and construct the solution by the new variational formula. Moreover, comparing with previous results, our result extends the pressure-density relation to the general case. Afterwards we obtain the subsonic-sonic limit solution by taking the extract subsonic solutions as the approximate sequences.

关键词： steady fow homentropic irrotation subsonic fow subsonic-sonic limit

Damping of displaced chaotic light field in amplitude dissipation channel

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Chinese Physics B 2020年第10期29卷 161-166页

作者： Ke Zhang lan-lan Li Hong-yi Fan School of Electronic Engineering Huainan Normal UniversityHuainan 232038China University of Science and Technology of China Hefei 230031China

We explore how a displaced chaotic light (DCL) behaves in an amplitude dissipation channel, and what is its time evolution formula of photon number distribution. With the use of the method of integration within ordered product product of operator (IWOP) and the new binomial theorem involving two-variable Hermite polynomials we obtain the evolution law of DCL in the channel.

关键词： displaced chaotic light amplitude dissipation channel time evolution formula IWOP

Data-driven cooperative optimal output regulation for linear discrete-time multi-agent systems by online distributed adaptive internal model approach

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Science China(Information Sciences) 2023年第7期66卷 30-45页

作者： Kedi XIE yi JIANG Xiao YU Weiyao lan Department of Automation Xiamen University Department of Electrical Engineering City University of Hong Kong Key Laboratory of Control and Navigation(Xiamen University) Fujian Province University

In this study, a data-driven learning algorithm was developed to estimate the optimal distributed cooperative control policy, which solves the cooperative optimal output regulation problem for linear discretetime multi-agent systems. Notably, the dynamics of all the agent systems and exo-system is completely unknown. By combining adaptive dynamic programming with an internal model, a model-free off-policy learning method is proposed to estimate the optimal control gain and the distributed adaptive internal model by only accessing the measurable data of multi-agent systems. Moreover, different from the traditional cooperative adaptive controller design method, a distributed internal model is approximated online. Convergence and stability analyses show that the estimate controller generated by the proposed data-driven learning algorithm converges to the optimal distributed controller. Finally, simulation results verify the effectiveness of the proposed method.

关键词： adaptive dynamic programming cooperative control distributed adaptive internal model multi-agent systems optimal output regulation

Maximum Likelihood Estimator of the Parameter for a Continuous One-Parameter Exponential Family Under the Optimal Ranked Set Sampling

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Journal of Systems Science & Complexity 2017年第6期30卷 1350-1363页

作者： CHEN Wangxue tian yi XIE Minyu Department of Mathematics and Statistics Jishou University Department of Mathematics and Statistics Central China Normal University

This paper studies a maximum likelihood estimator(MLE) of the parameter for a continuous one-parameter exponential family under ranked set sampling(RSS). The authors first find the optimal RSS according to the character of the family, viz, arrange the RSS based on quasi complete and sufficient statistic of independent and identically distributed(iid) samples. Then under this RSS, some sufficient conditions for the existence and uniqueness of the MLE, which are easily used in practice,are obtained. Using these conditions, the existence and uniqueness of the MLEs of the parameters for some usual distributions in this family are proved. Numerical simulations for these distributions fully support the result from the above two step optimizations of the sampling and the estimation method.

关键词： Complete sufficient statistic continuous one-parameter exponential family maximum likelihood estimator ranked set sampling

Finite-Time Synchronization of Complex Networks With Intermittent Couplings and Neutral-Type Delays

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IEEE/CAA Journal of Automatica Sinica 2023年第10期10卷 2026-2028页

作者： Engang tian yi Zou Hongtian Chen School of Optical-Electrical and Computer Engineering University of Shanghai for Science and TechnologyShanghai 200093China Department of Automation Shanghai Jiao Tong UniversityShanghai 200240China

Dear Editor, This letter focuses on the finite-time synchronization(FTS) of neutral-type complex networks with intermittent couplings. Different from most of the existing references concerning neutral-type systems,a delay-independent dynamical event-triggering controller is considered, operating the same way as the intermittent coupling and excluding the Zeno behavior naturally.

关键词： neutral letter concerning

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Crystalline porous materials for catalytic conversion of lignin-related substances

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Aggregate 2024年第3期5卷 142-163页

作者： Qing Huang Pengfei Wu Xiu-Fen Li yi-Rong Wang Dan tian Ya-Qian lan College of Materials Science and Engineering Nanjing Forestry UniversityNanjingJiangsuP.R.China School of Chemistry South China Normal UniversityGuangzhouP.R.China Co-Innovation Center for Sustainable Forestry in Southern China Nanjing Forestry UniversityNanjingJiangsuP.R.China

The conversion of the biomass into eco-friendly fuels and chemicals has been exten-sively recognized as the essential pathway to achieve the sustainable economy and carbon neutral ***,as a kind of promising biomass energy,has been certiﬁed to produce the high-valued chemicals and *** efforts have been made to develop various catalysts for lignin catalytic *** metal-organic frameworks(MOFs)and covalent organic frameworks(COFs)belong to very important heterogeneous porous catalysts due to their regular porous struc-tures,high speciﬁc surface area,and precisely tailored *** the review,theﬁrst part focused on the catalytic conversion of lignin,lignin model compounds,and lignin derivatives using the pristine MOFs,functional MOF composites,and MOF-derived *** second part summarized the catalytic conversion of lignin model compounds using pristine COFs and functional COF *** review here mainly concentrated on the design of the materials,screening of catalytic conditions,and explorations of the corresponded ***ﬁcally,(1)we summarized the MOF-and COF-based materials for the effects on the catalytic trans-formation of lignin-related substances;(2)we emphasized the catalytic mechanism of C–C and C–O bonds cleavage together with the structure–activity relationships;(3)we in-depth realized the relationship between the chemical/electronic/structural properties of the MOF-and COF-based catalysts and their catalytic performance for lignin-related ***,the challenges and future perspectives were also discussed on the catalytic conversion of lignin-related substances by MOF-and COF-based catalysts.

关键词： catalytic conversion covalent organic frameworks lignin lignin derivatives lignin model compounds metal-organic frameworks