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In this paper, we are concerned with the problem of stabilization for autonomous dynamical systems. We use theories in Liapunov stability and Lasalle stability theory and show that system (H) is stabilizable. 相似文献
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51.IntroductionLetK:R"XR"-Rbeasmoothfunctionwithi)K(q,p)isevenandstrictlyconvexinP,VqeR"lii)K(q,6)=o,VqeR".Supl>oseV=R"-Rbeasmoothfunction,t:R"-R"'(,n<)l)beaSubmersiveoperator.WIlereR",R,.arendimensionalEducli(leanspace,qeR",PeR",C(q)=(C,(q),C,(q),-.'C.,(q)).DenoteH(q,p)=K(q,p) V(q).Throughoutthispaper,weletZ(=(q,p))=6betheequilibriumpointofthefollowingsystem-ForoperatorC,wedefinethespeedoperatorofCisWhere,CisconsideredCorr,rristl1e1>rojeclionoperatorfromR"XR,,toI{.,anddf(z)… 相似文献
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为了探究空孔间距对巷道掘进掏槽爆破效果的影响,基于大红山铜矿某巷道建立有限元数值模型,计算双大直径空孔不同布孔间距条件下的掏槽爆破成腔断面积,并对最优方案开展现场验证。研究结果表明:空孔间距dv=15 cm时,槽腔断面积为0.1641 m2;当dv增加到dv=25 cm时,槽腔断面积为0.2116 m2,断面积增大28.94%;当 dv增加到35 cm时,槽腔断面面积为0.2436 m2,断面积增大15.1%;但当dv增大到45 cm时,槽腔面积为0.1740 m2,断面积减小17.8%;当dv增大到55 cm时,槽腔面积为0.0951 m2,断面积减小45.3%。对成腔断面积最大的空孔间距dv=35 cm的布孔方案进行现场试验,2号现场试验测得槽腔断面宽度、高度及断面积分别比模拟结果小4.0%、3.4%和4.98%,多次试验与模拟结果误差均在5%以内,能够为地下巷道掏槽爆破成腔体积预测的数值方法构建提供数据参考。 相似文献
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TheProblemofPeriodicSolutionsforaClassofDynamicalSystems(Ⅰ)ZhangZhiping(DepartmentofMathematics,HenanUniversity,Kaifeng,47500... 相似文献
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In this paper,we considered the predator-prey system with stage-structure for prey,where the predators predate immature preys only.The positivity and boundedness of the solutions and asymptotic stability of equilibrium were firstly discussed,and then uniformly persistent sufficient conditions of populations were found. 相似文献
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A new technology of lightning location is described, which is based on detecting the state of polarization (SOP) fluctuation of the laser light in the optic ground wire (OPGW). Compared with the conventional lightning location method, the new method is more accurate, more stable, and cheaper. Theories of Stokes parameters and Poincare sphere are introduced to analyze the SOP at the lightning strike point. It can be concluded that although the initial points of SOP on the Poincare sphere are random, the SOP fluctuation generated by lightning strike can still be accurately identified by detecting the velocity of polarization motion. A new algorithm to quantify the velocity is also introduced. 相似文献
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Predicting Rate Constants for Nucleophilic Reactions of Amines with Diarylcarbenium Ions Using an ONIOM Method 下载免费PDF全文
The rate constants of the nucleophilic reactions between amines and benzhydrylium ions were calculated using first-principles theoretical methods. Solvation models including PCM, CPCM, and COSMORS, as well as different types of atomic radii including UA0, UAKS, UAHF, Bondi, and UFF, and several single-point energy calculation methods (B3LYP, B3P86, B3PW91, BHANDH, PBEPBE, BMK, M06, MP2, and ONIOM method) were exam-ined. By comparing the correlation between experimental rate constants and the calculated values, the ONIOM(CCSD(T)/6-311++G(2df,2p):B3LYP/6-311++G(2df,2p))// B3LYP/6-31G(d)/PCM/UFF) method was found to perform the best. This method was then employed to calculate the rate constants of the reactions between diverse amines and diarylcarbenium ions. The calculated rate constants for 65 reactions of amines with diarylcarbenium ions are in agreement with the experimental values, indicating that it is feasible to predict the rate constant of a reaction between an amine and a diarylcarbenium ion through ab initio calculation. 相似文献
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A micro-Gal absolute gravimeter based on high-precision and high-stability heterodyne interferometer is presented.The distance measuring technology of the gravimeter is studied in detail.The experimental results of distance measuring for a free-falling motion show that the high-precision heterodyne interfer- ometer described in this paper can meet the demand of a micro-Gal absolute gravimeter with relative uncertainty of 6.4×10~(-9).Moreover,the heterodyne interferometer is more stable than the Mach-Zehnder interferometer(MZI)which is widely used in present absolute gravimeters. 相似文献
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LetΩbe a bounded balanced pseudoconvex domain in Cn that admits a plurisubhamonic defining function of class C2. The authors prove that if f is a spiral-like mapping of typeαonΩ, then f can be expressed as a limiting form concerning a Schwarz mapping. Moreover, the characteristics for star-like mappings and spiral-like mappings of typeαare obtained. As a direct application, the growth theorem for spiral-like mappings of typeαis set up. 相似文献