测度熵计算中映射不变分布的应用

构造计算测度熵(MetricEntropy)的马尔可夫划分(MarkovPartition)时,对于非线性映射采取等似然假设,影响精度。提出用计算映射的不变分布来进行改进;对逻辑映射导出映射不变分布的算式及迭代格式,进行了测度熵的计算;计算表明,迭代次数不多时即能得出较好结果。     

A FURTHER STUDY OF THE THEORY OF ELASTIC CIRCULAR PLATES WITH NON－KIRCHHOFF－LOVE ASSUMPTIONS

ＡＦＵＲＴＨＥＲＳＴＵＤＹＯＦＴＨＥＴＨＥＯＲＹＯＦＥＬＡＳＴＩＣＣＩＲＣＵＬＡＲＰＬＡＴＥＳＷＩＴＨＮＯＮ－ＫＩＲＣＨＨＯＦＦ－ＬＯＶＥＡＳＳＵＭＰＴＩＯＮＳＣｈｉｅｎＷｅｉ－ｚａｎｇ（钱伟长）ＲｕＸｕｅ－ｐｉｎｇ（茹学萍）（ＳｈａｎｇｈａｉＵｎｉ...     

The global analysis of higher order nonlinear dynamical systems and the application of cell-to-cell mapping method

In this paper, the general characteristics and the topological consideration of the global behaviors of higher order nonlinear dynamical systems and the characteristics of the application of cell-to-cell mapping method in this analysis are expounded. Specifically, the global analysis of a system of two weakly coupled van der Pol oscillators using cell-to-cell mapping method is presented.The analysis shows that for this system, there exist two stable limit cycles in 4-dimensional state space, and the whole 4-dimensional state space is divided into two almost equal parts which are, respectively, the two asymototically stable domains of attraction of the two periodic motions of the two stable limit cycles. The validities of these conclusions about the global behaviors are also verified by direct long term numerical integration. Thus, it can be seen that the cell-to-cell mapping method for global analysis of fourth order nonlinear dynamical systems is quite effective.     

国外混凝土强度问题研究概况

混凝土强度涉及的内容和方面甚多。目前国外研究主要从下列几个方面进行:1、混凝土微观结构,包括组成及其物理化学作用;2、混凝土内裂缝的形成及其发展过程,借以探讨混凝土的破坏机理;3、不同受力状态下的破坏强度和变形(包括应力应变关系);4、在试验研究分析基础上,进行破坏理论的研究,其中包括各种模型和统计强度理论的探讨。      

LOW-FREQUENCY INTERNAL FRICTION STUDY FOR SrBi2Ta2O9 FERROELECTRIC CERAMICS

Low-frequency internal friction (IF) of SrBi₂Ta₂O₉(SBT) ceramics has been measured at temperatures ranging from 293 to 623 K. Two IF peaks, with their locations around 393 K (P1) and 569 K (P2) (f≈1.58 Hz), respectively, are observed. P1 is found to be associated with a relaxation process with activation energy of 0.97 eV and pre-exponential factor of 3.58×10^-14 s. Peak shape analyses reveal that P1 can be well described by a broadened Debye peak with the width parameter β from 2.70 to 2.92. The mechanism responsible for P1 is proposed to be relaxation of oxygen vacancies near domain walls(DWs). P2 is considered to arise from viscous motion of DWs since it shows characteristics of static hysteresis type. Comparisons for the IF behavior between SBT and Pb(Zr, Ti)O₃(PZT) suggest that in SBT oxygen vacancies are much less localized near DWs than that in PZT. This result provides a possible explanation for the weak DW pinning due to oxygen vacancies in SBT.     

A light scalar in the Minimal Dilaton Model in light of the LHC constraints

Whether an additional light scalar exists is an interesting topic in particle physics beyond the Standard Model(SM), as we do not know as yet the nature of physics beyond the SM in the low mass region in view of the inconsistent results of the ATLAS and CMS collaborations in their search for light resonances around 95 GeV in the diphoton channel. We study a light scalar in the Minimal Dilaton Model(MDM). Under the theoretical and the latest experimental constraints, we sort the selected data samples into two scenarios according to the diphoton rate of the light scalar: the large-diphoton scenario(with σ_(γγ)/SM■0.2) and the small-diphoton scenario(with σ_(γγ)/SM■0.2),which are favored by the CMS and ATLAS results, respectively. We compare the two scenarios, test the characteristics of the model parameters, the scalar couplings, production and decay, and consider how they could be further discerned at colliders. We draw the following conclusions for the two scenarios:(i) The large-diphoton scenario has in general a small Higgs-dilaton mixing angle(|sinθ_S|■0.2) and a small dilaton vacuum expectation value(VEV)f(0.5■η≡ v/f■1),and the small-diphoton scenario has large mixing(| sinθ_S|■0.4) or large VEV(η≡v/f ■0.3).(ii) The large-diphoton scenario in general predicts small syy coupling(|C_(sγγ)/SM|■ 0.3) and large sgg coupling(0.6■|C_(sgg)/SM|■1.2), while the small-diphoton scenario predicts small sgg coupling(|C_(sgg)/SM|■0.5).(iii) The large-diphoton scenario can interpret the small diphoton excess seen by CMS at its central value, when m_s■ 95 GeV,η■0.6 and | sinθ_S|■0.(iv) The large-diphoton scenario in general predicts a negative correlation between the Higgs couplings |C_(hγγ)/SMI and |C_(hgg)/SM|, while the small-diphoton scenario predicts that both couplings are smaller than 1,or |C_(hγγ)/SM|■0.9■|C_(hgg)/SM|.     

Analytical expressions of non-relativistic static multipole polarizabilities for hydrogen-like ions

Analytical formulas for the static multipole polarizabilities of hydrogen-like ions are derived by using the analytical wave functions and the reduced Green function and by applying a numerical fitting procedure.Our results are then applied to the studies of blackbody radiation shifts to atomic energy levels at different temperatures.Our analytical results can be served as a benchmark for other theoretical methods.     

《影像科学与光化学》期刊学术诚信声明

为维护学术公正公平、弘扬学术道德、净化学术环境、倡导优良学风,特发表如下声明:我刊坚决反对各种学术不端、学术不当行为,包括抄袭剽窃、篡改伪造、不当署名、虚假引用、内容重复发表、一稿多投、一稿多发等现象。本刊采取初审时和发表前两次查重,凡被发现存在上述问题者,及时给予严肃处理:正在审理或已录用但未发表的论文,立即退稿;已经发表的论文,查实后立即从数据库中撤出。同时,视情节轻重采取批评、警告、公示、通报作者所在单位、不再接收该作者投稿等处理措施。     

非线性模态构造方法与机电耦合系统Hopf分岔

大型汽轮发电机组轴系与电网耦合次同步谐振（ＳＳＲ）现象是在某种参数条件下机电耦合系统产生Ｈｏｐｆ分岔的结果。在文献［１］中，作者提出了分析这种系统Ｈｏｐｆ分岔的非线性模态方法，得出了在固定参数下分岔解的结果。本文针对高维非线性动力系统（包括奇数维），提出新的非线性模态构造方法，并给出了机电耦合次同步振荡系统在辅助参数变化条件下分岔解的的变化规律。     

2005CSEM第十一届全国实验力学学术会议纪要

中国力学学会第十一届全国实验力学学术会议于2005年7月26至29日在大连理工大学召开。中国力学学会实验力学专业委员会委员邵龙潭教授主持了开幕式，大连理工大学校长程耿东院士到会祝贺并致词，专业委员会主任委员亢一澜教授致开幕词。