A sufficient condition for stability using slopes of isoclines in planar mappings

Coupled planar maps are often parameter dependent, with the stability of their fixed points depending on the values of the parameters chosen. As the magnitude of the eigenvalues is difficult to determine when the number of parameters is large, one commonly uses instead the Jury conditions for the Jacobian, but even this can present difficulties. In this paper, we will show a simpler sufficient criteria for local asymptotic stability that follows by comparing slopes of isoclines.     

Extinction time and the total mass of the continuous-state branching processes with competition

Consider a general continuous-state branching process with additional interaction, which destroys the branching property. We give precise conditions on the interaction term, in order to decide whether the extinction time of the process remains or not bounded as the initial value tends to infinity, and similarly for the total mass of the process.     

第32届江苏省化学竞赛选拔赛有机化学试题解析*

利用有机化学基础知识和理论对第32届江苏省化学竞赛选拔赛试题有机化学部分进行详细解析,为指导老师和参赛学生提供参考。     

以联席会和竞赛为载体构建实验教学改革交流的新平台——浙江省高校化学化工实验教学中心主任联席会暨化学学科(实验)竞赛10周年回顾

介绍成立浙江省高校化学化工实验教学中心联席会(以下简称:联席会)、举办化学学科(实验)竞赛的背景及发展情况。以联席会和竞赛为载体,建立了全省实验教学研究与改革的交流平台,扩大了实验教学示范中心的影响力和辐射面,推动了实验室建设、课程建设以及人才培养等各项工作,取得了丰硕的教学成果。     

Competition between halogen bond and hydrogen bond in complexes of superalkali Li3S and halogenated acetylene XCCH (X = F,Cl, Br,and I)

Complexes of superalkali Li₃S and XCCH (X = F, Cl, Br, and I) have been studied with theoretical calculations at the MP2/aug‐cc‐pVTZ level. Three types of structures are found: (A) the X atom combines with the S atom through a halogen bond; (B) the X atom interacts with the π electron of Li₃S by a π halogen bond; (C) the H atom combines with the S atom through a hydrogen bond. For A and B, a heavier halogen atom makes the interaction stronger, while for C, the change of interaction energy is not obvious, showing a small dependence on the nature of the X atom in HCCX. A is more stable than B and their difference in stability decreases as X varies from Cl to I. For the F and Cl complexes, A is weaker than C, however, the former is stronger than the latter in the Br and I complexes. The above three types of interactions have been analyzed by means of electron localization function, electron density difference, and energy decomposition, and the results show that they have similar nature and features with conventional interactions. © 2014 Wiley Periodicals, Inc.     

高中化学竞赛中电子效应和空间效应考点分析——以近年全国化学奥林匹克竞赛试题为例

电子效应和空间效应是有机化学的基础,近年来,这部分知识在全国化学奥林匹克竞赛中的考查比例处于上升趋势。因此,以近年全国化学奥林匹克竞赛试题为例,详细说明电子效应和空间效应在竞赛中的考点,帮助辅导化学竞赛的教师和参加化学竞赛的考生了解该部分知识需要达到的教学标准和掌握层次。     

大学生化学竞赛对实验教学改革与创新人才培养的促进作用*

大学生的化学竞赛是课内实验教学的有效延伸,也是从学生视角对实验教学效果的有效检验。通过分析和比较学生参加化学实验竞赛的过程和效果,能有效促进化学实验教学改革、课程建设及创新人才的培养。近年来吉林大学化学学院学生实验竞赛的成绩显著提高,一方面通过化学竞赛激发本科生喜爱化学和开展化学研究的热情,增加学习的主观能动性;另一方面通过竞赛发现问题,在解决问题的过程中促进实验教学改革和课程建设,学院“三阶段”模式的竞赛活动开展,更加有利于培养学生的创新意识和创新能力,促进了化学创新人才的培养。     

竞争环境下供应链的BOPS合作策略及其对交通拥堵改善的影响

针对由一个拥有线上直销渠道的制造商以及一个线下零售商组成的供应链,考虑消费者对不同渠道的偏好构建了供应链博弈模型,研究了竞争环境下制造商与零售商的最优BOPS合作策略,并分析了BOPS合作在改善交通拥堵方面的作用。研究表明,BOPS合作在缓解供应链双重边际效应的同时会加剧渠道之间的价格竞争,所以并不总是对供应链有利;仅当消费者线上渠道偏好程度比较低且线下麻烦成本比较大时,制造商和零售商才会都从BOPS合作中受益从而自愿达成合作,其他情形下制造商可根据供应链利润变化设计转移支付契约促成与线下零售商的BOPS合作并实现双赢;此外,一定条件下BOPS合作能够通过调整渠道需求结构,在保证供应链成员利润的同时对交通拥堵改善也带来正向作用。     

Ideal Free Distribution in Two Patches

In this paper, the formats of Julia sets for a class of nonlinear complex dynamic systems with variable coefficients were studied under certain conditions. For the complex dynamic systems in piecewise cases, we proposed some methods to control the forms of their Julia sets and stable domains analytically. What’s more, we illustrated that our methods worked well by computational simulations. Our work provides a better understanding about how to control the Julia sets of certain complex dynamic systems.     

Realizing the Promise—The Development of Research on Carbon Nanotubes

The present reflection on the development of research on carbon nanotubes (CNTs) stems from the publication of the report “Realizing the Promise of Carbon Nanotubes” by the US National Nanotechnology Initiative in 2015. The report is a critical assessment of the state‐of‐art of CNT research and highlights some unresolved issues related with this field. Starting from the results of this assessment, we carried out an analysis of the publications’ pool in CNTs and related domains, by exploiting bibliometric tools. We focused on the item of competition/collaboration between disciplines and nations, with the purpose of evaluating the position of chemistry (as a discipline) as well as the position of the main European countries and the European Union (EU) as a whole in the context of CNT research. The results of such analysis outline very clearly the interdisciplinary landscape wherein CNT research is situated and show the highly competitive place occupied by EU in the field.