Basins of Attraction of Periodic Oscillations in Suspension Bridges

We consider the dynamics of the lowest order transversal vibration mode of a suspension bridge, for which the hangers are treated as one-sided springs, according to the model of Lazer and McKeena [SIAM Review 58, 1990, 537]. We analyze in particular the multi-stability of periodic attractors and the basin of attraction structure in phase space and its dependence with the model parameters. The parameter values used in numerical simulations have been estimated from a number of bridges built in the United States and in the United Kingdom, thus taking into account realistic, yet sometimes simplified, structural, aerodynamical, and physical considerations.     

KLVFF peptide functionalized nanoparticles capture Aβ42 by co-assembly for decreasing cytotoxicity

The bis(pyrene)-Lys-Leu-Val-Phe-Phe-Gly-poly ethylene glycol (BP-KLVFFG-PEG) based nanoparticles capture Aβ₄₂ by recognition and co-assembly, the length of PEG chain in which leads to different morphologies of coassemblies and capture efficiency. The co-assembly strategy shows a decrease of cytotoxicity, potentially for Alzheimer's disease treatment.     

谐和与噪声联合作用下Duffing振子的安全盆分叉与混沌

研究了软弹簧Duffing振子在确定性谐和外力和有界随机噪声联合作用下，系统安全盆的侵蚀和混沌现象.推导出系统的随机Melnikov过程，根据Melnikov过程在均方意义上出现简单零点的条件给出了系统出现混沌的临界值，然后用数值模拟方法计算了系统的安全盆分叉点.结果表明，由于随机扰动的影响，系统的安全盆分叉点发生了偏移，并且使得混沌容易发生. 关键词： Duffing振子 安全盆 分叉 混沌     

血液中循环肿瘤细胞捕获与释放方法研究进展

血液中的循环肿瘤细胞(CTCs)与癌症转移密切相关,对CTCs进行检测有利于实现癌症早期诊断。但由于血液中CTCs个数稀少且存在异质性,因此急需发展血液中CTCs的高效分离及检测方法。此外,释放被捕获的细胞并进行后续培养及基因水平分析,将会进一步推进癌症的个性化治疗。本文综述了近年来CTCs捕获及释放的相关研究进展,并展望了其应用前景及发展方向。     

有界随机噪声激励下软弹簧Duffing振子的安全盆分叉

研究了软弹簧Duffing振子在有界随机噪声激励下，系统安全盆的侵蚀现象，并提出了随机安全盆分叉的概念. 计算表明，由于随机扰动的影响，系统的随机安全盆分叉点发生了偏移. 关键词： Duffing振子 有界随机噪声 安全盆 分叉     

中空多壳层结构在电磁波领域中的应用

中空多壳层结构(HoMSs)是一种以纳米颗粒为结构单元构筑而成的具有多界面、 多维度的微纳米级宏观组装体, 具有次序排列的多个壳层及相互连通的多个空腔, 被认为是电磁波领域极具应用前景的功能材料. 本文主要从电磁波捕获、 传输及能量转换3个角度详细阐述HoMSs在电磁波领域应用中的独特优势, 浅析了HoMSs壳层数目、 壳层厚度、 壳层间距、 壳层组成等结构参数对电磁波传输与利用的影响规律, 并预测了HoMSs在电磁波领域的发展趋势, 以期为实现电磁波的高效利用提供参考.     

一个捕捉与再捕捉模型的贝叶斯分析

本文在无信息先验和Jeffreys先验下 ,就捕捉与再捕捉试验和多次重复的捕捉与再捕捉试验两种情况 ,推导了封闭总体中个体总数N的贝叶斯点估计与区间估计 ,并计算了一个实例     

A new two-point scheme for multiple roots of nonlinear equations

In most of the earlier research for multiple zeros, in order to obtain a new iteration function from the existing scheme, the usual practice is to make no change at the first substep. In this paper, we explore the idea that what are the advantages if the flexibility of choice is also given at the first substep. Therefore, we present a new two-point sixth-order scheme for multiple roots (m>1). The main advantages of our scheme over the existing schemes are flexibility at both substeps, simple body structure, smaller residual error, smaller error difference between two consecutive iterations, and smaller asymptotic error constant. The development of the scheme is based on midpoint formula and weight functions of two variables. We compare our methods with the existing methods of the same order with real-life applications as well as standard test problems. From the numerical results, we find that our methods can be considered as better alternates for the existing methods of the same order. Finally, dynamical study of the proposed schemes is presented that confirms the theoretical results.     

The isolated critical value phenomenon in local－global riddling bifurcation

A chaotic synchronized system of two coupled skew tent maps is discussed in this paper. The locally and globally riddled basins of the chaotic synchronized attractor are studied. It is found that there is a novel phenomenon in the local－global riddling bifurcation of the attractive basin of the chaotic synchronized attractor in some specific coupling intervals. The coupling parameter corresponding to the locally riddled basin has a single value which is embedded in the coupling parameter interval corresponding to the globally riddled basin, just like a breakpoint. Also, there is no relation between this phenomenon and the form of the chaotic synchronized attractor. This phenomenon is found analytically. We also try to explain it in a physical sense. It may be that the chaotic synchronized attractor is in the critical state, as it is infinitely close to the boundary of its attractive basin. We conjecture that this isolated critical value phenomenon will be common in a system with a chaotic attractor in the critical state, in spite of the system being discrete or differential.