Chaos in a topologically transitive system

The chaotic phenomena have been studied in a topologically transitive system and it has been shown that the erratic time dependence of orbits in such a topologically transitive system is more complicated than what described by the well-known technology "Li-Yorke chaos". The concept "sensitive dependency on initial conditions" has been generalized, and the chaotic phenomena has been discussed for transitive systems with the generalized sensitive dependency property.

A class of Furstenberg families and their applications to chaotic dynamics

For each sequence of positive real numbers,tending to positive infinity,a Furstenberg family is defined.All these Furstenberg families are compatible with dynamical systems.Then,chaos with respect to such Furstenberg families are intently discussed.This greatly improves some classical results of distributional chaos.To confirm the effectiveness of these improvements,the relevant examples are provided finally.

基于新型纳米材料的荧光法快速测量谷胱甘肽

血清中谷胱甘肽(GSH)的含量水平与多种疾病的发生相关,本文成功建立了一种能快速灵敏测量GSH含量的荧光法。以二氧化硅纳米颗粒为载体和稳定剂,在超声条件下简单、快速地合成了二氧化锰包覆的二氧化硅纳米颗粒(SiO2@MnO2);以精氨酸和胸腺嘧啶为配体合成了具有高荧光量子产率的荧光金纳米簇(Arg/ATT/AuNCs)。实验结果表明GSH的强还原性可以分解MnO2释放出Mn(II)猝灭Arg/ATT/AuNCs的荧光,因此建立了基于SiO2@MnO2和Arg/ATT/AuNCs的荧光法测量血清中GSH。在最优条件下,该方法定量测量GSH的线性范围为2.5~20 nmol/L,最低检测限为1.23 nmol/L,优于已报道的类似方法。本方法测量低、中、高浓度GSH的相对扩展不确定度分别为8.6%、12.4%、18.8%(k=2),准确度在87.0%~105.6%之间,满足GSH检测的需求,为血清中GSH含量的灵敏、准确测量提供了新技术。