强非局域非线性介质中高斯光束的传输特性

从Helmholtz方程出发，讨论了高斯光束在1＋1维强非局域非线性介质中的传输特性及其光束柬宽随位置的演化，即当介质的响应函数为高斯型时，用理论分析和数值模拟的方法，讨论了响应函数的特征宽度wm对光束传输的影响．     

非线性延迟系统Runge-Kutta方法的稳定性探讨

针对时间依赖型的非线性多变延迟系统,采用变步长的Runge-Kutta方法求解,证明了匹配一定插值方法的代数稳定的Runge-Kutta方法是VR稳定的。     

信息物理融合系统软件可信性演化动力学建模

信息物理融合系统(CPS)软件可信性建模是CPS可信软件开发过程中至关重要的一环,现有的形式化方法、软件验证技术并不适合对CPS软件可信性动态演化进行描述和分析。在深入分析CPS可信软件动态演化过程的基础上,结合非线性动力学的基本理论和方法,研究CPS软件可信性演化的动力学机制,对CPS软件在内外双重因素影响下的可信性演化过程进行建模,并分析其可信性演化规律,为CPS软件可信性研究提供了一种新手段。通过对一个工业控制领域中CPS软件的建模与分析,验证了该方法的可行性。     

Identifying crime generators and spatially overlapping high-risk areas through a nonlinear model: A comparison between three cities of the Valencian region (Spain)

The behavior and spatial distribution of crime events can be explained through the characterization of an area in terms of its demography, socioeconomy, and built environment. In particular, recent studies on the incidence of crime in a city have focused on the identification of features of the built environment (specific places or facilities) that may increase crime risk within a certain radius. However, it is hard to identify environmental characteristics that consistently explain crime occurrence across cities and crime types. This article focuses on the assessment of the effect that certain types of places have on the incidence of property crime, robbery, and vandalism in three cities of the Valencian region (Spain): Alicante, Castellon, and Valencia. A nonlinear effects model is used to identify such places and to construct a risk map over the three cities considering the three crime types under research. The results obtained suggest that there are remarkable differences across cities and crime types in terms of the types of places associated with crime outcomes. The identification of high-risk areas allows verifying that crime is highly concentrated, and also that there is a high level of spatial overlap between the high-risk areas corresponding to different crime types.     

辅助方程法解的推广及其非线性发展方程的精确孤立波解

本文将辅助方程法中的解的展式取为更一般的形式进而推广辅助方程法并利用此推广给出（1＋1）维组合KdV方程和（1＋1）维mKdV方程的精确孤立波解.     

非线性模拟量检测的多点定标方法

嵌入式系统和集散控制系统中,待测模拟量一般都是非线性的。为实现非线性模拟量的精确、快速检测,提出了非线性模拟量的多点定标检测方法。分别给出了分段线性化和分段变频率两种定标方法的编程思路,可提高非线性模拟量检测的精度和局部分辨率。     

Self-Selection and Optimal Nonlinear Effluent Charges

This paper proposes an optimal nonlinear effluent-charge system forenvironmental pollution control. This system achieves the first-bestoptimum through a self-selecting mechanism under asymmetric information.The proposed system can also control the level of revenues so as to reducethe excess burden of environmental taxation, and discriminate among thepolluters. The paper also compares this system with the conventional lineareffluent-charge system and discusses some economic implications ofimplementing the system.     

基于信息共享的供应链定价策略及利润增值研究

基于单一制造商和单一零售商构成的供应链系统,在非线性市场需求的前提下,应用博弈理论对供应链系统的定价策略进行了分析,分别得出信息共享时的博弈均衡解和信息不共享时的博弈均衡解;进一步分析了信息共享程度的大小与批发价、零售价以及双方利润之间的关系,得出信息共享程度越高,制造商和零售商的利润越大,信息共享实现了帕累托改进。最后,通过实例对结论进行了验证。     

Nonlinearities in CDS-Bond Basis

Theoretically, the risk premium captured by credit default swap (CDS) and bond yield spreads should be equal. However, data reveals a significant difference between the two spreads. The authors explore the presence of mean-reverting behavior in this difference (CDS-bond basis) in selected emerging markets, employing alternative threshold models (TAR, TAR-GARCH, and ESTAR). Their results indicate a positive relationship between the speed of adjustment and the trading frequency of sovereign CDSs and bonds.     

NO MARGINAL ARBITRAGE OF THE SECOND KIND FOR HIGH PRODUCTION REGIMES IN DISCRETE TIME PRODUCTION–INVESTMENT MODELS WITH PROPORTIONAL TRANSACTION COSTS

We consider a class of production–investment models in discrete time with proportional transaction costs. For linear production functions, we study a natural extension of the no‐arbitrage of the second kind condition introduced by Rásonyi. We show that this condition implies the closedness of the set of attainable claims and is equivalent to the existence of a strictly consistent price system under which the evaluation of future production profits is strictly negative. This allows us to discuss the closedness of the set of terminal wealth in models with nonlinear production, functions which may admit arbitrages of the second kind for low production regimes but not marginally for high production regimes.