Sets of Dynamical Systems with Various Limit Shadowing Properties

We study the C ¹-interiors of sets of diffeomorphisms of a closed smooth manifold with various limit shadowing properties. It is shown that, for some natural analogs of the usual limit shadowing property, the corresponding C ¹-interiors coincide with the set of Ω-stable diffeomorphisms. The same problem is considered for two-sided analogs of the limit shadowing property. To Pavol Brunovsky on the occasion of his 70th birthday.     

Stable weakly shadowable volume-preserving systems are volume-hyperbolic

We prove that any C1-stable weakly shadowable volume-preserving diffeomorphism defined on a compact manifold displays a dominated splitting E ⊕ F. Moreover, both E and F are volume-hyperbolic. Finally, we prove the version of this result for divergence-free vector fields. As a consequence, in low dimensions, we obtain global hyperbolicity.     

On homeomorphisms with the two-sided limit shadowing property

We prove that the two-sided limit shadowing property is among the strongest known notions of pseudo-orbit tracing. It implies shadowing, average shadowing, asymptotic average shadowing and specification properties. We also introduce a weaker notion that is called two-sided limit shadowing with a gap and prove that it implies shadowing and transitivity. We show that those two properties allow to characterize topological transitivity and mixing in a class of expansive homeomorphisms and hence they characterize transitive (mixing) shifts of finite type.     

激光海面漫反射解析特性研究

为了解决激光在海战中的应用瓶颈问题,采用基尔霍夫近似的方法对激光海面漫反射特性进行了研究.通过对激光光束入射海面后产生的散射场的分析、计算,并采用遮蔽函数对计算过程中的阴影效应加以修正,得出了较为准确的二维激光海面双站散射系数.最后通过分析,得出了海面粗糙度、入射角度与激光漫反射率之间的关系,为相关的研究提供了一定的理...     

合肥、岳西、厦门和北京气溶胶谱分布特征分析

为了研究中国东部典型地区气溶胶粒子谱分布特征,建立东部典型地区的气溶胶粒子谱分布模式,1998年11月～2010年6月期间,使用光学粒子计数器对合肥、岳西、厦门和北京等地区的大气气溶胶进行了长期测量.使用对数正态分布对谱分布进行拟合,对不同地区不同月份的气溶胶谱分布进行了统计和对比分析,初步建立中国东部典型地区气溶胶谱...     

Second‐order statistics of system with N‐branch microdiversity and L‐branch macrodiversity operating over gamma shadowed Nakagami‐m fading channels

The problem concerning short‐term fading and long‐term fading (shadowing) and their deleterious effects on wireless systems performance has been in focus for a long time. In this paper, motivated by the results of propagation measurements in land‐mobile and indoor‐mobile systems, and by the fact that gamma distribution can describe shadowing reliably, Nakagami‐m distribution is used to model the signal envelope and gamma distribution is used to model the average signal power. Receive diversity with maximal‐ratio combining and selection combining is implemented at the microlevel and macrolevel, respectively. The general case is explored, which assumes that microdiversity and macrodiversity are provided through arbitrary number of channels. Because shadowing has larger correlation distance than short‐term fading, correlated macrodiversity channels are studied. This paper investigates the dynamics of the received signal. A novel rapidly converging infinite‐series expression for average level crossing rate and average fade duration are obtained. Numerical results are graphically presented to examine the impact of fading severity, shadowing severity, number of diversity branches at the microlevel, number of base stations and correlation between base stations to the system's performance. Computer simulations are also performed to verify the validity and the accuracy of proposed theoretical analysis. Copyright © 2012 John Wiley & Sons, Ltd.     

全同弱光纤光栅阵列反射信号仿真计算与分析

全同弱光栅通过时分/波分混合复用时,光栅阵列中的阴影效应、多重反射等对反射信号会产生影响。对全同弱光纤光栅阵列所作的时域反射信号仿真计算和分析表明,阴影效应和多重反射不会引起光栅中心波长漂移,但会导致光栅中心波长处的反射强度降低。若阵列中的单个光栅的反射率较高,受阴影效应的影响,光栅阵列远端的光栅将可能检测不到,不能达到增加光栅复用数量的目的;但若单个光栅的反射率太低,则又会使阵列上的光栅的被测反射信号强度降低,从而增加了信号检测难度。     

跳-扩散模型下的再装期权定价

本文建立股票价格的跳过程为Poisson过程,跳跃高度服从对数正态分布时股票价格过程的随机微分方程,在风险中性的假设下找到等价鞅测度,利用鞅方法,用较简单的数学推导得到了股票价格服从跳-扩散过程的欧式再装期权定价公式.     

A new approach for realizing the optical morphological dilation of 1－D gray images

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A Optical Scheme for Parallelly Realizing the Morphological Erosion of 1－D Gray Images

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