Escapes and Recurrence in a Simple Hamiltonian System

Many physical systems can be modeled as scattering problems. For example, the motions of stars escaping from a galaxy can be described using a potential with two or more escape routes. Each escape route is crossed by an unstable Lyapunov orbit. The region between the two Lyapunov orbits is where the particle interacts with the system. We study a simple dynamical system with escapes using a suitably selected surface of section. The surface of section is partitioned in different escape regions which are defined by the intersections of the asymptotic manifolds of the Lyapunov orbits with the surface of section. The asymptotic curves of the other unstable periodic orbits form spirals around various escape regions. These manifolds, together with the manifolds of the Lyapunov orbits, govern the transport between different parts of the phase space. We study in detail the form of the asymptotic manifolds of a central unstable periodic orbit, the form of the escape regions and the infinite spirals of the asymptotic manifolds around the escape regions. We compute the escape rate for different values of the energy. In particular, we give the percentage of orbits that escape after a finite number of iterations. In a system with escapes one cannot define a Poincaré recurrence time, because the available phase space is infinite. However, for certain domains inside the lobes of the asymptotic manifolds there is a finite minimum recurrence time. We find the minimum recurrence time as a function of the energy.This revised version was published online in October 2005 with corrections to the Cover Date.     

建筑结构抗震研究若干基本问题概述及讨论

本文介绍和讨论了结构抗震研究中的一些基本问题,包括地震反应分析选择地面运动输入应注意的问题,高层结构地震模拟试验问题和结构地震反应分析中的主要分析方法和存在的问题,最后简要介绍了目前常用结构反应分析程序。     

Flood pattern and weather determine Populus leaf litter breakdown and nitrogen dynamics on a cold desert floodplain

Patterns and processes involved in litter breakdown on desert river floodplains are not well understood. We used leafpacks containing Fremont cottonwood (Populus deltoides subsp. wislizenii) leaf litter to investigate the roles of weather and microclimate, flooding (immersion), and macroinvertebrates on litter organic matter (OM) and nitrogen (N) loss on a floodplain in a cool-temperate semi-arid environment (Yampa River, northwestern Colorado, USA). Total mass of N in fresh autumn litter fell by 20% over winter and spring, but in most cases there was no further N loss prior to termination of the study after 653 days exposure, including up to 20 days immersion during the spring flood pulse. Final OM mass was 10–40% of initial values. The pattern of OM and N losses suggested most N would be released outside the flood season, when retention within the floodplain would be likely. The exclusion of macroinvertebrates modestly reduced the rate of OM loss (by about 10%) but had no effect on N dynamics over nine months. Immersion in floodwater accelerated OM loss, but modest variation in litter quality did not affect the breakdown rate. These results are consistent with the concept that decomposition on desert floodplains progresses much as does litter processing in desert uplands, but with periodic bouts of processing typical of aquatic environments when litter is inundated by floodwaters. The strong dependence of litter breakdown rate on weather and floods means that climate change or river flow management can easily disrupt floodplain nutrient dynamics.     

不同布缆方式锚碇沉管管段运动的数值模拟

通过建立波浪作用下锚碇沉管管段运动的时域数值计算模型,对锚碇沉管的运动响应及锚碇缆受力特性进行了研究。应用集中质量法求解锚碇缆力,应用四阶Runge-Kutta法求解管段时域运动方程,计算了在不同沉深、不同周期、不同波高和不同波向条件下沉管管段的运动幅值和锚碇缆力。数值计算的结果表明:锚碇沉管的锚碇缆对沉管管段的运动起到一定的约束作用,在沉放深度较浅、波浪周期较大时,锚碇缆对沉管管段运动幅度的制约更为明显。通过五种布缆方式的计算与分析,探讨了布缆方式对沉管管段运动响应及锚碇缆受力的影响,并给出了较为合理的布缆方案。     

基于耦合模型的中国能源生产与消费预测及其环境响应(英文)

The paper presents the prediction of total energy production and consumption in all provinces and autonomous regions as well as determination of the variation of gravity center of the energy production, consumption and total discharge of industrial waste water, gas and residue of China via the energy and environmental quality data from 1978 to 2009 in China by use of GM(1,1) model and gravity center model, based on which the paper also analyzes the dynamic variation in regional difference in energy production, consumption and environmental quality and their relationship. The results are shown as follows. 1) The gravity center of energy production is gradually moving southwestward and the entire movement track approxi-mates to linear variation, indicating that the difference of energy production between the east and west, south and north is narrowing to a certain extent, with the difference between the east and the west narrowing faster than that between the south and the north. 2) The gravity center of energy consumption is moving southwestward with perceptible fluctuation, of which the gravity center position from 2000 to 2005 was relatively stable, with slight annual position variation, indicating that the growth rates of all provinces and autonomous regions are basically the same. 3) The gravity center of the total discharge of industrial waste water, gas and residue is characterized by fluctuation in longitude and latitude to a certain degree. But, it shows a southwestward trend on the whole. 4) There are common ground and discrepancy in the variation track of the gravity center of the energy production & consumption of China, and the comparative analysis of the gravity center of them and that of total discharge of industrial waste water, gas and residue shows that the environmental quality level is closely associated with the energy production and consumption (especially the energy consumption), indicating that the environment cost in economy of energy is higher in China.     

Monitoring directions and rates of change in trees outside forests through multitemporal analysis of map sequences

This study explores the potential of historical maps to detect, measure and monitor changes of trees outside forests. The main goal is to assess local-level changes of scattered trees and orchards and their land-use determinants in two areas in Southern Germany between 1901/1905 and 2009. Firstly, overall landscape changes are recorded. Secondly, the spatial-temporal trajectories of scattered trees and their land-use determinants are identified. Thirdly, changes in quantity and fragmentation patterns of traditional orchards are analyzed in their relationship to overall land-cover change. The results confirm major losses in scattered trees, mainly due to urbanization, agricultural intensification, and land abandonment. They further reveal that, while orchards have persisted in total area, they have undergone critical changes toward a simplified landscape structure and loss of the traditional land-use mosaic, which is a characterizing feature of high nature value landscapes. Multi-temporal assessment showed that most trends have been continuous and did not change directions over time, but rather accelerated during periods of rapid change (most dramatically in the 1950-1990 period). The case of orchards and scattered trees illustrates a major problem of cultural landscapes in Europe: Semi-natural landscape features of high nature value are threatened by both intensification and abandonment of land uses. This makes their conservation a potentially costly enterprise, as both opportunity costs for lost alternative land uses and for conservation management costs arise.     

基于EA-SD模型的生态农业系统模拟与优化调控——以平凉市崆峒区为例

以甘肃省平凉市崆峒区生态农业系统为例,基于农业产业链的物质、能量流动机理,运用Vensim软件建立生态农业系统动力学分析模型(EA-SD)。量化分析和模拟了生态农业发展的综合效益及其演变趋势。经模拟,按照现在的发展模式不变,系统不但存在牛粪尿污染等负效应,而且随着肉牛年屠宰量的快速上涨,未来崆峒区可能出现肉牛数量锐减,制沼产业、有机农业衰落,整个系统难以持续发展的情况。根据模拟结果,论文制定了系统优化调控政策,并模拟了优化后系统的发展情景。结果显示,优化能够消除系统缺陷和负效应,提升综合正效应,增强系统的可持续发展能力。本研究的模型及调控过程能够为类似的生态经济系统优化研究提供借鉴和参考。     

基于“一张图”的公共安全应急联动态势图的研究

公共安全应急联动态势图是应对公共安全突发事件的有效保障手段之一。文中提出基于"一张图"的观点,对基于"一张图"的公共安全应急联动态势图的体系架构进行阐述,说明基于"一张图"的公共安全应急联动态势图中,应急联动数据链节点构成和应急联动数据链的功能,介绍"一张图"的输出保障模式。     

基于MODIS资料的贵州植被叶面积指数的时空变化及其对气候的响应

利用2000～2006年MODIS(Moderate Resolution Imaging Spectroradiometer)卫星遥感观测的植被叶面积指数月平均资料以及相应时段的月平均气温、降水的观测资料对贵州植被的时空变化进行了分析.结果表明贵州2000～2006年植被分布受水热条件控制表现出对气候因子不同的响应关系,其中对降水的响应关系比气温明显,特别是冬季和春季,而植被在夏季和秋季的分布主要受气温的制约,与降水的关系并不明显.从季节和年际尺度的时间变化角度而言,植被对气温的响应比对降水明显,季节变化和年际变化的相关系数分别为0.89和0.73(分别通过99.9%和95%信度检验).