The existence of a Smale horseshoe in a planar circular restricted four-body problem

In this paper we study the existence of a Smale horseshoe in a planar circular restricted four-body problem. For this planar four-body system there exists a transversal homoclinic orbit, but the fixed point is a degenerate saddle, so that the standard Smale–Birkhoff homoclinic theorem cannot be directly applied. We therefore apply the Conley–Moser conditions to prove the existence of a Smale horseshoe. Specifically, we first use the transversal structure of stable and unstable manifolds to make a linear transformation and then introduce a nonlinear Poincaré map $P$ by considering the truncated flow near the degenerate saddle; based on this Poincaré map $P$ , we define an invertible map $f$ , which is a composite function; by carefully checking the satisfiability of the Conley–Moser conditions for $f$ we finally prove that $f$ is a Smale horseshoe map, which implies that our restricted four-body problem has the chaotic dynamics of the Smale horseshoe type.     

Using data-limited approaches to assess data-rich Indian Ocean bigeye tuna: Data quantity evaluation and critical information for management implications

The majority of fishery stocks in the world are data limited, which limits formal stock assessments. Identifying the impacts of input data on stock assessment is critical for improving stock assessment and developing precautionary management strategies. We compare catch advice obtained from applications of various datalimited methods(DLMs) with forecasted catch advice from existing data-rich stock assessment models for the Indian Ocean bigeye tuna(Thunnus obesus). Our goal was to evaluate the co...     

Paleozoic Tectonic Switch in the North Qinling Orogenic Belt: Constraints from the Paleozoic Granites from the Northern Qinling Migmatite Terrane

The variations in source rocks and melting conditions of granites can provide essential clues for the crustal magmatic response in orogenic process. Based on geochronology, whole-rock and mineral chemistry, this paper reveals two different granites in the Northern Qinling migmatite complex, which reveal obvious differences in source region and melting condition. The older granodiorite (402 ± 0.8 Ma) displays typical Na-rich adakite affinity, i.e., high Na2O/K2O (2.04 to 2.64) and Sr/Y (96 to 117) ratios, they have relative evolved isotopic compositions (εNd(t) = ?0.52 to ?0.04; zircon εHf(t) = ?0.06 to +7.78). The younger leucogranite (371 ± 2 Ma) displays higher SiO2 (72.32 to 73.45 wt%), lower (TFeO + MgO + CaO + TiO2) contents (<2 wt%) and depleted Sr-Nd-Hf isotopic compositions (i.e., εNd(t) = +2.6 to +3.0; zircon εHf(t) = +5.94 to +14.12), as well as high 10000 × Ga/Al and TFeO/MgO ratios, indicating that they represent highly fractionated I-type granites that derived from melting of juvenile crust. The variations in source rocks and melting condition of the two granites indicating a tectonic switch from compression to extension in 400 to 370 Ma, this switch is later than that in the eastern section of the North Qinling, indicating a scissor collision process between the South Qinling and North China Craton (NCC) in Devonian era.     

基于GIS和模型库的土地整治三维规划设计

为探索在现有技术条件下实现土地整治三维规划设计,提高规划设计质量和效率,本研究结合无人机航测遥感技术、GIS以及三维模型库等相关技术,构建一套实用的土地整治三维规划设计技术方案。以湖北省红安县高桥镇高标准基本农田土地整治项目为例,利用无人机航测并处理得到的基础数据,构建研究区现状三维景观,在GIS中利用空间分析进行辅助规划设计,运用模型库的方法构建土地整治单体模型,并完成规划三维景观构建,将土地整治规划设计由二维转向三维,促进土地整治事业的发展。     

北秦岭早古生代宽坪岩体两期花岗质岩浆锆石U-Pb年代学、地球化学及其地质意义

宽坪岩体位于北秦岭造山带东部,岩体主要由片麻状黑云母二长花岗岩和似斑状黑云母二长花岗岩组成。锆石LA-ICP MS U-Pb定年结果表明宽坪岩体可划分为两期:早期为片麻状黑云母二长花岗岩,其锆石U-Pb年龄为448.3±4.5 Ma,该期花岗岩富硅、富碱,属准铝质和高钾钙碱性系列,形成压力较低;晚期为似斑状黑云母二长花岗岩,其锆石U-Pb年龄为421.4±2.5 Ma,该期花岗岩属强过铝质和高钾钙碱性—钙碱性系列。系统的地球化学研究表明,早期的片麻状二长花岗起源于中上地壳(贫斜长石的源区)在H2O饱和条件下发生部分熔融形成的贫Al2O3、富Si O2花岗质岩浆;晚期的似斑状二长花岗岩代表较高温的中—下地壳(杂砂岩或是花岗质片麻岩)发生部分脱水熔融形成的岩浆,这表明北秦岭地区从450~420 Ma经历了从早期的同碰撞阶段到后期的后碰撞阶段。     

中国天然气资源安全态势分析

通过文献梳理建立中国天然气资源安全评价指标体系,运用聚类分析和灰色关联分析优化了已构建的评价指标体系。在此基础上采用熵值法衡量出中国天然气安全指数,通过设立高、基准和低3种情景方案,运用PSO-SVM模型对2020年中国天然气安全态势进行了分析。结果表明:(1)在评价期内,中国天然气处于不安全程度,天然气安全指数呈现先波动下降再缓慢上升的趋势;(2)不同的天然气利用政策及与之配套的能源政策能够显著影响中国天然气安全发展。建议中国政府加强对天然气等能源政策的干预力度,以便更好地发挥上述政策和措施在提高天然气能源利用效率、改善能源结构和保证国民经济平稳运行方面的积极作用。     

U–Pb Ages for Zircon Grains from Nsanaragati Alluvial Gem Placers: Its Correlation to the Source Rocks

The Mamfe Basin is located in the SW of Cameroon and is an extension of the much bigger Benue Trough in the SE of Nigeria. Along the Asenem River and its tributaries in the western part of the Mamfe Basin (close to the border with Nigeria) gem placers yielding big zircon grains were found in recent river sediments close to Nsanaragati. In order to determine the source area and to establish a possible correlation between the zircons found in the Nsanaragati placers and rocks surrounding the Mamfe Basin 56 detrital zircon grains were analysed regarding their U–Pb ages and selected trace element contents by LA‐ICP–MS techniques. Possible source areas are rocks from the Benue Trough in the West and from the Cameroon Volcanic Line (CVL) in the SE of the study area. Based on microscopic analyses it was possible to distinguish two groups of zircons: reddish and non‐reddish ones, where the latter group comprises color variations from brown to orange, yellow to even colorless. In general, the detrital zircons show high hafnium values (4576 to 12565 ppm) and very variable thorium (7.8 to 1565 ppm) and uranium values (13.4 to 687 ppm). The Th/U ratios vary from 0.4 to 2.3, allowing correlations for some zircon grains to kimberlitic, granitic or syenitic affinities. It was also possible to distinguish zircon grains crystallised in mafic mantle‐derived melts from those crystallised in felsic melts, e.g. from continental rift‐related magmatic systems. In general, the U–Pb zircon ages obtained range from 11.7 to 1949 Ma. All zircons of the reddish group yielded almost similar ages resulting in a Concordia age of 12.4 Ma (Serravallian), an age unknown from the Mamfe Basin so far. The group of non‐reddish zircons showed various ages ranging from Serravallian to Orosirian. It was possible to correlate the youngest ages with rocks known from intrusions along the CVL, dated with K/Ar or Ar/Ar methods. The most probable sources were Mount Bamenda and Mount Bambouto in the east of the Mamfe Basin. Cretaceous ages are interpreted as re‐recycled clastic sediments whose original source had been rocks in the south and the north of the Benue Trough and who had been eroded and deposited within the catchment area of the Asenem river system in the Mamfe Basin in post‐Cretaceous times. The oldest ages are assumed to represent the pan‐African and pre‐pan‐African basement of the Mamfe basin.     

Variations and statistical probability characteristic analysis of extreme precipitation events under climate change in Haihe River Basin,China

The magnitude and frequency of regional extreme precipitation events may have variability under climate change. This study investigates the time–space variability and statistical probability characteristics of extreme precipitation under climate change in the Haihe River Basin. Hydrological alteration diagnosis methods are implemented to detect the occurrence time, style and degree of alteration such as trend and jump in the extreme precipitation series, and stationarity and serial independence are tested prior to frequency analysis. Then, the historical extreme precipitation frequency and spatio‐temporal variations analyses are conducted via generalized extreme value and generalized Pareto distributions. Furthermore, the occurrence frequency of extreme precipitation events in future is analysed on the basis of the Fourth Assessment Report of the Intergovermental Panel on Climate Change multi‐mode climate models under different greenhouse gases emission scenarios (SRES‐A2, A1B and B1). Results indicate that (1) in the past, alteration of extreme precipitation mainly occurred in the area north of 38°N. Decreasing trends of extreme precipitation are detected at most stations, whereas jump alteration is not obvious at most stations. (2) Spatial variation of estimated extreme precipitation under different return periods shows similarity. Bounded by the Taihang Mountain–Yan Mountain, extreme rainfall in the Haihe River Basin gradually reduces from the southeast to the northwest, which is consistent with the geographical features of the Haihe River Basin. (3) In the future, extreme precipitation with return period 5–20 years accounts for a significant portion of the total occurrence times. The frequency of extreme precipitation events has an increase trend under A1B and A2 scenarios. The total occurrence times of extreme precipitation under A1B senario are not more than that under B1 senario until the 2030s. Copyright © 2012 John Wiley & Sons, Ltd.     

塔里木河中游近200年的温度序列和变化

本文利用塔里木河中游的胡杨年表,重建了该区沙雅气象站近200年胡杨生长季的温度序列,分析表明,它可作为塔里木河中游近百年冷暖变化的参考依据。