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Stochastic Periodic Solutions for Two Populations Game Models with Impulses
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作者 HOU Meiting QIU Xiaoling 《应用数学》 北大核心 2025年第2期453-467,共15页
The article studies the evolutionary dynamics of two-population two-strategy game models with and without impulses. First, the payment matrix is given and two evolutionary dynamics models are established by adding sto... The article studies the evolutionary dynamics of two-population two-strategy game models with and without impulses. First, the payment matrix is given and two evolutionary dynamics models are established by adding stochastic and impulse. For the stochastic model without impulses, the existence and uniqueness of solution, and the existence of positive periodic solutions are proved, and a sufficient condition for strategy extinction is given. For the stochastic model with impulses, the existence of positive periodic solutions is proved. Numerical results show that noise and impulses directly affect the model, but the periodicity of the model does not change. 展开更多
关键词 periodic solution Stochastic game IMPULSES Strategy extinct
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Periodic Traveling Wave Solutions of a Single Population Model with Advection and Distributed Delay
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作者 GUO Zilin YU Tao TANG Xiaosong 《应用数学》 北大核心 2025年第4期988-995,共8页
In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave so... In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave solutions for this model under the influence of advection term and distributed delay.The obtained results indicate that weak kernel and strong kernel can both deduce the existence of periodic traveling wave solutions.Finally,we apply the main results in this paper to Logistic model and Nicholson’s blowflies model. 展开更多
关键词 Single population model Advection Distributed delay periodic traveling wave solution
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An isogeometric approach for vibration characteristics analysis of functionally graded triply periodic minimal sandwich curved-doubly shell integrated with magneto-electro surface layers subjected to lowvelocity impact load
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作者 Le Hoai Pham Hoang Tu +1 位作者 Van Ke Tran Nguyen Thi Hue 《Defence Technology(防务技术)》 2025年第8期101-125,共25页
In this paper,the isogeometric analysis(IGA)method is employed to analyze the oscillation characteristics of functionally graded triply periodic minimal surface(FG-TPMS)curved-doubly shells integrated with magneto-ele... In this paper,the isogeometric analysis(IGA)method is employed to analyze the oscillation characteristics of functionally graded triply periodic minimal surface(FG-TPMS)curved-doubly shells integrated with magneto-electric surface layers(referred to as"FG-TPMS-MEE curved-doubly shells")subjected to low-velocity impact loads.This study presents low-velocity impact load model based on a single springmass(S-M)approach.The FG-TPMS-MEE curved-doubly shells are covered with two magneto-electric surface layers,while the core layer consists of three types:I-graph and Wrapped Package-graph(IWP),Gyroid(G),and Primitive(P),with various graded functions.These types are notable for their exceptional stiffness-to-weight ratios,enabling a wide range of potential applications.The Maxwell equations and electromagnetic boundary conditions are applied to compute the change in electric potentials and magnetic potentials.The equilibrium equations of the shell are derived from a refined higher-order shear deformation theory(HSDT),and the transient responses of the FG-TPMS-MEE curveddoubly shells are subsequently determined using Newmark's direct integration method.These results have applications in structural vibration control and the analysis of structures subjected to impact or explosive loads.Furthermore,this study provides a theoretical prediction of the low-velocity impact load and magneto-electric-elastic effects on the free vibration and transient response of FG-TPMS-MEE curved-doubly shells. 展开更多
关键词 IGA approach Free vibration and transient response Magneto-electro-elastic curved-doubly shell Low-velocity impact load Functionally graded triply periodic minimal
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番红砗磲生物钟基因Cryptochrome和Period克隆鉴定及光照相关性分析
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作者 杨文红 南祎晗 +4 位作者 李萌 刘春胜 杨毅 於锋 顾志峰 《渔业科学进展》 北大核心 2025年第4期153-167,共15页
生物钟是生物体适应地球周期性昼夜变化而演化出体内自持的计时机制,Cryptochrome和Period是生物钟的2个核心基因,其通过形成PER/CRY异二聚体调控生物体节律。本研究应用分子生物学和生物信息学技术对番红砗磲(Tridacna crocea)生物钟基... 生物钟是生物体适应地球周期性昼夜变化而演化出体内自持的计时机制,Cryptochrome和Period是生物钟的2个核心基因,其通过形成PER/CRY异二聚体调控生物体节律。本研究应用分子生物学和生物信息学技术对番红砗磲(Tridacna crocea)生物钟基因Cryptochrome和Period的编码区进行了克隆和特征分析,继而开展了其组织特异性和不同光照周期下的表达节律性研究。结果显示,Cryptochrome编码区碱基序列长1641 bp,编码546个氨基酸,理论等电点为6.08,分子量为62.98 kDa;Period编码区碱基序列长4386 bp,编码1461个氨基酸,理论等电点为6.14,分子量为164.99 kDa;Hdock互作模式研究结果显示,2个蛋白可形成异二聚体,结合能为–279.88 kcal/mol。组织表达分析显示,Cryptochrome和Period在7个组织中均有表达,其中,外外套膜、内外套膜、鳃和闭壳肌相对表达量较高(Cryptochrome在心脏中亦有较高表达量)。Cryptochrome和Period基因在外外套膜、内外套膜、鳃和闭壳肌中均昼夜变化,并呈现振荡表达的规律。在内、外外套膜中,Cryptochrome和Period基因分别在光照后1 h和光照前2 h表达量达到最高,且均随光照周期的推移(光照时间07:00~19:00推迟至09:00~21:00)而推移;在鳃组织中,正常光周期处理的Cryptochrome和Period基因均在光照前1 h表达量达到最高,当光照延迟2 h后,2个基因的最高表达时间推至光照后1 h;与之相反,闭壳肌中Cryptochrome和Period基因在08:00左右表达量最高,且未随光照延迟而发生变化。综上,本研究首次克隆获得番红砗磲2个关键生物钟基因Cryptochrome和Period,初步验证了这2个基因在主要组织表达的昼夜节律性,结果对揭示番红砗磲行为、生理节律和光照适应机制具有重要意义。 展开更多
关键词 番红砗磲 Cryptochrome和period 昼夜节律 表达规律
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Prediction Method of Polar Navigation Window Period Based on Risk Evaluation
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作者 JIANG Jia−qi SHI Gui−jie WANG De−yu 《船舶力学》 北大核心 2025年第6期986-999,共14页
With the increase of international trade activities and the gradual melting of the polar ice cap,the importance of the Arctic route for marine transportation has been emphasized.Prediction of the polar navigation wind... With the increase of international trade activities and the gradual melting of the polar ice cap,the importance of the Arctic route for marine transportation has been emphasized.Prediction of the polar navigation window period is crucial for navigating in the Arctic route,which is of great significance to the selection of the route and the optimization of navigation.This paper introduces the establishment of a risk index system,determination of risk index weight,establishment of a risk evaluation model,and prediction algorithm for the window period.In addition,data sources of both environmental factors and ship factors are introducted,and their shortcomings are analyzed,followed by introduction of various methods involved in window prediction and analysis of their advantages and disadvantages.The quantitative risk evaluation and window period algorithm can provide a reference for the research of polar navigation window period prediction. 展开更多
关键词 window period risk evaluation polar navigation risk index
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ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR SYSTEM WITH MULTIPLE DELAYS 被引量:6
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作者 曹显兵 《应用数学和力学》 CSCD 北大核心 2003年第1期105-110,共6页
The existence of T_periodic solutions of the nonlinear system with multiple delays is studied. By using the topological degree method, sufficient conditions are obtained for the existence of T_periodic solutions. As a... The existence of T_periodic solutions of the nonlinear system with multiple delays is studied. By using the topological degree method, sufficient conditions are obtained for the existence of T_periodic solutions. As an application, the existence of positive periodic solution for a logarithmic population model is established under some conditions. 展开更多
关键词 多滞量 周期解 拓扑度 周期扰动非线性系统 单种群对数模型
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利用Periodic Fourier法研究橡胶混凝土隔振基础对轨道振动的影响 被引量:1
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作者 金浩 刘维宁 +1 位作者 周顺华 孙晓静 《噪声与振动控制》 CSCD 2015年第3期144-148,共5页
地下铁道轨道减振措施研究是一个受到持续关注的问题,本文创新性地引入橡胶混凝土隔振基础这一概念。并利用Peiodic-Fourier方法,探讨了橡胶混凝土隔振基础物理参数对钢轨振动位移的影响。研究结果表明:(1)高频激励荷载引起的钢轨位移... 地下铁道轨道减振措施研究是一个受到持续关注的问题,本文创新性地引入橡胶混凝土隔振基础这一概念。并利用Peiodic-Fourier方法,探讨了橡胶混凝土隔振基础物理参数对钢轨振动位移的影响。研究结果表明:(1)高频激励荷载引起的钢轨位移比低频激励荷载引起的钢轨位移小;(2)橡胶混凝土隔振基础刚度越大,相应的共振频率越大,但引起的钢轨振动位移越小;(3)橡胶混凝土隔振基础阻尼越大,相应的共振频率越小,且引起的钢轨振动位移也越小。 展开更多
关键词 振动与波 橡胶混凝土 地下铁道 减振 periodic-Fourier方法 钢轨位移
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“Time Delays and Stimulus-Dependent Pattern Formation in Periodic Environments in Isolated Neurons”的注记
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作者 罗毅平 邓飞其 杨逢建 《华南理工大学学报(自然科学版)》 EI CAS CSCD 北大核心 2005年第8期45-48,61,共5页
指出了题目所给文献中的一个证明的错误,并利用Mawhin重合度理论中的连续性引理、Cauchy不等式等知识得出了所给文献中模型周期解的存在性的充分条件,这个条件与已有结果相比具有较少保守性.文中还利用Dini导数证明了该模型的周期解是... 指出了题目所给文献中的一个证明的错误,并利用Mawhin重合度理论中的连续性引理、Cauchy不等式等知识得出了所给文献中模型周期解的存在性的充分条件,这个条件与已有结果相比具有较少保守性.文中还利用Dini导数证明了该模型的周期解是唯一的,且是全局吸引的.最后举例说明了所得结果的有效性. 展开更多
关键词 神经网络 周期解 连续分布时滞 全局吸引
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MULTI-PERIODIC COLLISIONAL PROCESS BETWEEN INDIAN AND ASIAN CONTINENTS:A CASE OF EASTERN HIMALAYAN SYNTAXIS AND HENGDUAN MOUNTAINS 被引量:6
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作者 Zhong Dalai 1, Ding Lin 1, Zhang Jinjiang 1, Ji Jianqing 2(1 Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China 2 Department of Geology, Peking University, Beijing 100871, China) 《地学前缘》 EI CAS CSCD 2000年第S1期47-48,共2页
Our study area covered the Eastern Himalayan Syntaxis (EHS) and its southern extension (Hengduan Mountain or western Sichuan and Yunnan (WSY)) which is located at the orthogonal and oblique collisional front between I... Our study area covered the Eastern Himalayan Syntaxis (EHS) and its southern extension (Hengduan Mountain or western Sichuan and Yunnan (WSY)) which is located at the orthogonal and oblique collisional front between Indian and Asian continents during Cenozoic.Based on geometric and kinematic mapping of the major boundary or regional faults (Dongjug—Mainling(1), Anigiao(2) and Jali(3), Guyu(4) faults in EHS, Ailaoshan—Red River(5), Lancangjiang(6), Gaoligong(7), Binlangjiang(8) and Magok(9) faults in WSY) (see Fig.1), especially on abundant geochronological dating of the mylonitic rocks along these faults, and coupled with magmato\|metamorphic sequences of this region, we try to deal with the temporal and spatial relationships of collisional process to answer questions such as: (1) when did collision start ? (2) is thrusting as a initial and dominant deformation mode to absorb the crustal shortening after suturing, or earlier thrusting usually followed by large\|scale strike\|slip faults? (3) are the two structural patterns coeval at times, or do they occur alternatively during deformation history? (4) are the collisional and associate uplift processes a continuous one or periodic? Insight into such questions is crucial for better understanding of the continental deformation and testing the models available or constraining a new one. 展开更多
关键词 COLLISIONAL PROCESS multi\|period TECTONIC events Eastern HIMALAYA
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Periodic performance of the chaotic spread spectrum sequence on finite precision 被引量:3
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作者 Zhu Canyan Zhang Lihua +2 位作者 Wang Yiming Liu Jiasheng Mao Lingfeng 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第4期672-678,共7页
It is well known that the periodic performance of spread spectrum sequence heavily affects the correlative and secure characteristics of communication systems. The chaotic binary sequence is paid more and more attenti... It is well known that the periodic performance of spread spectrum sequence heavily affects the correlative and secure characteristics of communication systems. The chaotic binary sequence is paid more and more attention since it is one kind of applicable spread spectrum sequences. However, there are unavoidable short cyclic problems for chaotic binary sequences in finite precision. The chaotic binary sequence generating methods are studied first. Then the short cyclic behavior of the chaotic sequences is analyzed in detail, which are generated by quantification approaches with finite word-length. At the same time, a chaotic similar function is defined for presenting the cyclic characteristics of the sequences. Based on these efforts, an improved method with scrambling control for generating chaotic binary sequences is proposed. To quantitatively describe the improvement of periodic performance of the sequences, an orthogonal estimator is also defined. Some simulating results are provided. From the theoretical deduction and the experimental results, it is concluded that the proposed method can effectively increase the period and raise the complexity of the chaotic sequences to some extent. 展开更多
关键词 chaotic binary sequence finite precision periodic performance orthogonal estimator
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关于Ona Class of Semilinear Periodical Boundary Value Problems一文的注记
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作者 王文 《应用数学》 CSCD 北大核心 2006年第4期842-846,共5页
本文指出文[1]中的一个失误,给出了一类半线性方程周期边值问题a(t)x″+b(t)x′+g(t,x)=e(t),x(0)-x(2π)=x′(0)-x′(2π)=0一个新的等价方程组,应用整体反函数定理得到文[1]的所有结论.
关键词 周期解 半线性方程 存在唯一性 整体反函数定理
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Theoretical analysis of the surface temperature regulation of an infrared false target subjected to periodical ambient conditions 被引量:2
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作者 Shi-min LI Hong YE Qi-zhao LIN 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2016年第5期360-366,共7页
Infrared false target is an important mean to induce the infrared-guided weapons,and the key issue is how to keep the surface temperature of the infrared false target to be the same as that of the object to be protect... Infrared false target is an important mean to induce the infrared-guided weapons,and the key issue is how to keep the surface temperature of the infrared false target to be the same as that of the object to be protected.One-dimensional heat transfer models of a metal plate and imitative material were established to explore the influences of the thermophysical properties of imitative material on the surface temperature difference(STD) between the metal plate and imitative material which were subjected to periodical ambient conditions.It is elucidated that the STD is determined by the imitative material’s dimensionless thickness(dim*,) and the thermal inertia(Pim).When dim* is above 1.0,the STD is invariable as long as Pim is a constant.And if the dimensionless thickness of metal plate(d,m*) is also larger than 1.0,the STD approaches to zero as long as Pimis the same as the thermal inertia of metal plate(Pm).When dim* is between 0.08 and 1,the STD varies irregularly with Pim and dim*.However,if dm* is also in the range of 0.08-1,the STD approaches to zero on condition that Pim=Pm and dim*= dm*.If dim*,is below 0.08,the STD is unchanged when Pimdim* is a constant.And if dm* is also less than 0.08,the STD approaches to zero as long as Pimdim* = Pmdm*.Furthermore,an applicationoriented discussion indicates that the imitative material can be both light and thin via the application of the phase change material with a preset STD because of its high specific heat capacity during the phase transition process. 展开更多
关键词 Infrared false target Surface temperature periodical ambient conditions Thermal inertia Dimensionless thickness
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A review of periodic orbits in the circular restricted three-body problem 被引量:4
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作者 ZHANG Renyong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2022年第3期612-646,共35页
This review article aims to give a comprehensive review of periodic orbits in the circular restricted three-body problem(CRTBP),which is a standard ideal model for the Earth-Moon system and is closest to the practical... This review article aims to give a comprehensive review of periodic orbits in the circular restricted three-body problem(CRTBP),which is a standard ideal model for the Earth-Moon system and is closest to the practical mechanical model.It focuses the attention on periodic orbits in the Earth-Moon system.This work is primarily motivated by a series of missions and plans that take advantages of the three-body periodic orbits near the libration points or around two gravitational celestial bodies.Firstly,simple periodic orbits and their classification that is usually considered to be early work before 1970 are summarized,and periodic orbits around Lagrange points,either planar or three-dimensional,are intensively studied during past decades.Subsequently,stability index of a periodic orbit and bifurcation analysis are presented,which demonstrate a guideline to find more periodic orbits inspired by bifurcation signals.Then,the practical techniques for computing a wide range of periodic orbits and associated quasi-periodic orbits,as well as constructing database of periodic orbits by numerical searching techniques are also presented.For those unstable periodic orbits,the station keeping maneuvers are reviewed.Finally,the applications of periodic orbits are presented,including those in practical missions,under consideration,and still in conceptual design stage.This review article has the function of bridging between engineers and researchers,so as to make it more convenient and faster for engineers to understand the complex restricted three-body problem(RTBP).At the same time,it can also provide some technical thinking for general researchers. 展开更多
关键词 periodic orbit restricted three-body problem classi-fication orbit family BIFURCATION
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Wave propagation control in periodic track structure through local resonance mechanism 被引量:10
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作者 WANG Ping YI Qiang +2 位作者 ZHAO Cai-you XING Meng-ting LU J 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第12期3062-3074,共13页
Excessive vibration and noise radiation of the track structure can be caused by the operation of high speed trains.Though the track structure is characterized by obvious periodic properties and band gaps,the bandwidth... Excessive vibration and noise radiation of the track structure can be caused by the operation of high speed trains.Though the track structure is characterized by obvious periodic properties and band gaps,the bandwidth is narrow and the elastic wave attenuation capability within the band gap is weak.In order to effectively control the vibration and noise of track structure,the local resonance mechanism is introduced to broaden the band gap and realize wave propagation control.The locally resonant units are attached periodically on the rail,forming a new locally resonant phononic crystal structure.Then the tuning of the elastic wave band gaps of track structure is discussed,and the formation mechanism of the band gap is explicated.The research results show that a new wide and adjustable locally resonant band gap is formed after the resonant units are introduced.The phenomenon of coupling and transition can be observed between the new locally resonant band gap and the original band gap of the periodic track structure with the band gap width reaching the maximum at the coupling position.The broader band gap can be applied for vibration and noise reduction in high speed railway track structure. 展开更多
关键词 wave propagation control periodic track structure band gap local resonance mechanism transfer matrix
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Attenuation of wave propagation in a novel periodic structure 被引量:2
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作者 郑玲 李以农 A.BAZ 《Journal of Central South University》 SCIE EI CAS 2011年第2期438-443,共6页
A novel periodic mount was presented. A theoretical model was developed to describe the dynamics of wave propagation in the novel periodic mount. The model was derived using Hamilton's energy conservation principl... A novel periodic mount was presented. A theoretical model was developed to describe the dynamics of wave propagation in the novel periodic mount. The model was derived using Hamilton's energy conservation principle. The characteristics of wave propagation in unit cell were analyzed by transfer matrix formulation. Numerical examples were given to illustrate the effectiveness of the periodic mount. The experiments were carried out to identify the predications of the theoretical model. The obtained results show that the experimental results coincide with the prediction of theoretical model. No pass bands appear in the overall frequency range measured when waves propagate in the longitude direction of the periodic mount. These dramatic results demonstrate its potential as an excellent mount in attenuating and isolating vibration transmission. 展开更多
关键词 periodic structure vibration isolation passive mount
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Periodic electromagnetic signals as potential precursor for seismic activity 被引量:1
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作者 YONG Shan-shan WANG Xin-an +4 位作者 ZHANG Xing GUO Qin-meng WANG Jing YANG Chao JIANG Bing-hui 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第8期2463-2471,共9页
Electromagnetic signals may be a promising precursor to seismic activity which has been observed in many case studies in past decades.However,the correlation and causation between the electromagnetic signals and the s... Electromagnetic signals may be a promising precursor to seismic activity which has been observed in many case studies in past decades.However,the correlation and causation between the electromagnetic signals and the seismic activity are still unclear without intensive observation network.In order to find seismoelectromagnetic phenomenon,we deployed AETA(acoustic and electromagnetic testing all-in-one system),a high-density multi-component seismic monitoring system in the China Earthquake Science Experiment site(CESE,in Sichuan Province and Yunnan Province,China)and the capital circle(areas with a distance which is≤200 km from Beijing),to record electromagnetic and geo-acoustic data across 0.1 Hz−10 kHz.In the course of data collection,we discovered an electromagnetic waveform that occurs on a daily basis.Because the signal generally coincides with sunrise and sunset,we named this phenomenon the SRSS(Sunrise-Sunset)waveform.After conducting three statistical tests based on seismicity and SRSS,we determined that the SRSS waveform is roughly correlated with the onset of seismic activity.It generally occurs at the regions where seismicity occurs.This discovery might have significant implications with respect to the future of earthquake prediction. 展开更多
关键词 seismic precursor periodic electromagnetic signal Sunrise-Sunset(SRSS)waveform
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The Construction of Natural Disaster Database of Alxa and Periodicity Analysis
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作者 Yan Zheng,Mingzhong Tian,Siwen Liu,Chao Ma School of the Earth Sciences and Resources,China University of Geosciences(Beijing),Beijing 100083,China. 《地学前缘》 EI CAS CSCD 北大核心 2009年第S1期300-301,共2页
A compilation of all meaningful historical data of natural-disasters taken place in Alxa of inner-Mongolia is used here for the construction of a 65 Ma high precision database.The data in the database are divided into... A compilation of all meaningful historical data of natural-disasters taken place in Alxa of inner-Mongolia is used here for the construction of a 65 Ma high precision database.The data in the database are divided into subsets according to the types 展开更多
关键词 Alxa NATURAL DISASTER DATABASES periodicITY
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Observations of TEC Depletion,Periodic Structure of TEC,ROTI and Scintillation Associated with ESF Irregularities over South China 被引量:1
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作者 DENG Kun MA Yonghui +2 位作者 LIU Minbo GUO Zhixiong WANG Shu 《空间科学学报》 CAS CSCD 北大核心 2020年第3期331-340,共10页
The observations of Global Positioning System(GPS) scintillation,Total Electron Content(TEC)depletion,the periodic structure of TEC and Rate of TEC Index(ROTI) over south China were presented.Data were collected from ... The observations of Global Positioning System(GPS) scintillation,Total Electron Content(TEC)depletion,the periodic structure of TEC and Rate of TEC Index(ROTI) over south China were presented.Data were collected from GPS observations at stations of Shenzhen and Guangzhou from 2011 to 2012.This study reported that the ratio of simultaneous occurrences of TEC depletions with strong scintillations was higher than that of TEC depletions with weak scintillations in vernal and autumnal equinoxes of 2011 over South China.The number of the periodic structures of TEC with depletion contained was greater than that with no depletion contained corresponding to strong scintillations.The structure of the slab of plasma irregularities could be responsible for the simultaneous occurrences of TEC depletion with strong scintillations and ROTI.Before and during the occurrences of strong scintillation,there was Large-Scale Wave Structure(LSWS) which provided the seed ionization perturbation to trigger ESF irregularities and contributed to the periodic structure of TEC. 展开更多
关键词 GPS scintillation Total Electron Content(TEC) TEC depletion periodic structure of TEC Rate of TEC Index(ROTI)
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Construction of Periodic Orbits and Chaos
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作者 Zhang Yongdong Postdoctoral R&D Base,GF Securities Co., Ltd., Guangzhou 510075, P.R.China Liu Shutang & Liu Yongqing Department of Automatic Control Engineering, South China University of Technology, Guangzhou 510640, P.R.China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2002年第1期34-41,共8页
In contrast to the main stream of studying the chaotic behavior of a given map, constructing chaotic map has attracted much less attention. In this paper, we propose simple analytical method for constructing one dime... In contrast to the main stream of studying the chaotic behavior of a given map, constructing chaotic map has attracted much less attention. In this paper, we propose simple analytical method for constructing one dimensional continuous maps with certain specific periodic points.Further, we obtain results for the existence of chaotic phenomenon in the sense of Li and Yorke. Some examples are also analyzed using the proposed methods. 展开更多
关键词 CHAOS Chaotic map periodic orbits.
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Periodic Variations of Drag Coefficient for the ANDE Spherical Satellites During its Lifetime
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作者 QI Yalong LI Huijun +1 位作者 XIANG Jie MAN Haijun 《空间科学学报》 CAS CSCD 北大核心 2013年第5期525-531,共7页
A drag coefficient(C_d) inversion method is introduced to study the variations of the drag coefficient for orbital satellites with spherical geometry.Drag coefficients of the four micro satellites in the Atmospheric N... A drag coefficient(C_d) inversion method is introduced to study the variations of the drag coefficient for orbital satellites with spherical geometry.Drag coefficients of the four micro satellites in the Atmospheric Neutral Density Experiment(ANDE) are compiled out with this new method. The Lomb-Scargle Periodgram(LSP) analysis of the four ANDE satellites' C__d series has shown that there are obvious 5,7,9,and 27 days' period in those data.Interesting results are found through comparing the LSP analysis with series of the daily solar radio flux at 10.7cm(F_(10.7) index),the Ap index,and the daily averaged solar wind speed at 1AU.All series in the same time interval have an obvious period of about 27 days,which has already been explained as the association with the 27 days' solar rotation.The oscillating periods less than 27 days are found in series of C_D,Ap and solar wind speed at 1 AU,e.g.,the 5,7,9 days period.However,these short periods disappeared in the time series of F_(10.7) index.The same periodicities of 5,7,9 days in Ap and solar wind are presented at the same time interval during the declining phase of solar cycle 23.While in the ascending phase of solar cycle 24,these short oscillations are not so obvious as that in the declining phase of solar cycle 23.These results provide definite evidence that the C_d variations with period of 5,7 and 9 days are produced by a combination of space weather effects caused by the solar wind and geomagnetic activity. 展开更多
关键词 Drag coefficient periodicITY Geomagnetic activity Solar wind speed
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