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Geomorphometric Features of the Alluvial Fans around the Chaka-Qinghai Lake in the Northeastern Tibetan Plateau 被引量:3
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作者 Huiping Zhang Yuanyuan Lü 《Journal of Earth Science》 SCIE CAS CSCD 2014年第1期109-116,共8页
This article aims to study the geomorpometric features of alluvial fans since they act as a small-scale geomorphic unit response to tectonics and climate changes around the Chaka-Qinghai Lake area in the northeastern ... This article aims to study the geomorpometric features of alluvial fans since they act as a small-scale geomorphic unit response to tectonics and climate changes around the Chaka-Qinghai Lake area in the northeastern Tibetan Plateau. We quantitatively extracted geomorphic parameters, such as the surface area and slope of alluvial fans adjacent to the Qinghai Nan Shan and Ela Shan. Alluvial fans in the Chaka Lake partition area, south of the Qinghai Nan Shan, are featured by a small area and short length, but the largest slope. Geomorphic parameters of the alluvial fans in Ela Shan area are in- termediate in size, and the alluvial fans in the Qinghai Lake partition area north of Qinghai Nan Shan have the gentlest slope. Together with the regional faulting activity analysis, we suggest that the alluvial fans with the high slopes in the south of Qinghai Nan Shan are mainly controlled by the reverse faulting along the Qinghai Nan Shan faults, and the strike-slip movement of the Eia Shan fault zone plays a weak role. In contrast, due to the lack of active faults, the alluvial fans near the Qinghai Lake area north of the Qinghai Nan Shan only respond to regional erosion, transportation, and deposition proc- esses, thereby forming relatively gentle geomorphic units. 展开更多
关键词 northeastern Tibetan Plateau Chaka-Qinghai Lake alluvial fan geomorphometric fea- ture geomorphic process.
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Chirality-induced spin selectivity of graphene chiral superstructures and their true/false chirality of electron motion
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作者 Xueying Qin Yi Sun +6 位作者 Yamei Guo Xiaopeng Li Ji Liu Zhuwei Zhang Xiangyun Ma Qifeng Li Yongtao Shen 《Nano Research》 2025年第10期5-9,共5页
“Chiral-induced spin selectivity(CISS)”and its device applications are predominantly at the experimental stage,with mechanisms not fully understood.There is a need for new chiral materials with simple structures and... “Chiral-induced spin selectivity(CISS)”and its device applications are predominantly at the experimental stage,with mechanisms not fully understood.There is a need for new chiral materials with simple structures and high room-temperature electron spin polarization rates,crucial for theoretical studies and low-power spin optoelectronic devices.This study examines the CISS effect in carbon nanotubes,graphene chiral rolls,and graphene chiral stacks.While all three exhibit chirality,only the one-side follow curved surface of the graphene rolls demonstrates the CISS effect.Using true and false chirality analysis from Professor Barron,we found that only the charge motion(current)on the chiral surface is true chiral,leading to spin polarization.Thus,the CISS phenomenon occurs when charge motion on the chiral surface is chiral.Both chiral surface structures and chiral charge motion are necessary for electron spin polarization.Further theoretical validation of these conditions will enhance CISS theory. 展开更多
关键词 GRAPHENE chiral superstructure chiral-induced spin selectivity ture/false chirality
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Fatigue features study on the crankshaft material of 42CrMo steel using acoustic emission 被引量:4
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作者 Yue SHI Lihong DONG +2 位作者 Haidou WANG Guolu LI Shenshui LIU 《Frontiers of Mechanical Engineering》 SCIE CSCD 2016年第3期233-241,共9页
Crankshaft is regarded as an important component of engines, and it is an important application of remanufacturing because of its high added value. However, the fatigue failure research of remanufactured crankshaft is... Crankshaft is regarded as an important component of engines, and it is an important application of remanufacturing because of its high added value. However, the fatigue failure research of remanufactured crankshaft is still in its primary stage. Thus, monitoring and investigating the fatigue failure of the remanufacturing crankshaft is crucial. In this paper, acoustic emission (AE) technology and machine vision are used to monitor the four-point bending fatigue of 42CrMo, which is the material of crankshaft. The specimens are divided into two categories, namely, pre-existing crack and non-pre- existing crack, which simulate the crankshaft and crank- shaft blank, respectively. The analysis methods of para- meter-based AE techniques, wavelet transform (WT) and SEM analysis are combined to identify the stage of fatigue failure. The stage of fatigue failure is the basis of using AE technology in the field of remanufacturing crankshafts. The experiment results show that the fatigue crack propagation style is a transgranular fracture and the fracture is a brittle fracture. The difference mainly depends on the form of crack initiation. Various AE signals are detected by parameter analysis method. Wavelet threshold denoising and WT are combined to extract the spectral features of AE signals at different fatigue failure stages. 展开更多
关键词 acoustic emission fatigue failure remanufac- turing crankshaft wavelet analysis
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A Prediction Framework for Turning Period Structures in COVID-19 Epidemic and Its Application to Practical Emergency Risk Management
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作者 Lan DI Yudi GU +1 位作者 Guoqi QIAN George Xianzhi YUAN 《Journal of Systems Science and Information》 CSCD 2022年第4期309-337,共29页
The aim of this paper is first to establish a general prediction framework for turning(period)term structures in COVID-19 epidemic related to the implementation of emergency risk management in the practice,which allow... The aim of this paper is first to establish a general prediction framework for turning(period)term structures in COVID-19 epidemic related to the implementation of emergency risk management in the practice,which allows us to conduct the reliable estimation for the peak period based on the new concept of“Turning Period”(instead of the traditional one with the focus on“Turning Point”)for infectious disease spreading such as the COVID-19 epidemic appeared early in year 2020.By a fact that emergency risk management is necessarily to implement emergency plans quickly,the identification of the Turning Period is a key element to emergency planning as it needs to provide a time line for effective actions and solutions to combat a pandemic by reducing as much unexpected risk as soon as possible.As applications,the paper also discusses how this“Turning Term(Period)Structure”is used to predict the peak phase for COVID-19 epidemic in Wuhan from January/2020 to early March/2020.Our study shows that the predication framework established in this paper is capable to provide the trajectory of COVID-19 cases dynamics for a few weeks starting from Feb.10/2020 to early March/2020,from which we successfully predicted that the turning period of COVID-19 epidemic in Wuhan would arrive within one week after Feb.14/2020,as verified by the true observation in the practice.The method established in this paper for the prediction of“Turning Term(Period)Structures”by applying COVID-19 epidemic in China happened early 2020 seems timely and accurate,providing adequate time for the government,hospitals,essential industry sectors and services to meet peak demands and to prepare aftermath planning,and associated criteria for the Turning Term Structure of COVID-19 epidemic is expected to be a useful and powerful tool to implement the so-called“dynamic zero-COVID-19 policy”ongoing basis in the practice. 展开更多
关键词 prediction framework turning period structure turing phase COVID-19 epidemic emergency risk management emergency plan Delta and Gamma i SEIR spatio-temporal model supersaturation phenomenon multiplex network dynamic zero-COVID-19 policy
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Responses of Grassland and Forest to Temperature and Precipitation Changes in Northeast China 被引量:3
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作者 彭静 董文杰 +1 位作者 袁文平 张勇 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2012年第5期1063-1077,共15页
Using the Normalized Difference Vegetation Index (NDVI) as an indicator of vegetation growth, we explored the characteristics and differences in the response to drought of five vegetation biomes in Northeast China, ... Using the Normalized Difference Vegetation Index (NDVI) as an indicator of vegetation growth, we explored the characteristics and differences in the response to drought of five vegetation biomes in Northeast China, including typical steppe, desert steppe, meadow steppe, deciduous coniferous forest and deciduous broad-leaved forest during the period 1982 2009. The results indicate that growing season precipitation may be the primary vegetation growth-limiting factor in grasslands. More than 70% of the temporal variations in NDVI can be explained by the amount of precipitation during the growing season in typical and desert steppes. During the same period, the mean temperature in the growing season could explain nearly 43% of the variations in the mean growing season NDVI and is therefore a dominant growth-limiting factor for forest ecosystems. Therefore, the NDVI trends differ largely due to differences in the vegetation growth-limiting factors of the different vegetation biomes. The NDVI responses to droughts vary in magnitude and direction and depend on the drought-affected areas of the five vegetation types. Specifically, the changes in NDVI are consistent with the variations in precipitation for grassland ecosystems. A lack of precipitation resulted in decreases in NDVI, thereby reducing vegetation growth in these regions. Conversely, increasing precipitation decreased the NDVI of forest ecosystems. The results also suggest that grasslands under arid and semi-arid environments may be more sensitive to drought than forests under humid environments. Among grassland ecosystems, desert steppe was most sensitive to drought, followed by typical steppe; meadow steppe was the least sensitive. 展开更多
关键词 DROUGHT GRASSLAND FOREST NDVI departures precipitation departures temperature depar- tures Northeast China
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一类具有交错扩散和捕获项的捕食-食饵模型的稳态解
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作者 罗丽琴 李海侠 吴绍艳 《中山大学学报(自然科学版)(中英文)》 北大核心 2025年第4期134-146,共13页
研究了一类具有Crowley-Martin反应函数和捕获项的捕食-食饵交错扩散模型.首先,利用线性算子的稳定性理论给出了常数稳态解的稳定条件以及交错扩散驱动的Turing不稳定条件.其次,运用能量估计法和Leray-Schauder度理论分别讨论了非常数... 研究了一类具有Crowley-Martin反应函数和捕获项的捕食-食饵交错扩散模型.首先,利用线性算子的稳定性理论给出了常数稳态解的稳定条件以及交错扩散驱动的Turing不稳定条件.其次,运用能量估计法和Leray-Schauder度理论分别讨论了非常数正稳态解的不存在性和存在性.最后,通过数值模拟对理论结果进行了验证和补充.研究结果表明交错扩散对正常数稳态解的稳定性和非常数正稳态解的存在性具有非常重要的影响,会引起模型非均匀空间模式的形成,而且采取合理的捕捞策略能确保种群的可持续发展. 展开更多
关键词 捕食-食饵交错扩散模型 Crowley-Martin反应函数 捕获项 Turing不稳定 存在性
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基于状态反馈控制策略的交叉扩散Sel′kov-Schnakenberg系统时空动力学研究
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作者 李佳旺 肖敏 +1 位作者 周映江 徐丰羽 《南京理工大学学报》 北大核心 2025年第5期612-624,共13页
斑图动力学与控制是自然和工程领域的前沿热点。针对传统Sel′kov-Schnakenberg系统仅考虑自扩散的局限性,该文引入交叉扩散机制,构建一类新的Sel′kov-Schnakenberg系统,并设计状态反馈控制策略,实现了优化斑图动力学的目标。首先,以... 斑图动力学与控制是自然和工程领域的前沿热点。针对传统Sel′kov-Schnakenberg系统仅考虑自扩散的局限性,该文引入交叉扩散机制,构建一类新的Sel′kov-Schnakenberg系统,并设计状态反馈控制策略,实现了优化斑图动力学的目标。首先,以交叉扩散系数为分岔参数,探讨其对系统稳定性和斑图结构的影响;随后,深入分析状态反馈控制器对系统时空动力学的作用。数值模拟结果显示,当自扩散系数维持系统稳定时,交叉扩散可有效激发图灵(Turing)斑图自组织;在自扩散引发Turing失稳时,交叉扩散驱动斑图形态发生显著相变。此外,调节状态反馈控制器增益k_(p)从-0.5变化到0.5,Turing分岔阈值可从-0.0701提高至0.0418。该文研究证实了交叉扩散机制可以更精准地刻画物质间的耦合扩散效应,并且反馈控制为斑图动力学优化提供了有效技术路径。 展开更多
关键词 交叉扩散 Sel′kov-Schnakenberg模型 状态反馈控制 Turing失稳 斑图模式
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具有食饵避难所的捕食者-食饵模型稳态解
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作者 吴绍艳 李海侠 罗丽琴 《大连理工大学学报》 北大核心 2025年第4期431-440,共10页
研究了一类具有食饵避难所和捕获项的修正Leslie-Gower捕食者-食饵模型.首先利用线性化方法和特征值理论探讨了常数稳态解的稳定性以及自扩散和交错扩散系统的Turing不稳定性,其次采用能量估计法和度理论分析了非常数正稳态解的不存在... 研究了一类具有食饵避难所和捕获项的修正Leslie-Gower捕食者-食饵模型.首先利用线性化方法和特征值理论探讨了常数稳态解的稳定性以及自扩散和交错扩散系统的Turing不稳定性,其次采用能量估计法和度理论分析了非常数正稳态解的不存在性和存在性,最后通过数值模拟对理论结果进行了验证和补充.结果表明,种群间的扩散可以促进系统空间模式的形成,并且适当的食饵避难率和捕获率可确保种群稳态共存. 展开更多
关键词 修正Leslie-Gower捕食者-食饵模型 交错扩散 食饵避难所 Turing不稳定性 非常数正稳态解
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Countability of Infinite Paths in the Infinity Tree: Proof of the Continuum Hypothesis in a Non-Cantorian Infinity Theory
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作者 Philip C. Jackson 《Advances in Pure Mathematics》 2025年第1期73-90,共18页
A previous paper showed that the real numbers between 0 and 1 could be represented by an infinite tree structure, called the ‘infinity tree’, which contains only a countably infinite number of nodes and arcs. This p... A previous paper showed that the real numbers between 0 and 1 could be represented by an infinite tree structure, called the ‘infinity tree’, which contains only a countably infinite number of nodes and arcs. This paper discusses how a finite-state Turing machine could, in a countably infinite number of state transitions, write all the infinite paths in the infinity tree to a countably infinite tape. Hence it is argued that the real numbers in the interval [0, 1] are countably infinite in a non-Cantorian theory of infinity based on Turing machines using countably infinite space and time. In this theory, Cantor’s Continuum Hypothesis can also be proved. And in this theory, it follows that the power set of the natural numbers P(ℕ) is countably infinite, which contradicts the claim of Cantor’s Theorem for the natural numbers. However, this paper does not claim there is an error in Cantor’s arguments that [0, 1] is uncountably infinite. Rather, this paper considers the situation as a paradox, resulting from different choices about how to represent and count the continuum of real numbers. 展开更多
关键词 INFINITY Countable UNCOUNTABLE Diagonalization Real Numbers Infinity Tree Continuum Hypothesis Turing Machine Infinite Time Turing Machine Non-Cantorian
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Turing instability-induced oscillations in coupled reaction-diffusion systems
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作者 Nan Wang Yuan Tong +3 位作者 Fucheng Liu Xiaoxuan Li Yafeng He Weili Fan 《Chinese Physics B》 2025年第3期541-548,共8页
A new type of localized oscillatory pattern is presented in a two-layer coupled reaction-diffusion system under conditions in which no Hopf instability can be discerned in either layer.The transitions from stationary ... A new type of localized oscillatory pattern is presented in a two-layer coupled reaction-diffusion system under conditions in which no Hopf instability can be discerned in either layer.The transitions from stationary patterns to asynchronous and synchronous oscillatory patterns are obtained.A novel method based on decomposing coupled systems into two associated subsystems has been proposed to elucidate the mechanism of formation of oscillating patterns.Linear stability analysis of the associated subsystems reveals that the Turing pattern in one layer induces the other layer locally,undergoes a supercritical Hopf bifurcation and gives rise to localized oscillations.It is found that the sizes and positions of oscillations are determined by the spatial distribution of the Turing patterns.When the size is large,localized traveling waves such as spirals and targets emerge.These results may be useful for deeper understanding of pattern formation in complex systems,particularly multilayered systems. 展开更多
关键词 OSCILLATIONS localized oscillatory pattern Turing instability coupled reaction-diffusion system
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Turing topologies regulate interfacial microenvironments for industrial-level CO_(2)-to-formate electrosynthesis
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作者 Suxin Bai Min Kuang Jianping Yang 《Rare Metals》 2025年第8期5898-5901,共4页
Achieving industrial-level electrochemical CO_(2)reduction to formate remains a significant challenge due to limitations in catalyst selectivity and interfacial proton management at high current densities.In a recent ... Achieving industrial-level electrochemical CO_(2)reduction to formate remains a significant challenge due to limitations in catalyst selectivity and interfacial proton management at high current densities.In a recent study,Prof.Guo and colleagues report the development of Turingstructured electrocatalysts,which incorporate reaction-diffusion-inspired topologies to engineer mesoscale surface patterns.This design enables precise modulation of the interfacial microenvironment,enhancing CO_(2)activation and suppressing competing hydrogen evolution.The resulting catalysts achieve efficient and stable CO_(2)-to-formate conversion under industrially relevant conditions,offering a promising strategy for scalable carbon-neutral chemical production. 展开更多
关键词 co formate electrosynthesis interfacial microenvironments precise modulation interfacial microenvironmentenhancing turing topologies reaction diffusion inspired topologies turingstructured electrocatalystswhich catalyst selectivity interfacial proton management
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时滞控制神经网络的稳定性和Turing斑图结构 被引量:6
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作者 赵洪涌 袁静岚 胡文 《控制理论与应用》 EI CAS CSCD 北大核心 2013年第3期288-298,共11页
本文讨论了一类时滞反应扩散神经网络模型.利用时滞来控制系统的稳定性、分岔和Turing斑图.研究结果表明,在一定条件下,时滞不仅能影响系统的稳定性和周期震荡性,还能影响系统的Turing不稳定性.数值模拟验证了理论分析的正确性,同时还... 本文讨论了一类时滞反应扩散神经网络模型.利用时滞来控制系统的稳定性、分岔和Turing斑图.研究结果表明,在一定条件下,时滞不仅能影响系统的稳定性和周期震荡性,还能影响系统的Turing不稳定性.数值模拟验证了理论分析的正确性,同时还说明了时滞能改变斑图的结构. 展开更多
关键词 稳定性 HOPF分岔 Turing不稳定性 反应扩散 时滞神经网络
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一类三种群食物链模型中交错扩散引起的Turing不稳定 被引量:6
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作者 张道祥 赵李鲜 胡伟 《山东大学学报(理学版)》 CAS CSCD 北大核心 2017年第1期88-97,共10页
研究了一类三种群食物链模型的强耦合交错扩散系统。首先通过构造Lyapunov函数证明唯一的正平衡点在ODE系统下是全局渐近稳定的,当交错扩散系数均为零时,唯一的正平衡点仍是全局渐近稳定的。当引入交错扩散时,正平衡点则变得不稳定。利... 研究了一类三种群食物链模型的强耦合交错扩散系统。首先通过构造Lyapunov函数证明唯一的正平衡点在ODE系统下是全局渐近稳定的,当交错扩散系数均为零时,唯一的正平衡点仍是全局渐近稳定的。当引入交错扩散时,正平衡点则变得不稳定。利用Routh-Hurwitz准则和Descartes符号法则证明了大的交错扩散系数(k21或k32足够大时)可以导致平衡点由原来的稳定变得不稳定。最后利用数学软件Matlab对我们的结果进行数值模拟,得到了不同类型的Turing斑图,包括六边形、条状以及二者共存的斑图。 展开更多
关键词 食物链模型 交错扩散 Turing不稳定 Turing斑图
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水下自主航行器大容量信息存储的研究与实现 被引量:4
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作者 王欢 吴旭光 王慧 《计算机测量与控制》 CSCD 2006年第1期85-87,108,共4页
现代化建设对水下航行器提出了更高的要求,尤其是大航程、高机动性,使得水下自主航行器内的信息种类增多,连接方式多样化,测试点多和记录数据量大,测试记录节点的数据导出采用串口等串行设备,将使导出时间长到难以接受;在研究比较了多... 现代化建设对水下航行器提出了更高的要求,尤其是大航程、高机动性,使得水下自主航行器内的信息种类增多,连接方式多样化,测试点多和记录数据量大,测试记录节点的数据导出采用串口等串行设备,将使导出时间长到难以接受;在研究比较了多种嵌入式实时操作系统后,采用嵌入式实时操作系统VxWorks,在扩充的海量flash上运行文件系统来管理数据和代码,可以很好的解决试验数据的记录和传输问题;为了更有效地管理大容量的nandflash存储芯片上的数据文件,在VxWorks系统上设计了文件系统,实现了TureFFS块设备驱动,与本机dosFs文件系统挂接的在水下自主航行器内测记录节点,从而解决系统信息的大容量存储和快速导出的方法;研究的方法具有广泛的适用性,在其他飞行器、自主航行器和机器人的测试系统中也有广泛的应用前景。 展开更多
关键词 NAND FIashl VXWORKS 板级支持包BSP TureFFS(Ture Flash文件系统)
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一类带负交叉扩散项二维系统的空间Turing斑图 被引量:3
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作者 张道祥 赵李鲜 +2 位作者 孙光讯 周文 于艳 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2017年第3期537-546,共10页
考虑一类带负交叉扩散项二维系统的Turing斑图生成及其选择问题.先利用稳定性理论和Hopf分支理论得到Turing斑图的存在区域,再利用多重尺度分析法推导系统的振幅方程,并给出Turing斑图的选择结果.最后考虑一个具有比率依赖的Holling-Tan... 考虑一类带负交叉扩散项二维系统的Turing斑图生成及其选择问题.先利用稳定性理论和Hopf分支理论得到Turing斑图的存在区域,再利用多重尺度分析法推导系统的振幅方程,并给出Turing斑图的选择结果.最后考虑一个具有比率依赖的Holling-Tanner捕食模型生态系统,利用MATLAB软件对该模型的斑图生成及选择结果进行数值模拟,得到了包括点状、条状以及二者共存等不同类型的Turing斑图. 展开更多
关键词 二维系统 负交叉扩散系数 振幅方程 Turing斑图
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细胞自动机的演化与计算理论 被引量:6
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作者 吕晓阳 孔令江 刘慕仁 《华南师范大学学报(自然科学版)》 CAS 1996年第2期43-49,共7页
本文介绍一维细胞自动机的基础原理,讨论了细胞自动机演化位形序列与形式语言的等价性,并给出90规则与150规则的正则语言集,同时还建立了Turing机仿真90规则的程序并给出相应的状态转移图.
关键词 形式语言 Turing机 细胞自动机 演化 自动机
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Selkov模型不同扩散和流速下非Turing不稳定化学反应机制 被引量:2
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作者 龚玉兵 王宝英 徐强 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 北大核心 2003年第3期209-213,共5页
建立了Selkov模型中间反应物具有不同扩散和不同流速条件下的反应 扩散 流动方程 ,理论分析了非Turing不稳定形成的条件 ,求得其参数区间 ,对Andresen的结论作了拓展 .研究还发现 ,在振荡Hopf区域之外 ,静止波动 (空间周期结构FDS)仍... 建立了Selkov模型中间反应物具有不同扩散和不同流速条件下的反应 扩散 流动方程 ,理论分析了非Turing不稳定形成的条件 ,求得其参数区间 ,对Andresen的结论作了拓展 .研究还发现 ,在振荡Hopf区域之外 ,静止波动 (空间周期结构FDS)仍然可以存在 .因而 ,此结构存在的参数空间大于Andresen的结果 .同时 ,还将此种不稳定参数区间与Turing不稳定和差速流动引起不稳定 (DIFI)的结果进行了比较 ,结果发现静态FDS值总是处于DIFI临界曲线相应的最小值之上 ,这表明动力学机制是由DIFI不稳定造成的 。 展开更多
关键词 Selkov模型 Turing不稳定和非Turing不稳定 反应-扩散-流动方程 DIFI不稳定
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基于比率依赖的Leslie捕食扩散模型的Turing不稳定性 被引量:4
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作者 唐秋林 吴美云 《安徽大学学报(自然科学版)》 CAS 北大核心 2010年第5期5-10,共6页
针对一类带有比率依赖的HollingⅡ型功能反应的Leslie捕食模型的扩散问题进行研究.首先得到无扩散时正平衡点的稳定条件,讨论在正平衡点附近Hopf分支的存在性和稳定性;其次,讨论了扩散存在时对正平衡点稳定性产生的影响;最后给出数值模... 针对一类带有比率依赖的HollingⅡ型功能反应的Leslie捕食模型的扩散问题进行研究.首先得到无扩散时正平衡点的稳定条件,讨论在正平衡点附近Hopf分支的存在性和稳定性;其次,讨论了扩散存在时对正平衡点稳定性产生的影响;最后给出数值模拟验证. 展开更多
关键词 比率依赖 Leslie模型 扩散 Turing不稳定
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基于比率依赖的Holling Ⅲ型Leslie捕食扩散模型的分析 被引量:1
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作者 唐秋林 陈玉娟 +1 位作者 李莉莉 陆晨 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第3期49-54,共6页
研究了一类具有比率依赖的HollingⅢ型功能反应的Leslie捕食模型的扩散问题.首先讨论了无扩散时正平衡点解的渐近稳定条件;其次研究了扩散对正平衡点稳定性产生的影响;最后给出了数值模拟.
关键词 比率依赖 Leslie模型 扩散 Turing不稳定
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一类Holling-Tanner捕食模型正常数平衡态解的稳定性 被引量:2
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作者 冯孝周 陈法超 《西安工业大学学报》 CAS 2008年第5期502-505,共4页
研究了一类带Holling-Tanner反应项的捕食模型在Neumman边界条件下正常数平衡态解Turing不稳定性及一致渐近稳定性.利用比较原理,算子谱理论及Turing理论,得到了正解的一些先验估计,正常数平衡态解(■,■)的Turing不稳定性及正常数平衡... 研究了一类带Holling-Tanner反应项的捕食模型在Neumman边界条件下正常数平衡态解Turing不稳定性及一致渐近稳定性.利用比较原理,算子谱理论及Turing理论,得到了正解的一些先验估计,正常数平衡态解(■,■)的Turing不稳定性及正常数平衡态解(■,■)的一致渐近稳定性.说明该捕食模型中参数在一定变化范围内正常数解(■,■)处可能产生非常数正共存解,而在另一个特定的范围内不可能产生非常数正共存解. 展开更多
关键词 捕食模型 正常数平衡态解 稳定性 Turing不稳定
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