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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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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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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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交叉扩散驱动的SI模型空间斑图
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作者 陆源杉 肖敏 +2 位作者 万佑红 丁洁 蒋海军 《物理学报》 SCIE EI CAS CSCD 北大核心 2024年第8期62-71,共10页
目前国内外关于SI模型空间格局的研究大多数局限在自扩散以及系统参数对斑图模式的影响,而关于交叉扩散对空间格局的演化机理研究成果较少.本文建立了一个具有自扩散和交叉扩散的空间流行病模型,研究了在有无自扩散驱动系统不稳定的情况... 目前国内外关于SI模型空间格局的研究大多数局限在自扩散以及系统参数对斑图模式的影响,而关于交叉扩散对空间格局的演化机理研究成果较少.本文建立了一个具有自扩散和交叉扩散的空间流行病模型,研究了在有无自扩散驱动系统不稳定的情况下,交叉扩散对SI模型的稳定性、稳定速度以及斑图结构的影响.研究发现,在无自扩散驱动系统不稳定的情况下,引入交叉扩散能够激发Turing斑图的产生;在自扩散驱动系统不稳定的情况下,交叉扩散可以实现斑图结构的改变;对于SI模型的稳定速度,不论有无自扩散驱动系统不稳定,交叉扩散都影响了其到达稳定所需时间,且在不同的交叉扩散系数下,所需时间也不同.因此,交叉扩散对于SI模型的稳定性、稳定速度、斑图结构都有重要的影响. 展开更多
关键词 Turing不稳定 非线性发病率 交叉扩散 TURING 斑图
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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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具有集群行为的捕食者-食饵反应扩散模型的动力学分析 被引量:1
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作者 郑薇 张存华 《洛阳理工学院学报(自然科学版)》 2024年第3期70-77,共8页
考虑一类具有集群行为和齐次Neumann边界条件的捕食者-食饵反应扩散系统。通过分析系统在正常数平衡解处线性化系统的特征值问题,获得了正常数平衡解的局部渐近稳定性、Turing不稳定性、Hopf分岔和Turing-Hopf分岔的存在性。同时,通过... 考虑一类具有集群行为和齐次Neumann边界条件的捕食者-食饵反应扩散系统。通过分析系统在正常数平衡解处线性化系统的特征值问题,获得了正常数平衡解的局部渐近稳定性、Turing不稳定性、Hopf分岔和Turing-Hopf分岔的存在性。同时,通过数值模拟对所获得的理论结果进行了适当的数值验证。 展开更多
关键词 集群行为 稳定性 Turing不稳定性 HOPF分岔 Turing-Hopf分岔
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通智测试——基于动态具身物理社会交互环境的通用人工智能测试 被引量:2
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作者 Yujia Peng Jiaheng Han +7 位作者 Zhenliang Zhang Lifeng Fan Tengyu Liu Siyuan Qi Xue Feng Yuxi Ma Yizhou Wang Song-Chun Zhu 《Engineering》 SCIE EI CAS CSCD 2024年第3期12-22,共11页
The release of the generative pre-trained transformer(GPT)series has brought artificial general intelligence(AGI)to the forefront of the artificial intelligence(AI)field once again.However,the questions of how to defi... The release of the generative pre-trained transformer(GPT)series has brought artificial general intelligence(AGI)to the forefront of the artificial intelligence(AI)field once again.However,the questions of how to define and evaluate AGI remain unclear.This perspective article proposes that the evaluation of AGI should be rooted in dynamic embodied physical and social interactions(DEPSI).More specifically,we propose five critical characteristics to be considered as AGI benchmarks and suggest the Tong test as an AGI evaluation system.The Tong test describes a value-and ability-oriented testing system that delineates five levels of AGI milestones through a virtual environment with DEPSI,allowing for infinite task generation.We contrast the Tong test with classical AI testing systems in terms of various aspects and propose a systematic evaluation system to promote standardized,quantitative,and objective benchmarks and evaluation of AGI. 展开更多
关键词 Artificial general intelligence Artificial intelligence benchmark Artificial intelligence evaluation Embodied artificial intelligence Value alignment Turing test CAUSALITY
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一个扩散模型中恐惧效应与集群行为协同诱导的时空动力学研究 被引量:1
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作者 肖江龙 宋永利 夏永辉 《数学物理学报(A辑)》 CSCD 北大核心 2024年第6期1577-1594,共18页
该文研究了在齐次Neumann边界条件下扩散的捕食者--猎物模型的时空动力学.该文研究表明,恐惧和集群行为之间的相互作用产生了非常丰富和有趣的时空动力学.详细讨论了Turing不稳定性和Turing-Hopf分支产生的条件.利用规范型理论对Turing-... 该文研究了在齐次Neumann边界条件下扩散的捕食者--猎物模型的时空动力学.该文研究表明,恐惧和集群行为之间的相互作用产生了非常丰富和有趣的时空动力学.详细讨论了Turing不稳定性和Turing-Hopf分支产生的条件.利用规范型理论对Turing-Hopf分支点附近的时空动力学进行了分类,并用丰富的数值模拟验证了理论分析.最后,总结了恐惧效应对集群行为的巨大影响.发现猎物的集群行为不能抵消高水平的恐惧,但可以抵消低水平的恐惧.此外,恐惧效应与集群行为共同诱发了系统的Turing不稳定性.然而,对于没有集群行为的系统,恐惧效应既不会改变共存平衡点的稳定性,也不会引起系统产生周期解或Turing不稳定性. 展开更多
关键词 Turing-Hopf分支 Turing不稳定性 集群行为 恐惧效应 动力学分类 捕食者-猎物模型
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扩散和时滞影响下病毒感染模型的Turing不稳定性和Hopf分岔
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作者 王赫 肖敏 +3 位作者 庄乾辉 梁金玲 邱建龙 蒋海军 《扬州大学学报(自然科学版)》 CAS 2024年第1期1-8,共8页
考虑反应扩散和时滞因素,研究了病毒感染模型的Turing不稳定性和Hopf分岔.首先,给出无时滞情形下的Turing不稳定条件;其次,选择时滞为分岔参数,得到Hopf分岔的判据,同时给出分岔阈值的解析表达;最后,通过数值模拟仿真验证了理论结果的... 考虑反应扩散和时滞因素,研究了病毒感染模型的Turing不稳定性和Hopf分岔.首先,给出无时滞情形下的Turing不稳定条件;其次,选择时滞为分岔参数,得到Hopf分岔的判据,同时给出分岔阈值的解析表达;最后,通过数值模拟仿真验证了理论结果的正确性. 展开更多
关键词 病毒感染模型 反应扩散 时滞 Turing不稳定性 HOPF分岔
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具有记忆时滞的捕食者-食饵模型的分支分析
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作者 周鑫炎 王小利 《数学杂志》 2024年第5期460-470,共11页
本文研究了一类在Neumann边界条件下带有记忆时滞的捕食者-食饵模型稳定性以及分支的相关问题.利用强极大值原理和抛物方程的比较原理得到了模型的适定性(存在性、唯一性和正性),然后分析了系统中常数稳态解的稳定性;同时以基于记忆的... 本文研究了一类在Neumann边界条件下带有记忆时滞的捕食者-食饵模型稳定性以及分支的相关问题.利用强极大值原理和抛物方程的比较原理得到了模型的适定性(存在性、唯一性和正性),然后分析了系统中常数稳态解的稳定性;同时以基于记忆的扩散系数为分支参数,得到了系统的Turing分支和Hopf分支;说明了在该系统中对于任意的记忆时滞,总会存在大于临界值的记忆扩散系数,使得正常数稳态解是不稳定的;最后利用数值模拟验证相应结论. 展开更多
关键词 反应-扩散方程 记忆时滞 适定性 Turing分支 HOPF分支
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具有饱和输出的化学反应模型的稳定性和Hopf分支
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作者 谭梦凡 魏春金 《集美大学学报(自然科学版)》 CAS 2024年第6期495-504,共10页
在齐次Neumann边界条件下,讨论一类具有饱和输出的化学反应模型的Hopf分支问题。讨论常微分系统正平衡点的存在性和稳定性,分析Hopf分支的存在性、方向及稳定性;讨论反应扩散系统的Turing不稳定性和Hopf分支。最后,借助Matlab软件进行... 在齐次Neumann边界条件下,讨论一类具有饱和输出的化学反应模型的Hopf分支问题。讨论常微分系统正平衡点的存在性和稳定性,分析Hopf分支的存在性、方向及稳定性;讨论反应扩散系统的Turing不稳定性和Hopf分支。最后,借助Matlab软件进行数值模拟,验证和刻画了文中的结论。 展开更多
关键词 饱和输出 化学反应 Turing不稳定性 HOPF分支
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延迟反馈对Turing和Hopf分岔转换的控制
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作者 杨爽 马淑芳 《哈尔滨商业大学学报(自然科学版)》 CAS 2024年第5期585-591,共7页
研究了一类反应扩散方程在延迟反馈控制下的时空不稳定性.将延迟视为扰动,分析了延迟对余维-2 Turing-Hopf相空间附近的Turing和Hopf不稳定性的影响.延迟显著地改变了振荡频率、本征波矢量以及Turing和Hopf模态的强度.可见适当的延迟可... 研究了一类反应扩散方程在延迟反馈控制下的时空不稳定性.将延迟视为扰动,分析了延迟对余维-2 Turing-Hopf相空间附近的Turing和Hopf不稳定性的影响.延迟显著地改变了振荡频率、本征波矢量以及Turing和Hopf模态的强度.可见适当的延迟可以控制Turing斑图和Hopf斑图之间的转换.结果表明,单个反馈或双反馈都可以实现Turing斑图与Hopf斑图之间转换的控制,从而说明了延迟反馈对控制余维-2 Turing-Hopf相空间附近的斑图形成方面的有效性. 展开更多
关键词 斑图形成 反应扩散系统 延迟反馈 稳定性 Turing斑图 Hopf斑图
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Spatial patterns of the Brusselator model with asymmetric Lévy diffusion
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作者 Hongwei Yin Shangtao Yang +2 位作者 Xiaoqing Wen Haohua Wang Shufen Yang 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第11期129-136,共8页
The formation of spatial patterns is an important issue in reaction–diffusion systems.Previous studies have mainly focused on the spatial patterns in reaction–diffusion models equipped with symmetric diffusion(such ... The formation of spatial patterns is an important issue in reaction–diffusion systems.Previous studies have mainly focused on the spatial patterns in reaction–diffusion models equipped with symmetric diffusion(such as normal or fractional Laplace diffusion),namely,assuming that spatial environments of the systems are homogeneous.However,the complexity and heterogeneity of spatial environments of biochemical reactions in vivo can lead to asymmetric diffusion of reactants.Naturally,there arises an open question of how the asymmetric diffusion affects dynamical behaviors of biochemical reaction systems.To answer this,we build a general asymmetric L´evy diffusion model based on the theory of a continuous time random walk.In addition,we investigate the two-species Brusselator model with asymmetric L´evy diffusion,and obtain a general condition for the formation of Turing and wave patterns.More interestingly,we find that even though the Brusselator model with symmetric diffusion cannot produce steady spatial patterns for some parameters,the asymmetry of L´evy diffusion for this model can produce wave patterns.This is different from the previous result that wave instability requires at least a three-species model.In addition,the asymmetry of L´evy diffusion can significantly affect the amplitude and frequency of the spatial patterns.Our results enrich our knowledge of the mechanisms of pattern formation. 展开更多
关键词 asymmetric Lévy diffusion Turing and wave patterns Brusselator model
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