检索结果-南通市图书馆

Stochastic response analysis of noisy system with non-negative real-power restoring force by generalized cell mapping method

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2015年第3期36卷 329-336页

作者： Qun HAN Wei XU xiaole yue Department of Applied Mathematics Northwestern Polytechnical University

The stochastic response of a noisy system with non-negative restoring force is investigated. The generalized cell mapping （GCM） method compute the transient and stationary probability density functions （PDFs） real-power is used to Combined with the global properties of the noise-free system, the evolutionary process of the tran- sient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.

关键词： stochastic response probability density function (PDF) generalized cell mapping (GCM) method real-power restoring force bifurcation

Stochastic bifurcations in the SD (smooth and discontinuous) oscillator under bounded noise excitation

在线全文

学校读者我要写书评

暂无评论

Science China(Physics,Mechanics & Astronomy) 2013年第5期56卷 1010-1016页

作者： yue xiaole XU Wei WANG Liang Department of Applied Mathematics Northwestern Polytechnical University

Stochastic bifurcations of the SD （smooth and discontinuous） oscillator with additive and/or multiplicative bounded noises are studied by the generalized cell mapping method using digraph analysis algorithm. From the global viewpoint, stochastic bifur- cation can be described as a sudden change in shape and size of a random attractor as the system parameter valies. The evolu- tionary process of stochastic bifurcation in the SD oscillator is shown in detail. Meanwhile, we show the phenomenon that un- der stochastic excitation the shape and size of random attractor and random saddle change along with the direction of unstable manifold. A plane stochastic bifurcation diagram is included.

关键词： stochastic bifurcation SD oscillator generalized cell mapping method bounded noise

Global analyses of crisis and stochastic bifurcation in the hardening Helmholtz-Duffing oscillator

在线全文

学校读者我要写书评

暂无评论

Science China(Technological Sciences) 2010年第3期53卷 664-673页

作者： XU Wei & yue xiaole Department of Applied Mathematics,Northwestern Polytechnical University,Xi’an 710072,China 1. Department of Applied Mathematics Northwestern Polytechnical University Xi’an 710072 China

Crisis and stochastic bifurcation of the hardening Helmholtz-Duffing oscillator are studied by means of the generalized cell mapping method using *** the system subject to a single deterministic harmonic excitation,our study reveals that a series of crisis phenomena can occur when the system parameter passes through different critical values,including chaotic boundary crisis,regular boundary crisis and interior crisis.A chaotic boundary crisis due to the collision of regular attractor with chaotic saddle embedded in a fractal basin boundary and an interior crisis due to the collision of regular attractor with chaotic saddle of its attraction basin are discovered.A new phenomenon,namely the global properties of dynamical system show symmetric as system parameter is varied,can be also revealed according to our *** the system subject to a combination of a deterministic harmonic excitation and a random excitation,it is found that stochastic bifurcation,defined as a sudden change in character of a stochastic attractor,can occur one after another when the noise intensity passes through different critical *** kind of stochastic bifurcation corresponds to stochastic crisis *** study also reveals that the generalized cell mapping method using digraph is a powerful tool not only for the crisis behavior analysis of deterministic system,but also for the global property analysis of stochastic bifurcation.

关键词： crisis stochastic bifurcation hardening Helmholtz-Duffing oscillator generalized cell mapping method using digraph

Boundary and Interior Crises in an Elastic Impact Oscillator

在线全文

学校读者我要写书评

暂无评论

Boundary and Interior Crises in an Elastic Impact Oscillator

Characteristics and source apportionment of ambient volatile organic compounds and ozone generation sensitivity in urban Jiaozuo,China

第九届全国动力学与控制学术会议

作者： xiaole yue Wei Xu Liang Wang Department of Applied Mathematics Northwestern Polytechnical University

The crisis phenomena of a Duffimg-Van der Pol oscillator with a one-side elastic constraint are studied by the composite cell coordinate system method in this paper. This method gives the vivid evolutionary process of two kinds of crises:boundary crisis and interior *** boundary crisis is resulted by the collision of a chaotic attractor and a periodic saddle on the basin *** is observed that there are two types of interior *** is caused by the collision of a chaotic attractor and a

关键词： Elastic impact oscillator crisis composite cell coordinate system method

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Journal of Environmental Sciences 2024年第4期138卷 607-625页

作者： Pengzhao Li Chun Chen Dan Liu Jie Lian Wei Li Chuanyi Fan Liangyu Yan yue Gao Miao Wang Hang Liu xiaole Pan Jing Mao State Centre for International Cooperation on Designer Low-Carbon and Environmental Materials School of Materials Science and EngineeringZhengzhou UniversityZhengzhou 450001China Henan Key Laboratory of Environmental Monitoring Technology Henan Ecological Environment Monitoring and Safety CenterZhengzhou 450046China Jiaozuo Ecological Environment Monitoring Center of Henan Province Jiaozuo 454003China State Key Laboratory of Atmospheric Boundary Layer Physics and Atmospheric Chemistry Institute of Atmospheric PhysicsChinese Academy of SciencesBeijing 100029China

In recent years,many cities have taken measures to reduce volatile organic compounds(VOCs),an important precursor of ozone(O_(3)),to alleviate O_(3) pollution in China.116 VOC species were measured by online and offline methods in the urban area of Jiaozuo from May to October in 2021 to analyze the compositional *** sources were analyzed by a positive matrix factorization(PMF)model,and the sensitivity of ozone generation was determined by ozone isopleth plotting research(OZIPR)*** results showed that the average volume concentration of total VOCs was 30.54 ppbv and showed a bimodal feature due to the rush-hour traffic in the morning and at *** most dominant VOC groups were oxygenated VOCs(OVOCs,29.3%)and alkanes(26.7%),and the most abundant VOC species were acetone and ***,based on the maximum incremental reactivity(MIR)method,the major VOC groups in terms of ozone formation potential(OFP)contribution were OVOCs(68.09μg/m^(3),31.5%),aromatics(62.90μg/m^(3),29.1%)and alkene/alkynes(54.90μg/m^(3),25.4%).This indicates that the control of OVOCs,aromatics and alkene/alkynes should take *** sources of VOCs were quantified by PMF,including fixed sources of fossil fuel combustion(27.8%),industrial processes(25.9%),vehicle exhaust(19.7%),natural and secondary formation(13.9%)and solvent usage(12.7%).The empirical kinetic modeling approach(EKMA)curve obtained by OZIPR on O_(3) exceedance days indicated that the O_(3) sensitivity varied in different *** results provide theoretical support for O_(3) pollution prevention and control in Jiaozuo.

关键词： Volatile organic compounds(VOCs) Online and offline measurement Ozone formation potential(OFP) Positive matrix factorization(PMF) Ozone isopleth plotting research(OZIPR) Jiaozuo

Duffing映射的全局动力学行为分析与研究

在线全文

学校读者我要写书评

暂无评论

西北工业大学学报 2017年第2期35卷 316-320页

作者：张莹都琳岳晓乐西北工业大学理学院陕西西安710072

针对二维离散Duffing映射,分别以a和b为分岔参数,借助多重分岔图、吸引子共存分析和吸引域分析等手段,对该映射系统的全局动力学行为进行了深入研究。研究结果表明,离散Duffing系统仅在一定参数范围内收敛;且随着参数的变化,虽然系统收... 详细信息

针对二维离散Duffing映射,分别以a和b为分岔参数,借助多重分岔图、吸引子共存分析和吸引域分析等手段,对该映射系统的全局动力学行为进行了深入研究。研究结果表明,离散Duffing系统仅在一定参数范围内收敛;且随着参数的变化,虽然系统收敛区域的范围和收敛域中的动力学行为各不相同,但其变化均具有一定的规律性。最后,借助吸引子、吸引域及边界的分析,明确了共存吸引子间的关系及其变化规律,进一步探讨了系统不同动力学行为间的转迁机制。

关键词： Duffing映射对称破裂分岔倍周期分岔混沌激变

随机激励下亚音速二维粘弹性壁板的全局动力学

在线全文

学校读者我要写书评

暂无评论

机械工程学报 2023年第23期59卷 105-117页

作者：岳晓乐张慧康余钡张莹西北工业大学数学与统计学院西安710129 西北工业大学空天领域复杂性科学教育部重点实验室西安710129

飞行器或列车由于服役环境复杂,壁板结构往往受到多种激励作用,影响其正常使用与安全。为此,针对亚音速气流下粘弹性壁板在外激力、气动力和随机噪声联合作用下的全局动力学特性展开研究。通过全局分岔图,观测到了激变、逆倍周期分岔等... 详细信息

飞行器或列车由于服役环境复杂,壁板结构往往受到多种激励作用,影响其正常使用与安全。为此,针对亚音速气流下粘弹性壁板在外激力、气动力和随机噪声联合作用下的全局动力学特性展开研究。通过全局分岔图,观测到了激变、逆倍周期分岔等一系列复杂的动力学行为,借助胞映射方法,获得了系统的吸引子、吸引域、鞍等全局信息,得到了系统响应演化过程中的瞬态与稳态概率密度函数。讨论了激励幅值和频率对壁板稳态响应的影响,发现确定性系统随着粘弹性参数和激励幅值的变化会呈现复杂的全局结构,揭示了激变现象的发生机制。随机激励下无论是瞬态还是稳态情形,系统随机响应的演化过程始终与确定性全局结构中的不稳定流形形状保持一致,激励幅值和频率的增加会导致稳态响应概率函数峰值的减小。研究结果对于壁板安全防护设计具有理论指导意义。

关键词：粘弹性壁板胞映射方法全局动力学随机响应

外激与参激作用下非光滑形状记忆合金梁的概率响应

在线全文

学校读者我要写书评

暂无评论

振动与冲击 2021年第17期40卷 1-6页

作者：李玉婷冯进钤岳晓乐西安工程大学理学院西安710048 西北工业大学数学与统计学院西安710072

研究了非光滑形状记忆合金梁受外激与参激作用下的概率响应及分岔现象。利用非光滑变换得到与原系统等效的近似系统,应用随机平均法和随机微分方程理论知识,推导出相应的平均Fokker-Planck-Kolmogorov方程;通过非光滑逆变换得到近似系... 详细信息

研究了非光滑形状记忆合金梁受外激与参激作用下的概率响应及分岔现象。利用非光滑变换得到与原系统等效的近似系统,应用随机平均法和随机微分方程理论知识,推导出相应的平均Fokker-Planck-Kolmogorov方程;通过非光滑逆变换得到近似系统的解析结果,并结合数值仿真对解析结果进行了验证;利用稳态响应的极值条件,进一步得到了系统发生随机分岔的临界条件,并验证了临界条件的正确性,使得随机分岔有了更加直观的预测结果。结果表明,阻尼系数以及碰撞恢复系数都可诱导系统发生随机分岔,并得到了系统产生分岔的参数临界值。

关键词：碰撞形状记忆合金(SMA) 概率响应随机分岔随机平均

在线全文

学校读者我要写书评

暂无评论

胞映射方法及其在非线性随机动力学中的应用

动力学与控制学报 2017年第3期15卷 200-208页

作者：徐伟岳晓乐韩群西北工业大学应用数学系西安710072 华中农业大学理学院武汉430070

介绍了与非线性随机动力学研究密切相关的几类胞映射方法的研究和进展,主要有广义胞映射图方法、基于短时高斯逼近的胞映射方法、并行胞映射方法等.简述了胞映射方法在随机动力学中的应用情况,重点关注随机响应、分岔、离出和碰撞振动系... 详细信息

介绍了与非线性随机动力学研究密切相关的几类胞映射方法的研究和进展,主要有广义胞映射图方法、基于短时高斯逼近的胞映射方法、并行胞映射方法等.简述了胞映射方法在随机动力学中的应用情况,重点关注随机响应、分岔、离出和碰撞振动系统.给出了胞映射方法面临的挑战,以及未来研究可能的发展方向.

关键词：胞映射方法并行算法离出短时高斯逼近