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Anticontrol of chaos for discrete-time fuzzy hyperbolic model with uncertain parameters 被引量:1
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作者 赵淡 张化光 郑成德 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第2期529-535,共7页
This paper proposes a new method to chaotify the discrete-time fuzzy hyperbolic model (DFHM) with uncertain parameters. A simple nonlinear state feedback controller is designed for this purpose. By revised Marotto t... This paper proposes a new method to chaotify the discrete-time fuzzy hyperbolic model (DFHM) with uncertain parameters. A simple nonlinear state feedback controller is designed for this purpose. By revised Marotto theorem, it is proven that the chaos generated by this controller satisfies the Li-Yorke definition. An example is presented to demonstrate the effectiveness of the approach. 展开更多
关键词 discrete-time fuzzy hyperbolic model anticontrol of chaos parametric uncertainty nonlinear state feedback
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ARMA–GARCH model with fractional generalized hyperbolic innovations 被引量:1
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作者 Sung Ik Kim 《Financial Innovation》 2022年第1期1407-1431,共25页
In this study,a multivariate ARMA–GARCH model with fractional generalized hyperbolic innovations exhibiting fat-tail,volatility clustering,and long-range dependence properties is introduced.To define the fractional g... In this study,a multivariate ARMA–GARCH model with fractional generalized hyperbolic innovations exhibiting fat-tail,volatility clustering,and long-range dependence properties is introduced.To define the fractional generalized hyperbolic process,the non-fractional variant is derived by subordinating time-changed Brownian motion to the generalized inverse Gaussian process,and thereafter,the fractional generalized hyperbolic process is obtained using the Volterra kernel.Based on the ARMA–GARCH model with standard normal innovations,the parameters are estimated for the high-frequency returns of six U.S.stocks.Subsequently,the residuals extracted from the estimated ARMA–GARCH parameters are fitted to the fractional and non-fractional generalized hyperbolic processes.The results show that the fractional generalized hyperbolic process performs better in describing the behavior of the residual process of high-frequency returns than the non-fractional processes considered in this study. 展开更多
关键词 Generalized hyperbolic process Time-changed Brownian motion Long-range dependence Fractional Brownian motion ARMA-GARCH model
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The Comparison of Different Degree of Convexity and 3D Modeling of Involute Hyperbolic Arch Dam 被引量:3
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作者 DU Qi-lu DU Ting-na ZHAO Hai-feng 《Computer Aided Drafting,Design and Manufacturing》 2011年第2期7-12,共6页
Because of good quality of compressive resistance, the hyperbolic arch dam is being increasingly applied to engineering projects. In order to satisfy the needs of compressive resistance under the conditions of high wa... Because of good quality of compressive resistance, the hyperbolic arch dam is being increasingly applied to engineering projects. In order to satisfy the needs of compressive resistance under the conditions of high water pressure, a stress analysis is required for the dam. During the stress analysis process however, due to the complexity of the three-dimensional modeling, it is very hard to form a model. Therefore, the stress analysis process is a barrier for the arch dam. In this article, based on the research of the new line-type arch dam, a mathematical model in different degree of convexity conditions of the dam is established; using the C + + language program, a computer three-dimensional model simulation is realized on AutoCAD. The accurate three-dimensional model is providing a finite element optimization design of the involute hyperbolic arch dam for the next step. 展开更多
关键词 the involute hyperbolic arch dam arch axis upstream arch arc downstream arch arc 3D modelling C program design
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Modeling Population Growth: Exponential and Hyperbolic Modeling
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作者 Dean Hathout 《Applied Mathematics》 2013年第2期299-304,共6页
A standard part of the calculus curriculum is learning exponential growth models. This paper, designed to serve as a teaching aid, extends the standard modeling by showing that simple exponential models, relying on tw... A standard part of the calculus curriculum is learning exponential growth models. This paper, designed to serve as a teaching aid, extends the standard modeling by showing that simple exponential models, relying on two points to fit parameters do not do a good job in modeling population data of the distant past. Moreover, they provide a constant doubling time. Therefore, the student is introduced to hyperbolic modeling, and it is demonstrated that with only two population data points, an amazing amount of information can be obtained, such as reasonably accurate doubling times that are a function of t, as well as accurate estimates of such entertaining topics as the total number of people that have ever lived on earth. 展开更多
关键词 EXPONENTIAL GROWTH modelING hyperbolic GROWTH modelING
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Fuzzy Adaptive Tracking Control of Uncertain Strict-Feedback Nonlinear Systems with Disturbances Based on Generalized Fuzzy Hyperbolic Model
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作者 Jingxuan Shi Zhongjun Yang 《Journal of Computer and Communications》 2020年第10期50-59,共10页
In this paper, a fuzzy adaptive tracking control for uncertain strict-feedback nonlinear systems with unknown bounded disturbances is proposed. The generalized fuzzy hyperbolic model (GFHM) with better approximation p... In this paper, a fuzzy adaptive tracking control for uncertain strict-feedback nonlinear systems with unknown bounded disturbances is proposed. The generalized fuzzy hyperbolic model (GFHM) with better approximation performance is used to approximate the unknown nonlinear function in the system. The dynamic surface control (DSC) is used to design the controller, which not only avoids the “explosion of complexity” problem in the process of repeated derivation, but also makes the control system simpler in structure and lower in computational cost because only one adaptive law is designed in the controller design process. Through the Lyapunov stability analysis, all signals in the closed loop system designed in this paper are semi-globally uniformly ultimately bounded (SGUUB). Finally, the effectiveness of the method is verified by a simulation example. 展开更多
关键词 Disturbances Uncertain Strict-Feedback Nonlinear Systems Adaptive Control Generalized Fuzzy hyperbolic model Dynamic Surface Control
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On Damped Wave Diffusion of Oxygen in Pancreatic Islets: Parabolic and Hyperbolic Models
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作者 Kal Renganathan Sharma 《Journal of Encapsulation and Adsorption Sciences》 2012年第3期33-41,共9页
Damped wave diffusion effects during oxygen transport in islets of Langerhans is studied. Simultaneous reaction and diffusion models were developed. The asymptotic limits of first and zeroth order in Michaelis and Men... Damped wave diffusion effects during oxygen transport in islets of Langerhans is studied. Simultaneous reaction and diffusion models were developed. The asymptotic limits of first and zeroth order in Michaelis and Menten kinetics was used in the study. Parabolic Fick diffusion and hyperbolic damped wave diffusion were studied separately. Method of relativistic transformation was used in order to obtain the solution for the hyperbolic model. Model solutions was used to obtain mass inertial times. Convective boundary condition was used. Sharma number (mass) may be used in evaluating the importance of the damped wave diffusion process in relation to other processes such as convection, Fick steady diffusion in the given application. Four regimes can be identified in the solution of hyperbolic damped wave diffusion model. These are;1) Zero Transfer Inertial Regime, 0 0≤τ≤τinertia;2) Rising Regime during times greater than inertial regime and less than at the wave front, Xp > τ, 3) at Wave front , τ = Xp;4) Falling Regime in open Interval, of times greater than at the wave front, τ > Xp. Method of superposition of steady state concentration and transient concentration used in both solutions of parabolic and hyperbolic models. Expression for steady state concentration developed. Closed form analytic model solutions developed in asymptotic limits of Michaelis and Menten kinetic at zeroth order and first order. Expression for Penetration Length Derived-Hypoxia Explained. Expression for Inertial Lag Time Derived. Solution was obtained by the method of separation of variables for transient for parabolic model and by the method of relativistic transformation for hyperbolic models. The concentration profile was expressed as a sum of steadty state and transient parts. 展开更多
关键词 C Type I Diabetes Simultaneous Reaction and DIFFUSION Michaelis and Menten Kinetics DAMPED WAVE DIFFUSION Relativistic Transformation hyperbolic modelS PARABOLIC modelS ISLETS of Langerhans
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EXISTENCE OF GENERALIZED SOLUTIONS TO A HYPERBOLIC MODEL OF COMBUSTION
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作者 陆云光 胡家信 《Acta Mathematica Scientia》 SCIE CSCD 1993年第2期195-201,共7页
In this paper we obtain the existence of the generalized solutions to the Cauchy problem for a model of combustion provided that the function f is of nonconvexity and initial values lie in the bounded, measurable class.
关键词 EXISTENCE OF GENERALIZED SOLUTIONS TO A hyperbolic model OF COMBUSTION
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Optimized Non-hyperbolic Stack Imaging Based on Interpretation Model
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作者 Song Wei Wang Shangxu 《Petroleum Science》 SCIE CAS CSCD 2007年第4期50-55,共6页
In complex media, especially for seismic prospecting in deep layers in East China and in the mountainous area in West China, due to the complex geological condition, the common-mid-point (CMP) gather of deep reflect... In complex media, especially for seismic prospecting in deep layers in East China and in the mountainous area in West China, due to the complex geological condition, the common-mid-point (CMP) gather of deep reflection event is neither hyperbolic, nor any simple function. If traditional normal move-out (NMO) and stack imaging technology are still used, it is difficult to get a clear stack image. Based on previous techniques on non-hyperbolic stack, it is thought in this paper that no matter how complex the geological condition is, in order to get an optimized stack image, the stack should be non time move-out stack, and any stacking method limited to some kind of curve will be restricted to application conditions. In order to overcome the above-mentioned limit, a new method called optimized non-hyperbolic stack imaging based on interpretation model is presented in this paper. Based on CMP/CRP (Common-Reflection-Point) gather after NMO or pre-stack migration, this method uses the interpretation model of reflectors as constraint, and takes comparability as a distinguishing criterion, and finally forms a residual move-out correction for the gather of constrained model. Numerical simulation indicates that this method could overcome the non hyperbolic problem and get fine stack image. 展开更多
关键词 Non-hyperbolic interpretation model stack imaging
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Qualitative Properties of Equilibrium Point in a Discrete Predator-Prey Model
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作者 Weijie Lin Minhong Yang +2 位作者 Chenhao Sun Kaiwen Guan Xiaoliang Zhou 《Journal of Applied Mathematics and Physics》 2024年第8期2920-2927,共8页
In this paper, the dynamic properties of a discrete predator-prey model are discussed. The properties of non-hyperbolic fixed points and hyperbolic fixed points of the model are analyzed. First, by using the classic S... In this paper, the dynamic properties of a discrete predator-prey model are discussed. The properties of non-hyperbolic fixed points and hyperbolic fixed points of the model are analyzed. First, by using the classic Shengjin formula, we find the existence conditions for fixed points of the model. Then, by using the qualitative theory of ordinary differential equations and matrix theory we indicate which points are hyperbolic and which are non-hyperbolic and the associated conditions. 展开更多
关键词 Discrete Predator-Prey model Non-hyperbolic Fixed Point NODE Saddle Point
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Hyperbolic Mild Slope Equations with Inclusion of Amplitude Dispersion Effect:Regular Waves 被引量:4
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作者 金红 邹志利 《China Ocean Engineering》 SCIE EI 2008年第3期431-444,共14页
A new form of hyperbolic mild slope equations is derived with the inclusion of the amphtude dispersion of nonlinear waves. The effects of including the amplitude dispersion effect on the wave propagation are discussed... A new form of hyperbolic mild slope equations is derived with the inclusion of the amphtude dispersion of nonlinear waves. The effects of including the amplitude dispersion effect on the wave propagation are discussed. Wave breaking mechanism is incorporated into the present model to apply the new equations to surf zone. The equations are solved nu- merically for regular wave propagation over a shoal and in surf zone, and a comparison is made against measurements. It is found that the inclusion of the amplitude dispersion can also improve model' s performance on prediction of wave heights around breaking point for the wave motions in surf zone. 展开更多
关键词 mild slope equation hyperbolic model nonlinear waves breaking waves
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Hyperbolic Mild Slope Equations with Inclusion of Amplitude Dispersion Effect:Random Waves 被引量:2
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作者 邹志利 金红 《China Ocean Engineering》 SCIE EI 2008年第4期595-610,共16页
New hyperbolic mild slope equations for random waves are developed with the inclusion of amplitude dispersion. The frequency perturbation around the peak frequency of random waves is adopted to extend the equations fo... New hyperbolic mild slope equations for random waves are developed with the inclusion of amplitude dispersion. The frequency perturbation around the peak frequency of random waves is adopted to extend the equations for regular waves to random waves. The nonlinear effect of amplitude dispersion is incorporated approximately into the model by only considering the nonlinear effect on the carrier waves of random waves, which is done by introducing a representative wave amplitude for the carrier waves. The computation time is gready saved by the introduction of the representative wave amplitude. The extension of the present model to breaking waves is also considered in order to apply the new equations to surf zone. The model is validated for random waves propagate over a shoal and in surf zone against measurements. 展开更多
关键词 mild slope equations hyperbolic model random waves nonlinear wave
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SOLVABILITY OF A PARABOLIC-HYPERBOLIC TYPE CHEMOTAXIS SYSTEM IN 1-DIMENSIONAL DOMAIN 被引量:6
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作者 陈化 吕文斌 吴少华 《Acta Mathematica Scientia》 SCIE CSCD 2016年第5期1285-1304,共20页
In this paper, we use contraction mapping principle, operator-theoretic approach and some uniform estimates to establish local solvability of the parabolic-hyperbolic type chemotaxis system with fixed boundary in 1-di... In this paper, we use contraction mapping principle, operator-theoretic approach and some uniform estimates to establish local solvability of the parabolic-hyperbolic type chemotaxis system with fixed boundary in 1-dimensional domain. In addition, local solvability of the free boundary problem is considered by straightening the free boundary. 展开更多
关键词 parabolic-hyperbolic system free boundary chemotaxis model local existence
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Sample-data Decentralized Reliable H∞ Hyperbolic Control for Uncertain Fuzzy Large-scale Systems with Time-varying Delay 被引量:2
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作者 LIU Xin-Rui ZHANG Hua-Guang 《自动化学报》 EI CSCD 北大核心 2009年第12期1534-1540,共7页
这份报纸学习样品数据的问题为有变化时间的延期的不明确的连续时间的模糊大规模系统的可靠 H 夸张控制。第一,模糊夸张模型( FHM )被用来为某些复杂大规模系统建立模型,然后根据 Lyapunov 指导方法和大规模系统的分散的控制理论,线... 这份报纸学习样品数据的问题为有变化时间的延期的不明确的连续时间的模糊大规模系统的可靠 H 夸张控制。第一,模糊夸张模型( FHM )被用来为某些复杂大规模系统建立模型,然后根据 Lyapunov 指导方法和大规模系统的分散的控制理论,线性 matrixine 质量( LMI )基于条件 arederived toguarantee H 性能不仅当所有控制部件正在操作很好时,而且面对一些可能的致动器失败。而且,致动器的精确失败参数没被要求,并且要求仅仅是失败参数的更低、上面的界限。条件依赖于时间延期的上面的界限,并且不依赖于变化时间的延期的衍生物。因此,获得的结果是不太保守的。最后,二个例子被提供说明设计过程和它的有效性。 展开更多
关键词 模糊双曲模型 线性矩阵不等式 分散控制理论 执行器
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Intelligent Construction Technology of Hyperbolic Curtain Wall
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作者 Tong Lu Shuai Wang +3 位作者 Ke-yang Wu Li Wang Chen Liu Wei Yang 《Journal of World Architecture》 2022年第4期76-82,共7页
Taking the hyperbolic glass curtain wall project of the Wuhan Jinyinhu Commercial Plaza as an example,the characteristics of different curved glass forming technologies were analyzed in this paper.Combined with the ac... Taking the hyperbolic glass curtain wall project of the Wuhan Jinyinhu Commercial Plaza as an example,the characteristics of different curved glass forming technologies were analyzed in this paper.Combined with the actual engineering situation,the curved steel process is selected to produce the hyperbolic glass curtain wall,and the application of BIM technology in the quality control of hyperbolic glass curtain wall in the production process was analyzed,and the effects of heating condition,bending time,cooling condition,and bending tempering error in the manufacturing accuracy of the curved glass curtain wall were studied,in hope that this project can provide practical reference for similar curtain wall design construction in the future. 展开更多
关键词 hyperbolic curtain wall Bending process Building information model Construction technology
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Lecture Notes of Mobuis Transformation in Hyperbolic Plane
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作者 Rania B.M.Amer 《Applied Mathematics》 2014年第15期2216-2225,共10页
In this paper, I have provided a brief introduction on M?bius transformation and explored some basic properties of this kind of transformation. For instance, M?bius transformation is classified according to the invari... In this paper, I have provided a brief introduction on M?bius transformation and explored some basic properties of this kind of transformation. For instance, M?bius transformation is classified according to the invariant points. Moreover, we can see that M?bius transformation is hyperbolic isometries that form a group action PSL (2, R) on the upper half plane model. 展开更多
关键词 The Upper Half-Plane model Mobius Transformation hyperbolic Distance Fixed Points The Group PSL(2 R)
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超临界CO_(2)管道止裂韧性预测模型研究 被引量:1
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作者 曹宇光 甄莹 +2 位作者 刘媛媛 张振永 白芳 《石油机械》 北大核心 2024年第7期28-35,共8页
碳中和目标下,超临界态CO_(2)管道输送已成为碳捕集利用与封存(CCUS)技术发展的必然趋势。然而,目前超临界CO_(2)管道止裂控制体系尚未构建,管材止裂韧性难以预测,成为限制其广泛应用的瓶颈问题之一。针对该问题,通过归纳国内外相关文... 碳中和目标下,超临界态CO_(2)管道输送已成为碳捕集利用与封存(CCUS)技术发展的必然趋势。然而,目前超临界CO_(2)管道止裂控制体系尚未构建,管材止裂韧性难以预测,成为限制其广泛应用的瓶颈问题之一。针对该问题,通过归纳国内外相关文献及规范标准,对超临界CO_(2)管道止裂控制研究进展及最新标准体系进行了简要综述;在系统收集已开展CO_(2)管道全尺寸爆破试验信息及数据的基础上,对现有止裂韧性预测模型适用性进行了讨论,由此确定了CO_(2)管道止裂韧性预测模型修正形式,并对不同模型适用范围及预测结果进行了讨论。研究结果表明,建立的修正模型解决了传统止裂预测模型过于激进的问题,同时降低了DNV推荐方法的保守性。建议将修正模型与DNN预测方法相结合,以使管材韧性值处于止裂区域;同时开展高效准确的CO_(2)管道裂纹动态扩展数值模拟。所得结果可为我国CO_(2)管道止裂设计提供指导。 展开更多
关键词 超临界CO_(2) 管道输送 延性断裂 双曲线模型 断裂 韧性 夏比冲击功 止裂控制
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红层泥岩填料的力学特性及本构模型研究
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作者 余云燕 崔文豪 +2 位作者 罗崇亮 杜乾中 李盛 《地震工程学报》 CSCD 北大核心 2024年第1期1-9,共9页
在红层泥岩地区进行道路工程施工时,考虑到材料短缺和成本问题,常常采用就地取材的方式作为路基填料。为了研究红层泥岩填料的适用性,选取甘肃省永登县某工点的风化红层泥岩填料为研究对象,在室内开展一系列三轴CU剪切试验,探究含水率... 在红层泥岩地区进行道路工程施工时,考虑到材料短缺和成本问题,常常采用就地取材的方式作为路基填料。为了研究红层泥岩填料的适用性,选取甘肃省永登县某工点的风化红层泥岩填料为研究对象,在室内开展一系列三轴CU剪切试验,探究含水率、围压和压实度对应力-应变曲线、峰值(残余)强度、抗剪强度指标的影响,并对不同类型的应力-应变曲线,分别采用相应的模型进行拟合。研究结果表明:含水率、围压和压实度对其物理力学特性具有显著影响;对符合应变软化型规律的曲线,采用沈珠江的双曲线模型拟合的规律一般;对符合应变硬化型规律的曲线,采用Duncan-Chang模型拟合的规律较好。研究结果可以为甘肃省红层泥岩路基的病害处治与维修提供参考依据。 展开更多
关键词 道路工程 红层泥岩填料 三轴CU剪切试验 沈珠江推广双曲线模型 DUNCAN-CHANG模型
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双曲抛物面在建筑造型设计中的文化表达
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作者 夏霞 《城市建筑》 2024年第11期157-160,172,共5页
双曲抛物面具有良好的结构受力性能与优美的曲面形态,是建筑设计中常用的造型曲面。随着社会、经济、文化的发展,以及数字技术的进步,建筑设计中对双曲抛物面的运用得到空前发展。文章以双曲抛物面在建筑设计中运用的大量案例,探讨双曲... 双曲抛物面具有良好的结构受力性能与优美的曲面形态,是建筑设计中常用的造型曲面。随着社会、经济、文化的发展,以及数字技术的进步,建筑设计中对双曲抛物面的运用得到空前发展。文章以双曲抛物面在建筑设计中运用的大量案例,探讨双曲抛物面在体育文化承载、地域文化融合、城市历史文化传承与科技文化展现上充满张力和动感艺术特性的文化表达。 展开更多
关键词 双曲抛物面 建筑 造型设计 文化表达
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非线性块系岩体动力响应及在巷道防冲支护中的应用 被引量:3
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作者 姜宽 戚承志 《力学学报》 EI CAS CSCD 北大核心 2024年第4期1057-1067,共11页
随着煤矿开采深度的增加,冲击地压灾害日趋严重,亟需采用新方法、新理论加以防治.摆型波是在深部岩体工程中发现的新型非线性波,其使岩体出现相对分离和相对压实的不同运动状态,与冲击地压灾害的发生密切相关.针对岩体中软弱结构层的非... 随着煤矿开采深度的增加,冲击地压灾害日趋严重,亟需采用新方法、新理论加以防治.摆型波是在深部岩体工程中发现的新型非线性波,其使岩体出现相对分离和相对压实的不同运动状态,与冲击地压灾害的发生密切相关.针对岩体中软弱结构层的非线性变形特征,引入双曲线模型建立块系岩体中摆型波传播的非线性动力模型,研究软弱层的物理力学性质(最大闭合量、初始刚度和阻尼)对块系岩体动力响应的影响.进一步,基于块系围岩与支护系统互馈作用的理论模型,在无初始地应力和考虑初始地应力的情况下研究巷道支护系统的刚度、让位能力和阻尼耗能作用对巷道顶板动力响应的影响,分析支护系统的受力情况,为新型防冲吸能巷道液压支架设备的吸能让位行为提供理论依据.研究结果表明:基于双曲线模型建立的块系岩体的非线性动力模型能够限制岩块间软弱层的最大变形量.冲击载荷越大,增大软弱层最大闭合量时岩块的加速度降低程度越显著.增加支护系统刚度,增强支护系统让位能力和阻尼耗能能力,均可有效降低巷道顶板的加速度幅值,减轻巷道围岩对支护系统的冲击力,有效保护巷道结构. 展开更多
关键词 块系岩体 摆型波 双曲线模型 冲击地压 巷道支护 初始地应力
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求解双曲型方程的半离散卷积神经网络算法
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作者 汪浏博 郑素佩 +1 位作者 张蕊 封建湖 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2024年第6期724-731,共8页
双曲守恒律方程的间断解对数值算法要求严格。通常传统低阶数值算法构造简单,但数值结果的分辨率较低,且依赖于网格。机器学习方法虽不依赖于网格,且适用于处理复杂场景下的问题(如高维问题),但在求间断解时可能出现移位或抹平现象。将... 双曲守恒律方程的间断解对数值算法要求严格。通常传统低阶数值算法构造简单,但数值结果的分辨率较低,且依赖于网格。机器学习方法虽不依赖于网格,且适用于处理复杂场景下的问题(如高维问题),但在求间断解时可能出现移位或抹平现象。将机器学习方法与传统低阶格式相结合,在空间上采用低阶有限体积格式,在权重系数优化上采用卷积神经网络,从而实现基于较少节点便可得到高分辨率数值结果。数值算例验证了算法的性能,在求解连续及间断问题时均能得到高分辨率数值结果,且未出现移位、抹平现象。 展开更多
关键词 双曲守恒律方程 有限体积法 卷积神经网络模型
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