期刊文献+
共找到2,394篇文章
< 1 2 120 >
每页显示 20 50 100
Anti-control of Hopf Bifurcation in a Delayed Predator-prey Gompertz Model
1
作者 XU Chang-jin CHEN Da-xue 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第4期475-484,共10页
A delayed predator-prey Gompertz model is investigated. The stability is analyzed. Anti-control of Hopf bifurcation for the model is presented. Numerical simulations are performed to confirm that the new feedback cont... A delayed predator-prey Gompertz model is investigated. The stability is analyzed. Anti-control of Hopf bifurcation for the model is presented. Numerical simulations are performed to confirm that the new feedback controller using time delay is efficient in creating Hopf bifurcation. Finally, main conclusions are included. 展开更多
关键词 predator-prey model stability hopf bifurcation delay anti-control
下载PDF
Mechanism analysis of regulating Turing instability and Hopf bifurcation of malware propagation in mobile wireless sensor networks
2
作者 黄习习 肖敏 +3 位作者 Leszek Rutkowski 包海波 黄霞 曹进德 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第6期125-140,共16页
A dynamical model is constructed to depict the spatial-temporal evolution of malware in mobile wireless sensor networks(MWSNs). Based on such a model, we design a hybrid control scheme combining parameter perturbation... A dynamical model is constructed to depict the spatial-temporal evolution of malware in mobile wireless sensor networks(MWSNs). Based on such a model, we design a hybrid control scheme combining parameter perturbation and state feedback to effectively manipulate the spatiotemporal dynamics of malware propagation. The hybrid control can not only suppress the Turing instability caused by diffusion factor but can also adjust the occurrence of Hopf bifurcation induced by time delay. Numerical simulation results show that the hybrid control strategy can efficiently manipulate the transmission dynamics to achieve our expected desired properties, thus reducing the harm of malware propagation to MWSNs. 展开更多
关键词 mobile wireless sensor networks REACTION-DIFFUSION hopf bifurcation hybrid control
下载PDF
Generalized Hopf Bifurcation in a Delay Model of Neutrophil Cells Model
3
作者 Suqi Ma S. J. Hogan 《International Journal of Modern Nonlinear Theory and Application》 2024年第2期11-28,共18页
The DDE-Biftool software is applied to solve the dynamical stability and bifurcation problem of the neutrophil cells model. Based on Hopf point finding with the stability property of the equilibrium solution loss, the... The DDE-Biftool software is applied to solve the dynamical stability and bifurcation problem of the neutrophil cells model. Based on Hopf point finding with the stability property of the equilibrium solution loss, the continuation of the bifurcating periodical solution starting from Hopf point is exploited. The generalized Hopf point is tracked by seeking for the critical value of free parameter of the switching phenomena of the open loop, which describes the lineup of bifurcating periodical solutions from Hopf point. The normal form near the generalized Hopf point is computed by Lyapunov-Schimdt reduction scheme combined with the center manifold analytical technique. The near dynamics is classified by geometrically different topological phase portraits. 展开更多
关键词 Generalized hopf bifurcation DDE-Biftool Software Norm Form
下载PDF
Bifurcation analysis and control study of improved full-speed differential model in connected vehicle environment
4
作者 艾文欢 雷正清 +2 位作者 李丹洋 方栋梁 刘大为 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第7期245-266,共22页
In recent years, the traffic congestion problem has become more and more serious, and the research on traffic system control has become a new hot spot. Studying the bifurcation characteristics of traffic flow systems ... In recent years, the traffic congestion problem has become more and more serious, and the research on traffic system control has become a new hot spot. Studying the bifurcation characteristics of traffic flow systems and designing control schemes for unstable pivots can alleviate the traffic congestion problem from a new perspective. In this work, the full-speed differential model considering the vehicle network environment is improved in order to adjust the traffic flow from the perspective of bifurcation control, the existence conditions of Hopf bifurcation and saddle-node bifurcation in the model are proved theoretically, and the stability mutation point for the stability of the transportation system is found. For the unstable bifurcation point, a nonlinear system feedback controller is designed by using Chebyshev polynomial approximation and stochastic feedback control method. The advancement, postponement, and elimination of Hopf bifurcation are achieved without changing the system equilibrium point, and the mutation behavior of the transportation system is controlled so as to alleviate the traffic congestion. The changes in the stability of complex traffic systems are explained through the bifurcation analysis, which can better capture the characteristics of the traffic flow. By adjusting the control parameters in the feedback controllers, the influence of the boundary conditions on the stability of the traffic system is adequately described, and the effects of the unstable focuses and saddle points on the system are suppressed to slow down the traffic flow. In addition, the unstable bifurcation points can be eliminated and the Hopf bifurcation can be controlled to advance, delay, and disappear,so as to realize the control of the stability behavior of the traffic system, which can help to alleviate the traffic congestion and describe the actual traffic phenomena as well. 展开更多
关键词 bifurcation analysis vehicle queuing bifurcation control hopf bifurcation
下载PDF
Bifurcation and Turing Pattern Formation in a Diffusion Modified Leslie-Gower Predator-Prey Model with Crowley-Martin Functional Response
5
作者 Dong Wang Yani Ma 《Journal of Applied Mathematics and Physics》 2024年第6期2190-2211,共22页
In this paper, we study a modified Leslie-Gower predator-prey model with Smith growth subject to homogeneous Neumann boundary condition, in which the functional response is the Crowley-Martin functional response term.... In this paper, we study a modified Leslie-Gower predator-prey model with Smith growth subject to homogeneous Neumann boundary condition, in which the functional response is the Crowley-Martin functional response term. Firstly, for ODE model, the local stability of equilibrium point is given. And by using bifurcation theory and selecting suitable bifurcation parameters, we find many kinds of bifurcation phenomena, including Transcritical bifurcation and Hopf bifurcation. For the reaction-diffusion model, we find that Turing instability occurs. Besides, it is proved that Hopf bifurcation exists in the model. Finally, numerical simulations are presented to verify and illustrate the theoretical results. 展开更多
关键词 Modified Leslie-Gower Model Crowley-Martin Function Response hopf bifurcation Transcritical bifurcation Turing Instability
下载PDF
Hopf bifurcation and phase synchronization in memristor-coupled Hindmarsh–Rose and FitzHugh–Nagumo neurons with two time delays
6
作者 郭展宏 李志军 +1 位作者 王梦蛟 马铭磷 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第3期594-607,共14页
A memristor-coupled heterogenous neural network consisting of two-dimensional(2D)FitzHugh–Nagumo(FHN)and Hindmarsh–Rose(HR)neurons with two time delays is established.Taking the time delays as the control parameters... A memristor-coupled heterogenous neural network consisting of two-dimensional(2D)FitzHugh–Nagumo(FHN)and Hindmarsh–Rose(HR)neurons with two time delays is established.Taking the time delays as the control parameters,the existence of Hopf bifurcation near the stable equilibrium point in four cases is derived theoretically,and the validity of the Hopf bifurcation condition is verified by numerical analysis.The results show that the two time delays can make the stable equilibrium point unstable,thus leading to periodic oscillations induced by Hopf bifurcation.Furthermore,the time delays in FHN and HR neurons have different effects on the firing activity of neural network.Complex firing patterns,such as quiescent state,chaotic spiking,and periodic spiking can be induced by the time delay in FHN neuron,while the neural network only exhibits quiescent state and periodic spiking with the change of the time delay in HR neuron.Especially,phase synchronization between the heterogeneous neurons is explored,and the results show that the time delay in HR neurons has a greater effect on blocking the synchronization than the time delay in FHN neuron.Finally,the theoretical analysis is verified by circuit simulations. 展开更多
关键词 MEMRISTOR time delay heterogeneous neurons hopf bifurcation phase synchronization
下载PDF
Hopf bifurcation of nonlinear system with multisource stochastic factors
7
作者 Xinyu Bai Shaojuan Ma +1 位作者 Qianling Zhang Qiyi Liu 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2023年第2期93-97,共5页
The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter.Firstly,the nonlinear system with multisource stochastic fac-tors is red... The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter.Firstly,the nonlinear system with multisource stochastic fac-tors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal decomposi-tion method and the Karhunen-Loeve(K-L)decomposition theory.Secondly,the critical conditions about the Hopf bifurcation of the equivalent deterministic system are obtained.At the same time the influence of multisource stochastic factors on the Hopf bifurcation for the proposed system is explored.Finally,the theorical results are verified by the numerical simulations. 展开更多
关键词 Multisource stochastic factors Gaussian white noise K-L decomposition hopf bifurcation Random parameter
下载PDF
Existence of Supercritical Hopf Bifurcation on a Type-Lorenz System
8
作者 Evodio Muñoz-Aguirre Jorge Alvarez-Mena +2 位作者 Pablo Emilio Calderón-Saavedra Josué Ramírez-Ortega Francisco Gabriel Hernández-Zamora 《Journal of Applied Mathematics and Physics》 2023年第3期780-789,共10页
In this paper, a system of Lorenz-type ordinary differential equations is considered and, under some assumptions about the parameter space, the presence of the supercritical non-degenerate Hopf bifurcation is demonstr... In this paper, a system of Lorenz-type ordinary differential equations is considered and, under some assumptions about the parameter space, the presence of the supercritical non-degenerate Hopf bifurcation is demonstrated. The technical tool used consists of the Central Manifold theorem, a well-known formula to calculate the Lyapunov coefficient and Hopf’s Theorem. For particular values of the parameters in the parameter space established in the main result of this work, a graph is presented that describes the evolution of the trajectories, obtained by means of numerical simulation. 展开更多
关键词 Lorenz-Type System Subcritical hopf bifurcation Supercritical hopf bifurcation hopf Theorem
下载PDF
Hopf Bifurcation of Nonresident Computer Virus Model with Age Structure and Two Delays Effects
9
作者 Yaoyu Dang Hongwu Tan Hui Cao 《Journal of Applied Mathematics and Physics》 2023年第8期2318-2342,共25页
This paper constructed and studied a nonresident computer virus model with age structure and two delays effects. The non-negativity and boundedness of the solution of the model have been discussed, and then gave the b... This paper constructed and studied a nonresident computer virus model with age structure and two delays effects. The non-negativity and boundedness of the solution of the model have been discussed, and then gave the basic regeneration number, and obtained the conditions for the existence and the stability of the virus-free equilibrium and the computer virus equilibrium. Theoretical analysis shows the conditions under which the model undergoes Hopf bifurcation in three different cases. The numerical examples are provided to demonstrate the theoretical results. 展开更多
关键词 The Computer Virus Model AGE-STRUCTURE Two Delays Stability hopf bifurcation
下载PDF
一类浮游生物时滞模型的全局Hopf分支
10
作者 郭爽 张国辉 马丹 《大庆师范学院学报》 2024年第3期107-113,共7页
本文利用吴建宏等人建立的一般泛函微分方程的全局Hopf分支理论,以时滞为参数,研究了三维浮游时滞模型的稳定性及Hopf分支的全局存在性,通过数值模拟验证了理论分析的正确性,并得出结论,即营养物质输入率极大地影响了周期解的周期。
关键词 浮游生物模型 时滞 全局hopf分支 数值模拟
下载PDF
时滞戒毒模型的稳定性和Hopf分岔
11
作者 张子振 张怡雪 《吉首大学学报(自然科学版)》 CAS 2024年第5期1-10,共10页
研究了一类具有双线性接触率的时滞SLHMTQ戒毒模型.以吸毒者毒瘾复发的时滞为分岔参数,利用特征值法探究了模型的局部渐近稳定性和局部Hopf分岔存在性,推导出模型产生局部Hopf分岔的时滞临界值,并利用中心流形定理讨论了分岔周期解的性质.
关键词 戒毒模型 hopf分岔 时滞 双线性接触率 稳定性
下载PDF
一类考虑先天免疫和非线性治愈率的时滞传染病模型Hopf分岔
12
作者 张子振 张怡雪 《山东航空学院学报》 2024年第4期115-120,共6页
考虑到传染病流行过程中先天免疫对个体的重要性,研究了一类具有先天免疫和非线性治愈率的时滞SEIS传染病模型。以感染者恢复所需要的时间周期时滞为分岔参数,通过讨论模型特征方程根的分布情况,推导出模型局部渐近稳定和产生Hopf分岔... 考虑到传染病流行过程中先天免疫对个体的重要性,研究了一类具有先天免疫和非线性治愈率的时滞SEIS传染病模型。以感染者恢复所需要的时间周期时滞为分岔参数,通过讨论模型特征方程根的分布情况,推导出模型局部渐近稳定和产生Hopf分岔的时滞临界点。进而利用中心流形方法,计算出确定Hopf分岔性质的显式公式。研究表明,当感染者恢复所需要的时间周期时滞低于临界点时,疾病的传播可以得到有效控制。 展开更多
关键词 先天免疫 非线性治愈率 时滞 SEIS模型 hopf分岔
下载PDF
Effects of viscoelasticity on the stability and bifurcations of nonlinear energy sinks 被引量:1
13
作者 A.MOSLEMI M.R.HOMAEINEZHAD 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2023年第1期141-158,共18页
Due to the increasing use of passive absorbers to control unwanted vibrations,many studies have been done on energy absorbers ideally,but the lack of studies of real environmental conditions on these absorbers is felt... Due to the increasing use of passive absorbers to control unwanted vibrations,many studies have been done on energy absorbers ideally,but the lack of studies of real environmental conditions on these absorbers is felt.The present work investigates the effect of viscoelasticity on the stability and bifurcations of a system attached to a nonlinear energy sink(NES).In this paper,the Burgers model is assumed for the viscoelasticity in an NES,and a linear oscillator system is considered for investigating the instabilities and bifurcations.The equations of motion of the coupled system are solved by using the harmonic balance and pseudo-arc-length continuation methods.The results show that the viscoelasticity affects the frequency intervals of the Hopf and saddle-node branches,and by increasing the stiffness parameters of the viscoelasticity,the conditions of these branches occur in larger ranges of the external force amplitudes,and also reduce the frequency range of the branches.In addition,increasing the viscoelastic damping parameter has the potential to completely eliminate the instability of the system and gradually reduce the amplitude of the jump phenomenon. 展开更多
关键词 VISCOELASTICITY Burgers model nonlinear energy sink(NES) saddle-node bifurcation hopf bifurcation
下载PDF
二维具时滞捕食-食饵共生模型的Hopf分支 被引量:1
14
作者 高鹤 李秀玲 《东北师大学报(自然科学版)》 CAS 北大核心 2024年第1期23-28,共6页
利用规范型理论和中心流形定理研究了一类二维具时滞的捕食-食饵共生模型的Hopf分支.通过对特征方程的分析,给出了其平衡点的稳定性、Hopf分支的存在性以及分支方向和分支周期解的稳定性等结果,并通过数值模拟验证了所得结论的正确性.
关键词 hopf分支 时滞 捕食-食饵共生模型
下载PDF
HOPF BIFURCATION OF AN OSCILLATOR WITH QUADRATIC AND CUBIC NONLINEARITIES AND WITH DELAYED VELOCITY FEEDBACK 被引量:6
15
作者 王怀磊 王在华 胡海岩 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2004年第4期426-434,共9页
This paper studies the local dynamics of an SDOF system with quadratic and cubic stiffness terms,and with linear delayed velocity feedback.The analysis indicates that for a sufficiently large velocity feedback gain,th... This paper studies the local dynamics of an SDOF system with quadratic and cubic stiffness terms,and with linear delayed velocity feedback.The analysis indicates that for a sufficiently large velocity feedback gain,the equilibrium of the system may undergo a number of stability switches with an increase of time delay,and then becomes unstable forever.At each critical value of time delay for which the system changes its stability,a generic Hopf bifurcation occurs and a periodic motion emerges in a one-sided neighbourhood of the critical time delay.The method of Fredholm alternative is applied to determine the bifurcating periodic motions and their stability.It stresses on the effect of the system parameters on the stable regions and the amplitudes of the bifurcating periodic solutions. 展开更多
关键词 delay differential equation stability switches supercritical hopf bifurcation subcritical hopf bifurcation Fredholm alternative
下载PDF
Hopf bifurcation analysis and circuit implementation for a novel four-wing hyper-chaotic system 被引量:10
16
作者 薛薇 齐国元 +2 位作者 沐晶晶 贾红艳 郭彦岭 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第8期325-332,共8页
In the paper, a novel four-wing hyper-chaotic system is proposed and analyzed. A rare dynamic phenomenon is found that this new system with one equilibrium generates a four-wing-hyper-chaotic attractor as parameter va... In the paper, a novel four-wing hyper-chaotic system is proposed and analyzed. A rare dynamic phenomenon is found that this new system with one equilibrium generates a four-wing-hyper-chaotic attractor as parameter varies. The system has rich and complex dynamical behaviors, and it is investigated in terms of Lyapunov exponents, bifurcation diagrams, Poincare maps, frequency spectrum, and numerical simulations. In addition, the theoretical analysis shows that the system undergoes a Hopf bifurcation as one parameter varies, which is illustrated by the numerical simulation. Finally, an analog circuit is designed to implement this hyper-chaotic system. 展开更多
关键词 HYPER-CHAOS four-wing chaotic system one equilibrium hopf bifurcation circuit implementation
下载PDF
HOPF BIFURCATION OF A NONLINEAR RESTRAINED CURVED PIPE CONVEYING FLUID BY DIFFERENTIAL QUADRATURE METHOD 被引量:7
17
作者 Wang Lin Ni Qiao Huang Yuying (Department of Mechanics,Huazhong University of Science and Technology,Wuhan 430074,China) 《Acta Mechanica Solida Sinica》 SCIE EI 2003年第4期345-352,共8页
This paper proposes a new method for investigating the Hopf bifurcation of a curved pipe conveying fluid with nonlinear spring support.The nonlinear equation of motion is derived by forces equilibrium on microelement ... This paper proposes a new method for investigating the Hopf bifurcation of a curved pipe conveying fluid with nonlinear spring support.The nonlinear equation of motion is derived by forces equilibrium on microelement of the system under consideration.The spatial coordinate of the system is discretized by the differential quadrature method and then the dynamic equation is solved by the Newton-Raphson method.The numerical solutions show that the inner fluid velocity of the Hopf bifurcation point of the curved pipe varies with different values of the parameter, nonlinear spring stiffness.Based on this,the cycle and divergent motions are both found to exist at specific fluid flow velocities with a given value of the nonlinear spring stiffness.The results are useful for further study of the nonlinear dynamic mechanism of the curved fluid conveying pipe. 展开更多
关键词 curved fluid conveying pipe hopf bifurcation nonlinear vibration DQM
下载PDF
Double Hopf bifurcation of composite laminated piezoelectric plate subjected to external and internal excitations 被引量:4
18
作者 Yan ZHOU Wei ZHANG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第5期689-706,共18页
The double Hopf bifurcation of a composite laminated piezoelectric plate with combined external and internal excitations is studied. Using a multiple scale method, the average equations are obtained in two coordinates... The double Hopf bifurcation of a composite laminated piezoelectric plate with combined external and internal excitations is studied. Using a multiple scale method, the average equations are obtained in two coordinates. The bifurcation response equations of the composite laminated piezoelectric plate with the primary parameter resonance, i.e., 1:3 internal resonance, are achieved. Then, the bifurcation feature of bifurcation equations is considered using the singularity theory. A bifurcation diagram is obtained on the parameter plane. Different steady state solutions of the average equations are analyzed. By numerical simulation, periodic vibration and quasi-periodic vibration responses of the Composite laminated piezoelectric plate are obtained. 展开更多
关键词 double hopf bifurcation composite laminated piezoelectric plate periodic solution quasi-periodic solution
下载PDF
Stability and Hopf bifurcation of a nonlinear electromechanical coupling system with time delay feedback 被引量:3
19
作者 刘爽 赵双双 +1 位作者 王兆龙 李海滨 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第1期345-353,共9页
The stability and the Hopf bifurcation of a nonlinear electromechanical coupling system with time delay feedback are studied. By considering the energy in the air-gap field of the AC motor, the dynamical equation of t... The stability and the Hopf bifurcation of a nonlinear electromechanical coupling system with time delay feedback are studied. By considering the energy in the air-gap field of the AC motor, the dynamical equation of the electromechanical coupling transmission system is deduced and a time delay feedback is introduced to control the dynamic behaviors of the system. The characteristic roots and the stable regions of time delay are determined by the direct method, and the relationship between the feedback gain and the length summation of stable regions is analyzed. Choosing the time delay as a bifurcation parameter, we find that the Hopf bifurcation occurs when the time delay passes through a critical value.A formula for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is given by using the normal form method and the center manifold theorem. Numerical simulations are also performed, which confirm the analytical results. 展开更多
关键词 electromechanical coupling time delay hopf bifurcation STABILITY
下载PDF
Diffusion-driven instability and Hopf bifurcation in Brusselator system 被引量:2
20
作者 李波 王明新 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第6期825-832,共8页
The Hopfbifurcation for the Brusselator ordinary-differential-equation (ODE) model and the corresponding partial-differential-equation (PDE) model are investigated by using the Hopf bifurcation theorem. The stabil... The Hopfbifurcation for the Brusselator ordinary-differential-equation (ODE) model and the corresponding partial-differential-equation (PDE) model are investigated by using the Hopf bifurcation theorem. The stability of the Hopf bifurcation periodic solution is discussed by applying the normal form theory and the center manifold theorem. When parameters satisfy some conditions, the spatial homogenous equilibrium solution and the spatial homogenous periodic solution become unstable. Our results show that if parameters are properly chosen, Hopf bifurcation does not occur for the ODE system, but occurs for the PDE system. 展开更多
关键词 Brusselator system hopf bifurcation stability diffusion-driven hopf bifurcation
下载PDF
上一页 1 2 120 下一页 到第
使用帮助 返回顶部