检索结果-南通市图书馆

Stability and neimark-sacker bifurcation analysis for single gene discrete system with delay

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Stability and Neimark-Sacker bifurcation analysis for single...

Stability and neimark-sacker bifurcation of Leslie-Gower Predator-Prey System with Two Delays

第37届中国控制会议

作者： Feng Liu Qicheng Mei Fenglan Sun Xinmei Wang Hua O Wang School of Automation China University of Geosciences Hubei key Laboratory of Advanced Control and Intelligent Automation for Complex Systems Research Center of System Theory and Application Chongqing University of Posts and Telecommunications Department of Mechanical Engineering Boston University

The network structure and functional properties of gene regulatory system and their relationships are an important research field in systems biology.In this paper,a new improved model is proposed based on the study of gene expression process.The model takes into account the effect of protein concentration on the gene expression,so as to obtain a new bifurcation point and improve the performance of the system.The validity of the model is verified by theoretical analysis and data simulation.

关键词： Stability neimark-sacker bifurcation single gene discrete system delay

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

Stability and Neimark-Sacker Bifurcation of Leslie-Gower Pre...

Controlling neimark-sacker bifurcation in a type of centrifugal governor system under weak impulse excitation

第三十九届中国控制会议

作者： Wei Yin Weiqi Qin Xiaowei Jiang Xiangyong Chen Ming Chi School of Automation China University of Geosciences Hubei Key Laboratory of Advanced Control and Intelligent Automation of Complex Systems Affiliated Hospital of Shandong Medical College School of Automation and Electrical Engineering Linyi University Huazhong University of Science and Technology

neimark-sacker bifurcation of a delay differential equation modeling two-enterprise interaction mechanism is investigated. For the demands of computer simulation applications, the discrete-time two-enterprise interaction model is proposed by using the forward Euler scheme. By discussing the characteristic equation of linearized part, the local stability criterion of the positive fixed point is presented. Time lag is selected as the bifurcation parameter. Then it is demonstrated that variation of time lag may result in neimark-sacker bifurcation. Furthermore, derivations for the directions and stability of neimark-sacker bifurcation are also given. Finally, we simulate the main results.

关键词： Leslie-Gower model Delay Stability neimark-sacker bifurcation

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

Controlling Neimark-Sacker bifurcation in a type of centrifu...

Complex dynamics and bifurcation analysis for a Beverton-Holt population model with Allee effect

第十五届全国非线性振动暨第十二届全国非线性动力学和运动...

作者：吕增耀 WEN Gui-lin XU Hui-dong YIN Shan State Key Laboratory of Advanced Design and Manufacture for Vehicle Body College of Mechanical and Vehicle EngineeringHunan University

The centrifugal governor plays an important role in many rotational machines such as diesel engine,steam engine and so on.In this paper,the two types of impulse excitation caused by non-smooth impact-rub of the rotor system are applied to flywheel.The feedback control problem of designing neimark-sacker bifurcation in a centrifugal governor system is addressed.A feedback control method is proposed to achieve three aspects of control objectives including existence,stability,and adjusting mean radius of cross section of the limit torus.An explicit criterion without using eigenvalue computation including eigenvalue assignment and transversality conditions is utilized to derive the linear gains responsible for control of the bifurcation existence.The center manifold theory and normal form reduction is utilized to derive the nonlinear gains responsible for control of the stability of the torus.The expression of mean radius of cross section of the limit torus is developed to derive the nonlinear gains responsible for controls of torus.Numerical simulations for a centrifugal governor system show that neimark-sacker torus with desired properties can be created at any a pre-specified parameter point.

关键词： Control of bifurcation neimark-sacker bifurcation Weak impulse excitation Centrifugal governor system

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

生物数学学报:英文版 2023年第7期16卷 165-196页

作者： Karima Mokni Mohamed Ch-Chaoui MRI Laboratory FacultéPolydisciplinaire Khouribga Sultan Moulay Slimane University BP:145 Khouribga Principale25000Kingdom of Morocco

In this paper,we have derived a discrete evolutionary Beverton-Holt population model.The model is built using evolutionary game theory methodology and takes into consideration the strong Allee effect related to predation saturation.We have discussed the existence of the positive fixed point and examined its asymptotic stability.Analytically,we demonstrated that the derived model exhibits neimark-sacker bifurcation when the maximal predator intensity is at lower values.All chaotic behaviors are justified numerically.Finally,to avoid these chaotic features and achieve asymptotic stability,we implement two chaos control methods.

关键词： Evolutionary game theory asymptotic stability neimark-sacker bifurcation chaos control

Complex dynamics of COVID-19 mathematical model on Erdos-Rényi network

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

生物数学学报:英文版 2023年第5期16卷 193-215页

作者： Neriman Kartal Senol Kartal Department of Science and Mathematics Education Faculty of Education Nevsehir Haci Bektas Veli University Nevsehir 50300Turkey

In this study,a conformable fractional order Lotka-Volterra predator-prey model that describes the COVID-19 dynamics is considered.By using a piecewise constant approximation,a discretization method,which transforms the conformable fractional-order differential equation into a difference equation,is introduced.Algebraic conditions for ensuring the stability of the equilibrium points of the discrete system are determined by using Schur-Cohn criterion.bifurcation analysis shows that the discrete system exhibits neimark-sacker bifurcation around the positive equilibrium point with respect to changing the parameter d and e.Maximum Lyapunov exponents show the complex dynamics of the discrete model.In addition,the COVID-19 mathematical model consisting of healthy and infected populations is also studied on the Erdos Rényi network.If the coupling strength reaches the critical value,then transition from nonchaotic to chaotic state is observed in complex dynamical networks.Finally,it has been observed that the dynamical network tends to exhibit chaotic behavior earlier when the number of nodes and edges increases.All these theoretical results are interpreted biologically and supported by numerical simulations.

关键词： Piecewise constant arguments difference equation stability neimark-sacker bifurcation complex network

Codimension-2 bifurcation in a discrete predator-prey system with constant yield predator harvesting

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

生物数学学报:英文版 2023年第5期16卷 165-191页

作者： Anuraj Singh Vijay Shankar Sharma ABV-Indian Institute of Information Technology and Management Gwalior Madhya PradeshIndia

This work investigates the bifurcation analysis in a discrete-time Leslie-Gower predatorprey model with constant yield predator harvesting.The stability analysis for the fixed points of the discretized model is shown briefy.In this study,the model undergoes codimension-1 bifurcation such as fold bifurcation(limit point),flip bifurcation(perioddoubling)and neimark-sacker bifurcation at a positive fixed point.Further,the model exhibits codimension-2 bifurcations,including Bogdanov-Takens bifurcation and generalized fip bifurcation at the fixed point.For each bifurcation,by using the critical normal form coefficient method,various critical states are calculated.To validate our analytical findings,the bifurcation curves of fixed points are drawn by using MATCONTM.The system exhibits interesting rich dynamics including limit cycles and chaos.Moreover,it has been shown that the predator harvesting may control the chaos in the system.

关键词： Flip bifurcation neimark-sacker bifurcation generalized fip bifurcation Bogdanov-Takens bifurcation harvesting

Intermittency and bifurcation in SEPICs under voltage-mode control

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics B 2010年第8期19卷 205-215页

作者：刘芳 College of Electrical and Information Engineering North China University for Nationalities

A stroboscopic map for voltage-controlled single ended primary inductor converter （SEPIC） with pulse width modulation （PWM） is presented, where low-frequency oscillating phenomena such as quasi-periodic and intermittent quasi-periodic bifurcations occurring in the system are captured by numerical and experimental methods. According to bifurcation diagrams and nonlinear dynamical theory, the characteristics of the low-frequency oscillation and the mechanism for the appearance of the low-frequency oscillation are investigated. It is shown that as the controller parameter varies, the change in the conduction mode takes place from the continuous conduction mode （CCM） under the originally stable period one and high periodic orbits to the intermittent changes between CCM and discontinuous conduction mode （DCM）, which may be related to the losing stability of the system and brought the system to exhibiting low-frequency oscillating behaviour in the time domain. Moreover, the occurrence of the intermittent quasi-periodic oscillation reflects that the system undergoes a neimark-sacker bifurcation.

关键词： low-frequency oscillation intermittency single ended primary inductor converter neimark-sacker bifurcation

Dynamics of a discrete predator-prey model with Holling-II functional response

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2021年第8期14卷 253-272页

作者： Yuqing Liu Xianyi Li Department of Big Data Science School of ScienceZhejiang University of Science and TechnologyHangzhou 310023P.R.China

In this paper,we use a semidiscretization method to derive a discrete predator–prey model with Holling type II,whose continuous version is stated in[F.Wu and Y.J.Jiao,Stability and Hopf bifurcation of a predator-prey model,Bound.Value Probl.129(2019)1–11].First,the existence and local stability of fixed points of the system are investigated by employing a key lemma.Then we obtain the sufficient conditions for the occurrence of the transcritical bifurcation and neimark–sacker bifurcation and the stability of the closed orbits bifurcated by using the Center Manifold theorem and bifurcation theory.Finally,we present numerical simulations to verify corresponding theoretical results and reveal some new dynamics.

关键词： Discrete predator-prey system semidiscretization method transcritical bifurcation neimark-sacker bifurcation

Cooperative hunting in a discrete predator-prey system

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2020年第7期13卷 133-158页

作者： Yunshyong Chow Sophia R-J.Jang Hua-Ming Wang Institute of Mathematics Academia Sinica Taipei 10617Taiwan Department of Mathematics and Statistics Texas Tech University LubbockTX 79409USA Department of Statistics Anhui Normal University Wuhu 241003AnhuiP.R.China

We propose and investigate a discrete-time predator-prey system with cooperative hunting in the predator population.The model is constructed from the classical Nicholson-Bailey host-parasitoid system with density dependent growth rate.A sufficient condition based on the model parameters for which both populations can coexist is derived,namely that the predator’s maximal reproductive number exceeds one.We study existence of interior steady states and their stability in certain parameter regimes.It is shown that the system behaves asymptotically similar to the model with no cooperative hunting if the degree of cooperation is small.Large cooperative hunting,however,may promote persistence of the predator for which the predator would otherwise go extinct if there were no cooperation.

关键词： Cooperative hunting discrete predator-prey system predator persistence neimark-sacker bifurcation