云南高校图书馆联盟文献共享服务平台- BIFURCATIONS

BIFURCATIONS: 作品数：178被引量：216H指数：8; 导出分析报告; 相关领域：理学更多>>; 相关作者：李继彬韩茂安叶彦谦刘正荣更多>>; 相关机构：上海交通大学南京大学云南大学昆明理工大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划宁波市自然科学基金更多>>

Bifurcations and Spatiotemporal Patterns in the Diffusive Nutrient-Microor ganism Model: 《Acta Mathematicae Applicatae Sinica》2025年第1期162-178,共17页Ya-di WANG Hai-long YUAN Yan-ling LI; supported by the Natural Science Foundation of China(No.11901370,11771262);by the Natural Science Basic Research Plan in Shannxi Province(2019JQ-516);by the Natural Science Foundation of Shaanxi Provincial Department of Education grant(19JK0142);by the Natural Science Foundation of China(2019M653578);by the Shaanxi Provincial Science and Technology Association Talents Promotion Project(20200508).; In this paper,the diffusive nutrient-microorganism model subject to Neumann boundary conditions is considered.The Hopf bifurcations and steady state bifurcations which bifurcate from the positive constant equilibrium ...; 关键词：nutrient-microorganism model Hopf bifurcation steady state bifurcation simulations

Bifurcations and steady states of a predator-prey model with strong Allee and fear effects: 《International Journal of Biomathematics》2024年第7期143-185,共43页Mengxin Chen Xuezhi Li Ranchao Wu; supported by the National Natural Science Foundation of China(Nos.11971032 and 12271143);the China Postdoctoral Science Foundation(No.2021M701118).; In this paper,the predator-prey model with strong Allee and fear effects is considered.The existence of the equilibria and their stability are established.Especially it is found that there is an interesting degenerate...; 关键词：Predator-prey model BIFURCATION fear effect Allee effect

Fractional order prey-predator model incorporating immigration on prey:Complexity analysis and its control: 《International Journal of Biomathematics》2024年第5期285-317,共33页Md.Jasim Uddin Chandra Nath Podder; In this paper,the Caputo fractional derivative is assumed to be the prey-predator model.In order to create Caputo fractional differential equations for the prey-predator model,a discretization process is first used.Th...; 关键词：Prey-predator model Caputo fractional derivative Flip and Neimark-Sacker(NS)bifurcations IMMIGRATION chaos control numerical simulation

Bifurcations, Analytical and Non-Analytical Traveling Wave Solutions of (2 + 1)-Dimensional Nonlinear Dispersive Boussinesq Equation: 《Applied Mathematics》2024年第8期543-567,共25页Dahe Feng Jibin Li Airen Zhou; For the (2 + 1)-dimensional nonlinear dispersive Boussinesq equation, by using the bifurcation theory of planar dynamical systems to study its corresponding traveling wave system, the bifurcations and phase portraits ...; 关键词：(2 + 1)-Dimensional Nonlinear Dispersive Boussinesq Equation BIFURCATIONS Phase Portrait Analytical Periodic Wave Solution Periodic Cusp Wave Solution

具有食饵避难所的离散捕食者-食饵模型的余维二分支分析: 《Chinese Quarterly Journal of Mathematics》2024年第2期128-143,共16页庞茹一陈巧玲; Supported by the National Natural Science Foundation of China(Grant No.12271421);The Shaanxi Province Innovation Talent Promotion Plan Project(Grant No.2023KJXX-056).; In this paper,a discrete predator-prey model with prey refuge is investigated.It is proved that the model undergoes codimension-2 bifurcations associated with 1:2 and 1:3 resonances.The bifurcation diagrams and phase ...; 关键词：REFUGE Discrete predator-prey model Codimension-2 bifurcations CHAOS

THE LIMIT CYCLE BIFURCATIONS OF A WHIRLING PENDULUM WITH PIECEWISE SMOOTH PERTURBATIONS: 《Acta Mathematica Scientia》2024年第3期1115-1144,共30页杨纪华; supported by the Natural Science Foundation of Ningxia(2022AAC05044);the National Natural Science Foundation of China(12161069)。; This paper deals with the problem of limit cycles for the whirling pendulum equation x=y,y=sin x(cosx-r)under piecewise smooth perturbations of polynomials of cos x,sin x and y of degree n with the switching line x=0....; 关键词：whirling pendulum limit cycle Melnikov function Picard-Fuchs equation Chebyshev system

Bifurcations,chaos analysis and control in a discrete predator-prey model with mixed functional responses: 《International Journal of Biomathematics》2024年第3期185-210,共26页Yajie Sun Ming Zhao Yunfei Du; supported by the National Natural Science Foundation of China(No.12001503);the Project of Beijing Municipal Commission of Education(KM 202110015001)。; Many discrete systems have more distinctive dynamical behaviors compared to continuous ones,which has led lots of researchers to investigate them.The discrete predatorprey model with two different functional responses...; 关键词：Predator-prey model flip bifurcation Neimark-Sacker bifurcation Marotto's chaos chaos control

Bifurcation Analysis Reveals Solution Structures of Phase Field Models: 《Communications on Applied Mathematics and Computation》2024年第1期64-89,共26页Xinyue Evelyn Zhao Long-Qing Chen Wenrui Hao Yanxiang Zhao; supported as part of the Computational Materials Sciences Program funded by the U.S.Department of Energy,Office of Science,Basic Energy Sciences,under Award No.DE-SC0020145;Y.Z.would like to acknowledge support for his effort by the Simons Foundation through Grant No.357963 and NSF grant DMS-2142500.; The phase field method is playing an increasingly important role in understanding and predicting morphological evolution in materials and biological systems.Here,we develop a new analytical approach based on the bifur...; 关键词：Phase field modeling BIFURCATIONS Multiple solutions

Solitons and Bifurcations for the Generalized Tzitzéica Type Equation in Nonlinear Fiber Optics: 《Journal of Applied Mathematics and Physics》2023年第10期3042-3060,共19页Xujie Jiang; Solitons and bifurcations for the generalized Tzitzéica type equation are studied by using the theory of dynamical systems and Hamilton function. With the help of Maple and bifurcation theory of differential equation...; 关键词：Generalized Tzitzéica Type Equation Homoclinic Orbit Periodic Wave Solution Bright Soliton Dark Soliton

The productivity of two serial chemostats: 《International Journal of Biomathematics》2023年第6期57-111,共55页Manel Dali-Youcef Tewfik Sari; This paper considers the production of biomass of two interconnected chemostats in series with biomass mortality and a growth kinetic of the biomass described by an increasing function.A comparison is made with the pr...; 关键词：CHEMOSTAT gradostat mortality BIFURCATIONS global stability operating diagram biomass productivity

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