Results 11 to 20 of about 710,736 (219)
Hopf bifurcation analysis of Sel’kov model with time delay
Xi'an Gongcheng Daxue xuebao, 2023 The Sel’kov model with time-delay diffusion under homogeneous Neumann boundary conditions is considered. Firstly, the local asymptotically stability of the positive equilibrium point of the model is obtained by using spectral theory.
MA Yani, YUAN Hailong, WANG Yadi
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Complexity, 2021 In this paper, the influence of delayed feedback on the unified chaotic system from the Sprott C system and Yang system is studied. The Hopf bifurcation and dynamic behavior of the system are fully studied by using the central manifold theorem and ...
Huijian Zhu, Lijie Li
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Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study [PDF]
SIAM Journal on Applied Dynamical Systems, 17(4), 2784-2829 (2018), 2022 We study a homoclinic flip bifurcation of case~\textbf{C}, where a homoclinic orbit to a saddle equilibrium with real eigenvalues changes from being orientable to nonorientable. This bifurcation is of codimension two, and it is the lowest codimension for a homoclinic bifurcation of a real saddle to generate chaotic behavior in the form of (suspended ...
arxiv +1 more source
EVALUATION OF VOLTAGE STABILITY DYNAMIC LOADING MARGIN CONSIDERING THE EFFECT OF LOAD MODELS, EXCITATION SYSTEM PARAMETERS AND REACTIVE POWER GENERATION LIMITS OF GENERATORS WITH A COMBINATION METHOD [PDF]
مجله مدل سازی در مهندسی, 2010 Nowadays, Voltage stability is an important types of power system stabilities. To analysis of voltage stability, different static and dynamic boundaries such as maximum Loadability point (MLP) and bifurcation points such as saddle node bifurcation (SNB),
نیما Amjady +1 more
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Mathematics, 2022 We studied a delayed predator–prey model with diffusion and anti-predator behavior. Assume that additional food is provided for predator population. Then the stability of the positive equilibrium is considered.
Ruizhi Yang, Xiao Zhao, Yong An
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Parameterized splitting theorems and bifurcations for potential operators, Part I: Abstract theory [PDF]
, 2021 This is the first part of a series devoting to the generalizations and applications of common theorems in variational bifurcation theory. Using parameterized versions of splitting theorems in Morse theory we generalize some famous bifurcation theorems for potential operators by weakening standard assumptions on the differentiability of the involved ...
arxiv +1 more source
Hopf bifurcation analysis in a delayed model of tumor therapy with oncolytic viruses [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 The stability and Hopf bifurcation of a nonlinear mathematical model are described by the delay differential equation proposed by Wodarz for interaction between uninfected tumor cells and infected tumor cells with the virus.
N. Akbari, R. Asheghi
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Nihon Kikai Gakkai ronbunshu, 2018 To diagnose hill-top branching and multiple bifurcation, which exhibit two critical eigenvalues of the tangent stiffness matrix in stability problems, a sophisticated computational asymptotic bifurcation theory is developed.
Masato TANAKA +3 more
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Bifurcation analysis of a special delayed predator-prey model with herd behavior and prey harvesting
AIMS Mathematics, 2021 In this paper, we propose a predator-prey system with square root functional response, two delays and prey harvesting, in which an algebraic equation stands for the economic interest of the yield of the harvest effort.
Xin-You Meng, Fan-Li Meng
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Bifurcation Flight Dynamic Analysis of a Strake-Wing Micro Aerial Vehicle
Applied Sciences, 2021 Non-linear phenomena are particularly important in -flight dynamics of micro-class unmanned aerial vehicles. Susceptibility to atmospheric turbulence and high manoeuvrability of such aircraft under critical flight conditions cover non-linear aerodynamics
Mirosław Nowakowski +3 more
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