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Introduction to bifurcation theory [PDF]
Reviews of Modern Physics, 1991 The theory of bifurcation from equilibria based on center-manifold reductio, and Poincare-Birkhoff normal forms is reviewed at an introductory level. Both differential equations and maps are discussed, and recent results explaining the symmetry of the ...
Crawford, J. D.
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Bifurcation Theory: A Review [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2023 Bifurcation theory is a field of mathematics that studies the qualitative changes in the behavior of a dynamical system as a parameter in the system is varied.In this ...
Salma Farris, manal Hamdi
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Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System
Mathematics, 2022 The Gierer-Meinhardt system is one of the prototypical pattern formation models. The bifurcation and pattern dynamics of a spatiotemporal discrete Gierer-Meinhardt system are investigated via the couple map lattice model (CML) method in this paper.
Biao Liu, Ranchao Wu
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Bifurcation analysis and control of the valve-controlled hydraulic cylinder system
Nonlinear Engineering, 2023 This article discusses the bifurcation analysis and control of a valve-controlled hydraulic cylinder system. The dynamic system of the valve-controlled hydraulic cylinder is established.
Han Qin, Zhang Liang
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Complexity, 2021 In this paper, a diffusion two-phytoplankton one-zooplankton model with time delay, Beddington–DeAnglis functional response, and Holling II functional response is proposed.
Xin-You Meng, Li Xiao
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Complexity, 2021 In this paper, we investigate a predator-prey system with Beddington–DeAngelis (B-D) functional response in a spatially degenerate heterogeneous environment.
Xiaozhou Feng +3 more
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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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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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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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