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Qualitative methods in bifurcation theory [PDF]
Bulletin of the American Mathematical Society, 1978 No abstract.
Marsden, Jerrold E.
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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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Introduction to bifurcation theory [PDF]
Reviews of Modern Physics, 1991 The theory of bifurcation from equilibria based on center-manifold reduction and Poincar\'e-Birkhoff normal forms is reviewed at an introductory level. Both differential equations and maps are discussed, and recent results explaining the symmetry of the normal form are derived.
Crawford, J. D.
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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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Bifurcation results of positive solutions for an elliptic equation with nonlocal terms
AIMS Mathematics, 2021 In this paper, we investigate the local and global nature for the connected components of positive solutions set of an elliptic equation with nonlocal terms.
Jiaqing Hu, Xian Xu , Qiangqiang Yang
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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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