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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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Qualitative methods in bifurcation theory [PDF]
Bulletin of the American Mathematical Society, 1978 No abstract.
Jerrold E. Marsden
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Banach space bifurcation theory [PDF]
Transactions of the American Mathematical Society, 1972 We consider the bifurcation problem for the nonlinear operator equation x = λ L x + T ( λ , x , y ) x = \lambda Lx + T(\lambda ,x,y) in a real Banach space X X .
David Westreich
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Semiclassical catastrophe theory of simple bifurcations [PDF]
Phys. Rev. E 96, 042206 (2017), 2017 The Fedoriuk-Maslov catastrophe theory of caustics and turning points is extended to solve the bifurcation problems by the improved stationary phase method (ISPM). The trace formulas for the radial power-law (RPL) potentials are presented by the ISPM based on the second- and third-order expansion of the classical action near the stationary point.
A. G. Magner, Ken-ichiro Arita
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Bifurcation theory and localization phenomena [PDF]
European Journal of Environmental and Civil engineering, 2010 ABSTRACT The principles of strain localization analysis as applied to geomaterials are presented. Emphasis is given to the effects of fluid and temperature in the occurrence and development of instabilities.
Jean Sulem
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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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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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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, 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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