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Bifurcation Theory: A Review [PDF]

open access: yesAl-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
doaj   +1 more source

Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System

open access: yesMathematics, 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
doaj   +1 more source

Stability and Bifurcation for a Delayed Diffusive Two-Zooplankton One-Phytoplankton Model with Two Different Functions

open access: yesComplexity, 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
doaj   +1 more source

Bifurcation analysis and control of the valve-controlled hydraulic cylinder system

open access: yesNonlinear 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
doaj   +1 more source

Global Bifurcation Structure of a Predator-Prey System with a Spatial Degeneracy and B-D Functional Response

open access: yesComplexity, 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
doaj   +1 more source

Bifurcation results of positive solutions for an elliptic equation with nonlocal terms

open access: yesAIMS 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
doaj   +1 more source

Hopf bifurcation analysis of Sel’kov model with time delay

open access: yesXi'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
doaj   +1 more source

Delayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System

open access: yesComplexity, 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
doaj   +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]

open access: yesمجله 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
doaj   +1 more source

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