Results 11 to 20 of about 6,114,153 (354)
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 of gap solitons through catastrophe theory [PDF]
, 2001 In the theory of optical gap solitons, slowly-moving finite-amplitude Lorentzian solutions are found to mediate the transition from bright to coexistent dark-antidark solitary wave pairs when the laser frequency is detuned out of the proper edge of a ...
Claudio Conti, S. Trillo
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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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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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Aspects of bifurcation theory for piecewise-smooth, continuous systems [PDF]
, 2011 David J. W. Simpson, James D. Meiss
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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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