Results 21 to 30 of about 26,882 (236)
Hopf Bifurcation in the presence of symmetry [PDF]
Archive for Rational Mechanics and Analysis, 1984 Using group theoretic techniques, we obtain a generalization of the Hopf Bifurcation Theorem to differential equations with symmetry, analogous to a static bifurcation theorem of Cicogna. We discuss the stability of the bifurcating branches, and show how group theory can often simplify stability calculations.
Golubitsky, Martin, Stewart, Ian
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A model for the nonautonomous Hopf bifurcation [PDF]
Nonlinearity, 2015 Inspired by an example of Grebogi et al [1], we study a class of model systems which exhibit the full two-step scenario for the nonautonomous Hopf bifurcation, as proposed by Arnold [2]. The specific structure of these models allows a rigorous and thorough analysis of the bifurcation pattern.
V Anagnostopoulou, T Jäger, G Keller
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Hybrid control of Hopf bifurcation in a Lotka-Volterra predator-prey model with two delays
Advances in Difference Equations, 2017 In this paper, the Hopf bifurcation control for a Lotka-Volterra predator-prey model with two delays is studied by using a hybrid control strategy.
Miao Peng, Zhengdi Zhang, Xuedi Wang
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Hopf bifurcation with additive noise [PDF]
Nonlinearity, 2018 We consider the dynamics of a two-dimensional ordinary differential equation exhibiting a Hopf bifurcation subject to additive white noise and identify three dynamical phases: (I) a random attractor with uniform synchronisation of trajectories, (II) a random attractor with non-uniform synchronisation of trajectories and (III) a random attractor without
Doan, TS +3 more
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Abstract and Applied Analysis, 2013 Hopf bifurcation of a delayed predator-prey system with prey infection and the modified Leslie-Gower scheme is investigated. The conditions for the stability and existence of Hopf bifurcation of the system are obtained.
Zizhen Zhang, Huizhong Yang
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AIMS Mathematics, 2023 In our paper, a delayed diffusive phytoplankton-zooplankton-fish model with a refuge and Crowley-Martin and Holling II functional responses is established.
Ting Gao, Xinyou Meng
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Unfoldings of Singular Hopf Bifurcation [PDF]
SIAM Journal on Applied Dynamical Systems, 2012 Singular Hopf bifurcation occurs in generic families of vector-fields with two slow variables and one fast variable. Normal forms for this bifurcation depend upon several parameters, and the dynamics displayed by the normal forms is intricate. This paper analyzes a normal form for this bifurcation.
John Guckenheimer, Philipp Meerkamp
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Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system [PDF]
Nonlinear Dynamics, 2015 Agraïments: The first author is partially supported by FAPESP Grant 2013/2454-1, CAPES Grant 88881.068462/2014-01 and EU Marie-Curie IRSES Brazilian-European partnership in Dyn. Systems (FP7-PEOPLE-2012-IRSES 318999 BREUDS). Agraïments: The second author is partially supported CAPES Grant Number 88881.
Claudio Buzzi +2 more
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Controlling hopf bifurcations: Discrete-time systems
Discrete Dynamics in Nature and Society, 2000 Bifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback methodology is developed in this paper for Hopf bifurcation control for discrete-time systems. The control task can be either shifting an existing
Guanrong Chen +3 more
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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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