Results 21 to 30 of about 203,161 (272)
Nonlinear Analysis, 2022 In the present study, we deal with the stability and the onset of Hopf bifurcation of two type delayed BAM neural networks (integer-order case and fractional-order case).
Changjin Xu +7 more
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Hopf Bifurcation, Hopf-Hopf Bifurcation, and Period-Doubling Bifurcation in a Four-Species Food Web [PDF]
Mathematical Problems in Engineering, 2018 Complex dynamics of a four-species food web with two preys, one middle predator, and one top predator are investigated. Via the method of Jacobian matrix, the stability of coexisting equilibrium for all populations is determined. Based on this equilibrium, three bifurcations, i.e., Hopf bifurcation, Hopf-Hopf bifurcation, and period-doubling ...
Huayong Zhang +5 more
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Hopf Bifurcation in the presence of symmetry [PDF]
Archive for Rational Mechanics and Analysis, 1984 This note announces a Hopf-bifurcation theorem for ordinary differential equations invariant under the action of a compact symmetry group. Various applications are sketched and references to previous more special results of other authors are given. Detailed proofs and further results are to appear in a paper with the same title (in Arch. Ration.
Golubitsky, Martin, Stewart, Ian
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Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system. [PDF]
Chaos, 2018 In this paper, the dynamics of a modified Leslie-Gower predator-prey system with two delays and diffusion is considered. By calculating stability switching curves, the stability of positive equilibrium and the existence of Hopf bifurcation and double ...
Yanfei Du, Ben Niu, Junjie Wei
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Hamiltonian Hopf Bifurcation with Symmetry [PDF]
Archive for Rational Mechanics and Analysis, 2002 35 pages, 3 ...
Juan-Pablo Ortega +2 more
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Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua’s system [PDF]
Advances in Difference Equations, 2018 Abstract Based on the fact that Chua’s system is a classic model system of electronic circuits, we first present modified Chua’s system with a smooth nonlinearity, described by a cubic polynomial in this paper. Then, we explore the distribution of the equilibrium points of the modified Chua circuit system.
Yebei Liu, Junze Li, Zhouchao Wei
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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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The Hopf bifurcation with bounded noise [PDF]
Discrete & Continuous Dynamical Systems - A, 2012 We study Hopf-Andronov bifurcations in a class of random differential equations (RDEs) with bounded noise. We observe that when an ordinary differential equation that undergoes a Hopf bifurcation is subjected to bounded noise then the bifurcation that occurs involves a discontinuous change in the Minimal Forward Invariant set.
Botts, R.T., Homburg, A.J., Young, T.R.
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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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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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