Results 1 to 10 of about 203,161 (272)
A stochastic Hopf bifurcation [PDF]
Probability Theory and Related Fields, 1994 Let \(\{x_ t : t \geq 0 \}\) be the solution of a stochastic differential equation (SDE) in \(\mathbb{R}^ d\) which fixes 0, and let \(\lambda\) denote the Lyapunov exponent for the linear SDE obtained by linearizing the original SDE at 0. It is known that, under appropriate conditions, the sign of \(\lambda\) controls the stability/instability of 0 ...
Peter H. Baxendale
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Control of dynamic Hopf bifurcations [PDF]
Nonlinearity, 1999 The slow passage through a Hopf bifurcation leads to the delayed appearance of large amplitude oscillations. We construct a smooth scalar feedback control which suppresses the delay and causes the system to follow a stable equilibrium branch. This feature can be used to detect in time the loss of stability of an ageing device.
Nils Berglund
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Subcritical Hopf Bifurcation and Stochastic Resonance of Electrical Activities in Neuron under Electromagnetic Induction. [PDF]
Front Comput Neurosci, 2018 The FitzHugh–Nagumo model is improved to consider the effect of the electromagnetic induction on single neuron. On the basis of investigating the Hopf bifurcation behavior of the improved model, stochastic resonance in the stochastic version is captured ...
Fu YX, Kang YM, Xie Y.
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Hopf bifurcation with additive noise [PDF]
Nonlinearity, 2017 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 ...
T. S. Doan +3 more
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Hopf bifurcations on cubic lattices [PDF]
Nonlinearity, 2003 The author continues his previous work in this article. The standard results on equivariant Hopf bifurcation are applied. Explicit computations concerning stability are performed.
T. K. Callahan
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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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The smallest bimolecular mass action reaction networks admitting Andronov–Hopf bifurcation [PDF]
Nonlinearity, 2022 We address the question of which small, bimolecular, mass action chemical reaction networks (CRNs) are capable of Andronov–Hopf bifurcation (from here on abbreviated to ‘Hopf bifurcation’).
M. Banaji, B. Boros
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Low temperature nullifies the circadian clock in cyanobacteria through Hopf bifurcation. [PDF]
Proc Natl Acad Sci U S A, 2017 Murayama Y +5 more
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Influence of Coil Current and Oil Film Thickness on Hopf Bifurcation of MLDSB
Energies, 2022 Magnetic-liquid double-suspension bearing (MLDSB) is composed of an electromagnetic supporting system and a hydrostatic supporting system. Due to its greater supporting capacity and stiffness, it is appropriate for middle-speed applications, overloading,
Jianhua Zhao +6 more
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Bogdanov–Takens bifurcation of a Holling IV prey–predator model with constant-effort harvesting
Journal of Inequalities and Applications, 2021 A prey–predator model with constant-effort harvesting on the prey and predators is investigated in this paper. First, we discuss the number and type of the equilibria by analyzing the equations of equilibria and the distribution of eigenvalues.
Lifang Cheng, Litao Zhang
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