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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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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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Advances in Difference Equations, 2020 In this paper, stochastic Hopf–Hopf bifurcation of the discrete coupling logistic system with symbiotic interaction is investigated. Firstly, orthogonal polynomial approximation of discrete random function in the Hilbert spaces is applied to reduce the ...
Maosong Yang, Shaojuan Ma
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Cluster Oscillation of a Fractional-Order Duffing System with Slow Variable Parameter Excitation
Fractal and Fractional, 2022 The complicated dynamic behavior of a fractional-order Duffing system with slow variable parameter excitation is investigated. The stability and bifurcation behavior of the fast subsystem are analyzed by using the dynamic theory of fractional-order ...
Xianghong Li, Yanli Wang, Yongjun Shen
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Energy Science & Engineering, 2023 The strong coupling, multivariate, and nonlinear characteristics of the mathematical model of a doubly‐fed induction generator (DFIG) make it challenging to analyze the bifurcation category of the DFIG. Therefore, in this study, we developed a method for
Wei Chen +4 more
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Hopf bifurcation in delayed nutrient-microorganism model with network structure
Journal of Biological Dynamics, 2022 In this paper, we introduce and deal with the delayed nutrient-microorganism model with a random network structure. By employing time delay τ as the main critical value of the Hopf bifurcation, we investigate the direction of the Hopf bifurcation of such
Mengxin Chen +3 more
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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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Optimization of Hopf Bifurcation Points
SIAM Journal on Scientific Computing, 2023 We introduce a numerical technique for controlling the location and stability properties of Hopf bifurcations in dynamical systems. The algorithm consists of solving an optimization problem constrained by an extended system of nonlinear partial differential equations that characterizes Hopf bifurcation points.
Nicolas Boullé +2 more
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Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua’s system [PDF]
Advances in Difference Equations, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junze Li, Yebei Liu, Zhouchao Wei
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