Results 11 to 20 of about 2,202 (135)
Zero-Hopf Bifurcation in a Generalized Genesio Differential Equation
Mathematics, 2021 The purpose of the present paper is to study the presence of bifurcations of zero-Hopf type at a generalized Genesio differential equation. More precisely, by transforming such differential equation in a first-order differential system in the three ...
Zouhair Diab +2 more
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Global dynamic characteristics of a piecewise smooth rotor/stator rubbing system with high speed. [PDF]
PLoS ONEIn this paper the global dynamic characteristics of a piecewise smooth rotor/stator rubbing system with high speed, which significantly differs from those of a low-speed system, are explored by numerical simulation and theoretical analysis.
Shunzeng Wang +3 more
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Slow onset of self-sustained oscillations in a fluctuating sideband-driven electromechanical resonator [PDF]
Scientific ReportsCritical slowing down of the dynamics of a system near bifurcation points leads to long recovery times towards stable states in response to perturbations.
B. Zhang +4 more
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Hopf-zero bifurcation of the ring unidirectionally coupled Toda oscillators with delay
Nonlinear Analysis, 2021 In this paper, the Hopf-zero bifurcation of the ring unidirectionally coupled Toda oscillators with delay was explored. First, the conditions of the occurrence of Hopf-zero bifurcation were obtained by analyzing the distribution of eigenvalues in ...
Rina Su, Chunrui Zhang
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Hopf-Zero Bifurcation in Three-Cell Networks with Two Discrete Time Delays [PDF]
Mathematics Interdisciplinary Research, 2021 In this paper, we study a delayed three-cell network which is introduced by coupled cell theory and neural network theory. We investigate this model with two different discrete delays.
Zohreh Dadi, Zahra Yazdani
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Journal of Mathematics, 2022 In this study, a predator-prey model with the Allee effect and fear effect is established. We use the comparison principle to prove boundedness. The zero equilibrium point and nonzero equilibrium point of the model are calculated, and the local stability
Ye Xuan Li +5 more
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Co-dimension two bifurcations analysis of a delayed tumor model with Allee effect
Advances in Difference Equations, 2021 The mathematical model has become an important means to study tumor treatment and has developed with the discovery of medical phenomena. In this paper, we establish a delayed tumor model, in which the Allee effect is considered.
Qinrui Dai
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Periodic solutions for a four-dimensional hyperchaotic system
Advances in Difference Equations, 2020 In this paper, we show a zero-Hopf bifurcation in a four-dimensional smooth quadratic autonomous hyperchaotic system. Using averaging theory, we prove the existence of periodic orbits bifurcating from the zero-Hopf equilibrium located at the origin of ...
Jing Yang, Zhouchao Wei, Irene Moroz
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Bifurcation analysis of glucose model with obesity effect
Alexandria Engineering Journal, 2021 Due to the importance of studying the change in glucose which affected by obesity and results in a negative effect on the health of the body, In this paper, glucose metabolism model was developed to study the effect of obesity.
Mahmoud A. Abd-Rabo +3 more
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Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua’s system
Advances in Difference Equations, 2018 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
Junze Li, Yebei Liu, Zhouchao Wei
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