Results 41 to 50 of about 203,161 (272)
Journal of Differential Equations, 1995 The authors present a numerical bifurcation study of the dynamical behavior of a structural dynamics model of a periodically forced suspended cable. The simplified equations of motion are: \(\ddot x+ \mu \dot x+ c_1 x+ c_2 x^2+ c_3 x^3= P\cos(\Omega t)\); \(c_1\), \(c_2\), \(c_3\) are fixed parameters.
Kunimochi Sakamoto, Bo Deng
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Hopf bifurcation of a heroin model with time delay and saturated treatment function
Advances in Differential Equations, 2019 In this paper, local stability and Hopf bifurcation of a delayed heroin model with saturated treatment function are discussed. First of all, sufficient conditions for local stability and existence of Hopf bifurcation are obtained by regarding the time ...
Zizhen Zhang, Yougang Wang
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Approximation of Hopf bifurcation
Numerische Mathematik, 1982 We make several assumptions on a nonlinear evolution problem, ensuring the existence of a Hopf bifurcation. Under a fairly general approximation condition, we define a discrete problem which retains the bifurcation property and we prove an error estimate between the branches of exact and approximate periodic solutions.
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Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration
Electronic Journal of Qualitative Theory of Differential Equations, 2016 A delayed predator-prey system with a constant rate immigration is considered. Local and global stability of the equilibria are studied, a fixed point bifurcation appears near the boundary equilibrium and Hopf bifurcation occurs near the positive ...
Gang Zhu, Junjie Wei
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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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Utilizing Causal Network Markers to Identify Tipping Points ahead of Critical Transition
Advanced Science, EarlyView.The study proposes a causal network markers (CNMs) framework to identify early‐warning signals preceding critical transitions. It validates CNMs on various computational benchmark models and real‐world datasets, demonstrating higher accuracy and flexibility compared to existing approaches.
Shirui Bian +4 more
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Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay
Journal of Applied Mathematics, 2014 A delay-differential modelling of vector-borne is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation.
Yuanyuan Chen, Ya-Qing Bi
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Mathematics, 2022 We studied a delayed predator–prey model with diffusion and anti-predator behavior. Assume that additional food is provided for predator population. Then the stability of the positive equilibrium is considered.
Ruizhi Yang, Xiao Zhao, Yong An
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On qualitative analysis of an ecological dynamics with time delay
Asian Journal of Control, EarlyView.Abstract In this paper, we study a fractional‐order predator–prey system with time delay, where the dynamics are logistic with prey population commensurate to the carrying capacity. Mainly, by linearizing the system around the equilibrium point, we first analyze the stability and then prove the existence of Hopf bifurcation.
Canan Celik, Kubra Degerli
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Time-delayed feedback control for chaotic systems with coexisting attractors
AIMS MathematicsThis study investigated the Hopf bifurcation of the equilibrium point of chaotic systems with coexisting attractors under the time-delayed feedback control.
Erxi Zhu
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