Results 71 to 80 of about 88,741 (169)
Neimark–Sacker bifurcation for periodic delay differential equations
, 2005 In this paper we study the delay differential equation \dot{x}(t) = gamma(a(t)x(t) + f(t, x (t - 1))), where gamma is a real parameter, the functions a(t), f(t,xi) are C(4)-smooth and periodic in the variable t with period 1.
Röst, Gergely
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Stability Analysis of a Discrete‐Time Predator–Prey Model Using Piecewise Constant Argument
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This paper offers a thorough analysis of the discrete‐time predator–prey model obtained by using the piecewise constant argument technique. Our principal findings demonstrate that the coexistence fixed exhibits rich dynamical behavior, undergoing both Neimark–Sacker and period‐doubling bifurcations as ecological parameters vary. These bifurcations lead
Muhammad Rafaqat +5 more
wiley +1 more source
, 2018 © 2019 by ASME. Saddle-node or period-doubling bifurcations of the near-grazing impact periodic motions have been extensively studied in the impact oscillators, but the near-grazing Neimark-Sacker bifurcations have not been discussed yet.
Ji, J, Wen, G, Yin, S, Deng, S
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, 2021 The dynamics behavior of a discrete-time three-species food chain model is investigated. By using bifurcation theory, it is shown that the equilibrium point of the system loses its stability, and the system undergoes Neimark–Sacker bifurcation, which ...
Ding Yin, Li Jiacheng, Guo Feng
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Global dynamics and bifurcation analysis of a host–parasitoid model with strong Allee effect
Journal of Biological Dynamics, 2017 In this paper, we study the global dynamics and bifurcations of a two-dimensional discrete time host–parasitoid model with strong Allee effect. The existence of fixed points and their stability are analysed in all allowed parametric region.
Abdul Qadeer Khan +2 more
doaj +1 more source
, 2015 A discrete-time model is presented to describe the complex interaction between industrial production and environmental quality in a closed area. Its Neimark–Sacker bifurcation and chaos are discussed based on Wen’s explicit Neimark–Sacker bifurcation ...
Zhiheng Wu, Baogui Xin
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Stability and Bifurcations in a Discrete-Time Eco-Evolutionary Logistic Model
MathematicsIn this paper I study a two-dimensional discrete-time evolutionary logistic-type model describing the coupled dynamics of population density and a continuously evolving trait.
Rafael Luís
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Consumer sentiment and business cycles: a Neimark-Sacker bifurcation scenario
We seek to demonstrate that consumer sentiment may create fluctuations in economic activity. Our nonlinear discrete-time model possesses, for instance, a Neimark-Sacker bifurcation, after which a stable steady state is replaced by (quasi-)periodic motion.
Frank Westerhoff
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Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model
IEEE Access, 2019 In this paper, we investigate the system undergoes flip and Neimark Sacker bifurcation in the interior of R+2 by using the center manifold theorem and bifurcation theory. The dynamics of this discrete time predator-pre model is investigated in the closed
Yong Li +4 more
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Stability and bifurcation analysis in a host–parasitoid model with Hassell growth function
Advances in Difference Equations, 2018 In this paper, a discrete-time host–parasitoid model with Hassell growth function for the host is considered. The sufficient conditions for the existence of the equilibrium points are obtained and a local stability analysis of the model is performed.
Figen Kangalgil, Senol Kartal
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