Discretization analysis of bifurcation based nonlinear amplifiers [PDF]
Advances in Radio Science, 2017 Recently, for modeling biological amplification processes, nonlinear amplifiers based on the supercritical Andronov–Hopf bifurcation have been widely analyzed analytically.
S. Feldkord, M. Reit, W. Mathis
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Bifurcation and hybrid control of a discrete eco-epidemiological model with Holling type-III. [PDF]
PLoS ONEIn this paper, a three dimensional discrete eco-epidemiological model with Holling type-III functional response is proposed. Boundedness of the solutions of the system is analyzed.
Lizhi Fei, Hengmin Lv, Heping Wang
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Stability and Neimark–Sacker Bifurcation of a Delay Difference Equation
Mathematics, 2023 In this paper, we revisit a delay differential equation. By using the semidiscretization method, we derive its discrete model. We mainly deeply dig out a Neimark–Sacker bifurcation of the discrete model.
Shaoxia Jin, Xianyi Li
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Dynamics of a Prey-Predator System with Harvesting Effect on Prey
Chaos Theory and Applications, 2022 This article is about the dynamic behavior of a prey-predator model exposed to the harvesting effect on prey. Firstly, the existence and stability of the fixed points of the model are obtained, and then the presence and direction of Neimark-Sacker ...
Özlem Ak Gümüş
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The Diffusion-Driven Instability for a General Time-Space Discrete Host-Parasitoid Model
Discrete Dynamics in Nature and Society, 2023 In this paper, we consider a general time-space discrete host-parasitoid model with the periodic boundary conditions. We analyzed and obtained some usual conditions, such as Turing instability occurrence, Flip bifurcation occurrence, and Neimark-Sacker ...
Xuetian Zhang, Chunrui Zhang
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Stability and Bifurcation Analysis of Fifth-Order Nonlinear Fractional Difference Equation
Fractal and Fractional, 2023 In this paper, a rational difference equation with positive parameters and non-negative conditions is used to determine the presence and direction of the Neimark–Sacker bifurcation.
Abdul Khaliq +6 more
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Dynamics and Bifurcation of $x_{n+1}=\frac{\alpha+\beta x_{n-2}}{A+Bx_{n}+C x_{n-2}}$
Journal of Mathematical Sciences and Modelling, 2021 In this paper, we study dynamics and bifurcation of the third order rational difference equation \begin{eqnarray*} x_{n+1}=\frac{\alpha+\beta x_{n-2}}{A+Bx_{n}+Cx_{n-2}}, ~~n=0, 1, 2, \ldots \end{eqnarray*} with positive parameters $\alpha, \beta, A, B ...
Mohammad Saleh, Batool Raddad
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The dynamics of a low-order coupled ocean-atmosphere model [PDF]
, 1998 A system of five ordinary differential equations is studied which combines the Lorenz-84 model for the atmosphere and a box model for the ocean. The behaviour of this system is studied as a function of the coupling parameters.
Opsteegh, T., van Veen, L., Verhulst, F.
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Complex Dynamic Analysis for a Rent-Seeking Game with Political Competition and Policymaker Costs
Mathematics, 2023 This paper investigates the dynamics of rent-seeking games that include political competition and policymaker cost model. The local asymptotic stability of multiple equilibrium points and Nash equilibrium points are studied.
Xiuqin Yang, Feng Liu, Hua Wang
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Small aspect ratio Taylor-Couette flow: onset of a very-low-frequency three-torus state [PDF]
, 2003 The nonlinear dynamics of Taylor-Couette flow in a small aspect ratio annulus (where the length of the cylinders is half of the annular gap between them) is investigated by numerically solving the full three-dimensional Navier-Stokes equations.
López Moscat, Juan Manuel +1 more
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