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Nonlinear aeroelastic modelling and analysis of a geometrically nonlinear wing with combined unsteady sectional and lifting line aerodynamics. [PDF]

Nonlinear Dyn
Jayatilake S, Lowenberg M, Woods BKS, Titurus B.   +3 more
europepmc   +1 more source

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Global stability and Neimark-Sacker bifurcation of a host-parasitoid model

International Journal of Systems Science, 2017
We investigate qualitative behaviour of a density-dependent discrete-time host-parasitoid model. Particularly, we study boundedness of solutions, existence and uniqueness of positive steady-state, local and global asymptotic stability of the unique positive equilibrium point and rate of convergence of modified host-parasitoid model.
Qamar Din
exaly   +4 more sources

Controlling Chaos and Neimark–Sacker Bifurcation in a Host–Parasitoid Model

Asian Journal of Control, 2019
AbstractIn this paper, a new density‐dependent host–parasitoid model is proposed. The modification is based on density‐dependent factor by introducing Hassell growth function in host population. Moreover, the permanence of solutions, existence and uniqueness of positive equilibrium, local asymptotic stability and global behavior of the positive ...
Qamar Din
exaly   +4 more sources

Neimark–Sacker bifurcation of discrete Pielou model with delay

Journal of Difference Equations and Applications
In this paper, we investigate the existence of the Neimark–Sacker bifurcation of discrete delay Pielou Model with positive parameters. It is shown that this model undergoes a Neimark–Sacker bifurcation when the parameter passes a critical value ...
Zhimin He
exaly   +3 more sources

Neimark-Sacker Bifurcation of Discrete Fractional Chaotic Systems

International Journal of Bifurcation and Chaos
Fractional chaotic maps have been recently proposed to describe long-memory effects. However, their bifurcation analysis is complicated. This paper considers a linearized system and introduces necessary and sufficient conditions of Neimark–Sacker (N–S ...
Guo-Cheng Wu, Hu-Shuang Hou, René Lozi
semanticscholar   +2 more sources

Neimark-Sacker bifurcation and chaos control in Hassell-Varley model

Journal of Difference Equations and Applications, 2017
We investigate the complex behaviour of a modified Nicholson–Bailey model. The modification is proposed by Hassel and Varley taking into account that interaction between parasitoids is taken in such a way that the searching area per parasitoid is ...
Qamar Din
exaly   +2 more sources

Neimark-Sacker bifurcation of a fourth order difference equation

Mathematical Methods in the Applied Sciences, 2018
In this article, we study stability and bifurcation of a fourth order rational difference equation. We give condition for local stability, and we show that the equation undergoes a Neimark‐Sacker bifurcation. Moreover, we consider the direction of the Neimark‐Sacker bifurcation. Finally, we numerically validate our analytical results.
Marwan Aloqeili
exaly   +3 more sources

Neimark–Sacker bifurcation of two second-order rational difference equations

Journal of Difference Equations and Applications
We investigate the Neimark–Sacker bifurcation of the equilibrium of two special cases of the difference Equation \[ x_{n+1}=\frac{\beta x_n x_{n-1}+ \gamma x_{n-1}^2 +\delta x_n}{B x_n x_{n-1}+C x_{n-1}^2 +D x_n} \]xn+1=βxnxn−1+γxn−12+δxnBxnxn−1+Cxn−12 ...
Mustafa R. S. Kulenovic, Esmir Pilav
exaly   +2 more sources

A Neimark--Sacker bifurcation in a discrete SIS model

Mathematica Applicanda, 2023
In this paper we analyse a possiblity of occurrence of a Neimark–Sacker bifurcation in a two–dimensional SIS discrete–time model. As a discretization method, we applied the Explicit Euler Scheme. We choose a step size of discretization method as a bifurcation parameter, what is not a typical approach.
Marcin Choiński
semanticscholar   +2 more sources

Neimark–Sacker bifurcation for periodic delay differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2005
The paper considers nonautonomous delay differential equations of the form \[ x'(t)=\gamma(a(t)x(t)+f(t,x(t-1))), \] where \(a\) and \(f\) are \(1-\)periodic with respect to \(t\). The aim is to study Neimark-Sacker bifurcations. The method employed is based on characteristic equations and Floquet exponents.
Röst, Gergely
openaire   +4 more sources