Results 171 to 180 of about 2,221 (187)

Neimark–Sacker bifurcation for the discrete-delay Kaldor–Kalecki model

Chaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dobrescu, Loretti I., Opris, Dumitru
openaire   +2 more sources

Simplest normal forms of generalized Neimark-Sacker bifurcation

Transactions of Tianjin University, 2009
The normal forms of generalized Neimark-Sacker bifurcation are extensively studied using normal form theory of dynamic system. It is well known that if the normal forms of the generalized Neimark-Sacker bifurcation are expressed in polar coordinates, then all odd order terms must, in general, remain in the normal forms. In this paper, five theorems are
Yumei Ding, Qichang Zhang
openaire   +1 more source

Dynamics and Neimark-Sacker bifurcation of a modified Nicholson-Bailey model

2022
Summary: In this paper, the dynamics of a modified Nicholson-Bailey model as a discrete dynamical system has been studied. Local dynamics in a neighborhood of boundary fixed points are investigated. It is also proved that the model has a unique positive fixed point and a Neimark-Sacker bifurcation emerges at this fixed point. Some numerical simulations
Akrami, Mohammad Hossein, Atabaigi, Ali
openaire   +2 more sources

A FREQUENCY-ANALYTIC APPROACH FOR CONTROLLING NEIMARK-SACKER BIFURCATIONS

IFAC Proceedings Volumes, 2006
Abstract A frequency-analytic methodology for controlling the amplitudes and stability of Neimark-Sacker bifurcations exhibited by discrete-time systems is presented. The proposed controller consists of a nonlinear static feedback law and a highpass filter used to preserve the dynamical behaviors of the system's equilibria.
María Belén D'Amico, Guanrong Chen, Jorge L. Moiola, Eduardo E. Paolini   +3 more
openaire   +1 more source

Flip bifurcation and Neimark–Sacker bifurcation in a discrete predator–prey model with harvesting

International Journal of Biomathematics, 2019
In this paper, a difference-algebraic predator–prey model is proposed, and its complex dynamical behaviors are analyzed. The model is a discrete singular system, which is obtained by using Euler scheme to discretize a differential-algebraic predator–prey model with harvesting that we establish.
Wei Liu, Yaolin Jiang
openaire   +1 more source

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) bifurcation by complex analysis method.
Guo-Cheng Wu, Hu-Shuang Hou, René Lozi
openaire   +1 more source

A numerical algorithm for computing Neimark-Sacker bifurcation parameters

ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349), 2003
We propose an efficient method for computing parameter values of the Neimark-Sacker bifurcation in this paper. To handle the complex eigenvalue problem, we expand the characteristic equation into a sum of determinants of the involving matrices. We solve for the location of the fixed point, period, parameter, and arguments of the complex eigenvalues for
T. Ueta, G. Chen, T. Yoshinaga, H. Kawakami   +3 more
openaire   +1 more source

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

Asian Journal of Control, 2018
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, Mushtaq Hussain
openaire   +2 more sources

Neimark-Sacker bifurcation and control of a discrete epidemic model

2010 2nd International Asia Conference on Informatics in Control, Automation and Robotics (CAR 2010), 2010
In this paper, a discrete epidemic model with nonlinear incidence rate obtained by the forward Euler method is investigated. The conditions of existence for Neimark-Sacker bifurcation are derived by using bifurcation theory. In order to eliminate the Neimark-Sacker bifurcation of the discrete epidemic model, a tracking controller is designed such that ...
null Na Yi, null Peng Liu, null Qingling Zhang, null Shuhui Shi   +3 more
openaire   +1 more source

Neimark–Sacker bifurcation of a third-order rational difference equation

Journal of Difference Equations and Applications, 2013
In this paper, we investigate the existence and direction of the Neimark–Sacker bifurcation of a third-order rational difference equation with positive parameters. Firstly, it is found that there exists a Neimark–Sacker bifurcation when the parameter passes a critical value by analysing the characteristic equation.
Zhimin He, Jia Qiu
openaire   +1 more source