Results 171 to 180 of about 2,227 (204)

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
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Remarks on interacting Neimark–Sacker bifurcations

Journal of Difference Equations and Applications, 2006
We study codimension-2 bifurcations of fixed points of dissipative diffeomorphisms with a pair of complex eigenvalues together with either an eigenvalue − 1 or another such a pair. In the previous studies only cubic normal forms were considered. However, in some cases the unfolding requires higher-order terms and these are investigated here.
Yu. A. Kuznetsov, H. G. E. Meijer
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LOCAL FEEDBACK CONTROL OF THE NEIMARK–SACKER BIFURCATION

International Journal of Bifurcation and Chaos, 2003
Local bifurcation control designs have been addressed in the literature for stationary, Hopf, and period doubling bifurcations. This paper addresses the local feedback control of the Neimark–Sacker bifurcation, in which an invariant closed curve emerges from a nominal fixed point of a discrete-time system as a parameter is slowly varied.
Yaghoobi, Hassan, Abed, Eyad H.
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The Neimark-Sacker bifurcation

2023
This master thesis is about the Neimark-Sacker bifurcation, also known as Discrete Hopf bifurcation. At such a bifurcation, an invariant closed curve bifurcates from a fixed point, which changes stability in the process. In this thesis it is described when and how such a bifurcation takes place, as well as what behaviour can be expected on this ...
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Box dimension of Neimark–Sacker bifurcation

Journal of Difference Equations and Applications, 2014
In this paper we show how a change of a box dimension of orbits of two-dimensional discrete dynamical systems is connected to their bifurcations in a nonhyperbolic fixed point. This connection is already shown in the case of one-dimensional discrete dynamical systems and Hopf bifurcation for continuous systems.
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Simplest Normal Forms of Hopf–Neimark–Sacker Bifurcations

International Journal of Bifurcation and Chaos, 2003
According to [Yu, 1999], at most two terms remain in the amplitude equation of the normal form of a continuous system, expressed in polar coordinates, with a Hopf or Generalized Hopf singularity, if we (only) apply specific nonlinear transformation to the conventional normal form; but, at least one remains in the phase equation.
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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.
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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
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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
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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
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