Results 141 to 150 of about 431 (175)

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
openaire   +3 more sources

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.
Hassan Yaghoobi, Eyad H. Abed
openaire   +2 more sources

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 ...
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
Tetsushi Ueta, Guangrong Chen, Tetsuya Yoshinaga, Hiroshi Kawakami   +3 more
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 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.
openaire   +1 more source

Neimark–Sacker bifurcation in a tritrophic model with defense in the prey

Chaos, Solitons & Fractals, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gamaliel Blé, Miguel Angel Dela-Rosa
openaire   +2 more sources

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.
openaire   +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.
openaire   +3 more sources

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