Results 171 to 180 of about 1,013 (204)

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
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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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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
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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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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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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
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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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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
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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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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
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