Results 191 to 200 of about 90,692 (222)

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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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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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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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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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 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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Neimark‐Sacker bifurcation and hybrid control in a discrete‐time Lotka‐Volterra model

Mathematical methods in the applied sciences, 2020
We explore the local dynamics, N‐S bifurcation, and hybrid control in a discrete‐time Lotka‐Volterra predator‐prey model in R+2 . It is shown that ∀ parametric values, model has two boundary equilibria: P00(0,0) and Px0(1,0) , and a unique positive ...
Abdul Qadeer Khan, T. Khalique
semanticscholar   +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
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Control of Neimark-Sacker Bifurcation in One Cycle Controlled Cuk Converters

2020 IEEE 29th International Symposium on Industrial Electronics (ISIE), 2020
One cycle controlled Cuk converters are prone to exhibit slow-scale oscillations caused by Neimark-Sack bifurcation in the input stage of the converter. In this paper, sampled-data model is applied to analyze the dynamics of Cuk converters. And a novel control method is presented for eliminating the bifurcation from the perspective of improving the ...
Yongliang Guo, Lei Wang 0109, Q. H. Wu
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Neimark–Sacker bifurcation analysis in an intraguild predation model with general functional responses

, 2020
We analyse the dynamics of a discrete system coming from an intraguild food web model by using the average method. The intraguild predation model is formed by three populations corresponding to prey (P), mesopredator (MP) and superpredator (SP), where ...
G. Blé, M. A. Dela-Rosa, I. Loreto-Hernández   +2 more
semanticscholar   +1 more source