Results 161 to 170 of about 2,221 (187)

Dynamics of a Cournot game with bounded rational firms and various scale effects. [PDF]

PLoS One
Li X, Li B, Su L.
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Cardiogenic and chronobiological mechanisms in seizure-induced sinus arrhythmias. [PDF]

PLoS Comput Biol
Li P, Lee S, Choi KY, Rubin JE, Kim JK.
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Nonlinear dynamic wave properties of travelling wave solutions in in (3+1)-dimensional mKdV-ZK model. [PDF]

PLoS One
Arafat SMY, Asif M, Rahman MM.
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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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Neimark‐Sacker bifurcation of a fourth order difference equation

Mathematical Methods in the Applied Sciences, 2018
In this article, we study stability and bifurcation of a fourth order rational difference equation. We give condition for local stability, and we show that the equation undergoes a Neimark‐Sacker bifurcation. Moreover, we consider the direction of the Neimark‐Sacker bifurcation. Finally, we numerically validate our analytical results.
A. Shareef, M. Aloqeili
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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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