Results 161 to 170 of about 1,013 (204)

A Model for the Coexistence of Competing Mechanisms for Ca 2 + Oscillations in T-lymphocytes. [PDF]

open access: yesBull Math Biol
Castaneda Ruan P   +4 more
europepmc   +1 more source

Analyzing and Controlling chaos phenomena in fractional chaotic supply chain models. [PDF]

open access: yesHeliyon
Johansyah MD   +5 more
europepmc   +1 more source

Resilience assessment in complex natural systems. [PDF]

open access: yesProc Biol Sci
Sguotti C   +3 more
europepmc   +1 more source

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.
Marwan Aloqeili
exaly   +3 more sources

Neimark–Sacker bifurcation for periodic delay differential equations

open access: yesNonlinear 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.
Röst, Gergely
openaire   +4 more sources

Simplest normal forms of generalized Neimark-Sacker bifurcation

Transactions of Tianjin University, 2009
The normal forms of generalized Neimark-Sacker bifurcation are extensively studied using normal form theory of dynamic system. It is well known that if the normal forms of the generalized Neimark-Sacker bifurcation are expressed in polar coordinates, then all odd order terms must, in general, remain in the normal forms. In this paper, five theorems are
Yumei Ding   +2 more
exaly   +2 more sources

Neimark–Sacker Bifurcation Analysis and 0–1 Chaos Test of an Interactions Model between Industrial Production and Environmental Quality in a Closed Area

open access: yesSustainability, 2015
A discrete-time model is presented to describe the complex interaction between industrial production and environmental quality in a closed area. Its Neimark–Sacker bifurcation and chaos are discussed based on Wen’s explicit Neimark–Sacker bifurcation ...
Baogui Xin, Xin Baogui
exaly   +2 more sources

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

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