Bifurcations of phase portraits and chaotic behaviors of the (2+1)-dimensional double-chain DNA system with beta derivative: A qualitative approach. [PDF]
Kumar D.
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A Model for the Coexistence of Competing Mechanisms for Ca 2 + Oscillations in T-lymphocytes. [PDF]
Castaneda Ruan P +4 more
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Analyzing and Controlling chaos phenomena in fractional chaotic supply chain models. [PDF]
Johansyah MD +5 more
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Resilience assessment in complex natural systems. [PDF]
Sguotti C +3 more
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Nonlinear aeroelastic modelling and analysis of a geometrically nonlinear wing with combined unsteady sectional and lifting line aerodynamics. [PDF]
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Neimark‐Sacker bifurcation of a fourth order difference equation
Mathematical Methods in the Applied Sciences, 2018In 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
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Neimark–Sacker bifurcation for periodic delay differential equations
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
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Simplest normal forms of generalized Neimark-Sacker bifurcation
Transactions of Tianjin University, 2009The 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
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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
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Remarks on interacting Neimark–Sacker bifurcations
Journal of Difference Equations and Applications, 2006We 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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