The Neimark-Sacker bifurcation ofxn+1=δxn-2+xn-3A+xn-3

2009/07/03 by Rongyan Zhang, Xiaohua Ding · 1 citation
Computer Science · Mathematics · Medicine · #Advanced Differential Equations and Dynamical Systems #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation

paper · doi:10.1080/10236190802357669

openalex publication_date 2009/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

In this article, we investigate the existence and direction of the Neimark-Sacker bifurcation of the equation in the title with positive parameters and with arbitrary non-negative conditions. First, we study the existence of the Neimark-Sacker bifurcation of the system by analyzing the characteristic equation. Secondly, we investigate the direction and stability of the bifurcating invariant curve by using the normal form theory. Finally, computer simulation is performed to illustrate the analytical results found.

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• Pseudo-almost Periodic and Stepanov Solutions of Discrete Evolution Equations with Applications

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