Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay. (13th June 2006)

• Record Type: Journal Article
• Authors: Ding, Xiaohua; Li, Wenxue
• Is Part Of: Discrete dynamics in nature and society. Volume 2006(2006)
• Publication Date: 2006-06-13
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/DDNS/2006/19413
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : A kind of discrete system according to Nicholson's blowflies equation with a finite delay is obtained by the Euler forward method, and the dynamics of this discrete system are investigated. Applying the theory of normal form and center manifold, we not only discuss the linear stability of the equilibrium and the existence of the local Hopf bifurcations, but also give the explicit algorithm for determining the direction of bifurcation and stability of the periodic solution of bifurcation.