Bifurcation analysis and chaotic behavior of a discrete-time delayed genetic oscillator model

Advances in Difference Equations

Hua O Wang¹  Fenglan Sun²  Feng Liu³  Xiang Yin³  Xinmei Wang³ 

[1]Department of Mechanical Engineering, Boston University, Boston, USA

[2]Research Center of System Theory and Application, Chongqing University of Posts and Telecommunications, Chongqing, P.R. China

[3]School of Automation, China University of Geosciences, Wuhan, P.R. China

关键词: stability;    bifurcation;    Euler discretized;    genetic oscillator model;   

DOI  :  10.1186/s13662-016-1053-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a genetic oscillator model with time delay is discretized by the Euler method. The discrete oscillator model is discussed by using Neimark-Sacker bifurcation theory. The direction and the stability of the Neimark-Sacker bifurcation has been studied using the center manifold theorem and normal form theory. Numerical simulations illustrate the theoretical results.

【 授权许可】

CC BY