Bifurcation Analysis of a Discrete Logistic System with Feedback Control  

具有反馈控制离散Logistic系统的分支分析（英文）

作　　者：伍代勇 

机构地区：[1]Department of Mathematics, Anqing Normal University

出　　处：《Chinese Quarterly Journal of Mathematics》2015年第1期66-78,共13页数学季刊（英文版）

基　　金：Supported by the Scientific Research Programmes of Colleges in Anhui(KJ2013Z186)

摘　　要：The paper studies the dynamical behaviors of a discrete Logistic system with feedback control. The system undergoes Flip bifurcation and Hopf bifurcation by using the center manifold theorem and the bifurcation theory. Numerical simulations not only illustrate our results, but also exhibit the complex dynamical behaviors of the system, such as the period-doubling bifurcation in periods 2, 4, 8 and 16, and quasi-periodic orbits and chaotic sets.

关 键 词：feedback control Logistic system DISCRETE Flip bifurcation Hopf bifurcation 

分 类 号：O175.7[理学—数学]