参数周期切换下logistic电路的动力学行为及其分岔分析（英文）  

Dynamical behaviors and bifurcation mechanisms of the periodic parameter-switchinglogistic circuit

作　　者：张春[1] 

机构地区：[1]淮阴师范学院数学科学学院,江苏淮安223300

出　　处：《江苏师范大学学报（自然科学版）》2016年第4期36-39,共4页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：supported by the National Natural Science Foundation of China(11502091)

摘　　要：研究不同参数下两logistic电路之间进行周期切换时的复杂动力学行为.切换系统不仅表现为各个子系统动力特性的简单连接,而且会产生各种连接不同周期轨道的分岔,甚至导致混沌等复杂振荡行为.通过构造整体的Poincaré映射,并基于Floquet理论,对整个切换系统进行分岔分析.研究表明,鞍结分岔和跨临界分岔将连接不动点以及各种周期1轨道,而周期轨道又可经级联倍周期分岔通往混沌.A modified discrete-time system obtained from the standard logistic circuit with periodic parameter-switching scheme is presented to explore the oscillation and bifurcation mechanism of the switching discrete-time map.Poincarémap of the whole system is defined by suitable sections and local maps.Under certain parameter conditions,different types of period 1trajectories and chaos may be observed.Meanwhile,based on the Floquet theory,it is found that turning point bifurcations and saddle-node bifurcations determined the transitions between the different types of the period 1trajectory,while cascading of period-doubling bifurcation may lead the system to chaotic movement.

关 键 词：logistic切换电路 POINCARÉ映射 分岔机理 Floquet乘子 

分 类 号：O322[理学—一般力学与力学基础] O302[理学—力学]