截距同号且存在一个排斥不动点的分段线性映射的动力学分析  

Dynamical Analysis of Piecewise Linear Maps with the Same Intercept Sign and One Repulsive Fixed Point

作　　者：顾恩国[1] 罗阿木 卢俊波 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2017年第4期131-136,共6页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(61374085)

摘　　要：为补充和完善前人对分段线性映射动力学行为的研究,首先,对参数进行了初步的分类;然后分别分析每一种情况下系统的动力学行为,探讨了BCB分叉、flip分叉、接触分叉以及混沌等现象,并研究了共存吸引子、吸引域的定界和分叉;最后,结合数值模拟对理论结果进行了验证.In this paper,the study on the dynamic behavior of piecewise linear map was complemented and perfected.Firstly,a preliminary classification of the parameters is given.Then dynamical behavior of each case was analyzed.BCB bifurcation,flip bifurcation,contact bifurcation and chaos phenomenon,coexistence attractors,basin delimitation and bifurcation of attractors were presented.At last,numerical simulation was used to verify the theoretical results.

关 键 词：分段线性映射 BCB分叉 flip分叉 接触分叉 混沌 

分 类 号：O193[理学—数学]