一类无不动点的二维混沌映射的复杂动力学  

The complex dynamics of a class of two dimensional chaotic maps with no fixed point

作　　者：许伟 

机构地区：[1]河海大学计算机与信息学院,南京211100

出　　处：《信息技术》2018年第2期141-144,148,共5页Information Technology

摘　　要：当前,离散映射在经济、生物、工程等领域具有广泛研究,而离散映射中的隐藏吸引子的研究目前涉及较少。文中首先通过相图、吸引域研究该映射在参数固定的情况下的动力学特性,然后将分别通过分岔图等研究系统在单参数及双参数变化情况下的动力学演化过程,从而揭示该类映射的复杂动力学的产生与演化机理。At present,discrete map is widely studied on in the fields of economy,biology,engineering,and so on. However,there is the less results about the hidden attractor in the discrete maps. Firstly the dynamics of the maps with fixed parameters are presented by the phase diagram and the basin of attractions of the maps. Then the dynamical evolution of the map with the single and double parameters varying by using the bifurcation diagrams,it aims to reveal the mechanisms of complex dynamics.

关 键 词：吸引子 相图 吸引域 复杂动力学 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]