类Henon吸引子相空间演化行为研究  

The Phase Space Evolution Behavior of the Henon-like Attractor with Frequency Factor

作　　者：王胜远[1] 刘玉怀[1] 孙晓红[2] 路轶群[1] 

机构地区：[1]中国科学院安徽光学精密机械研究所,合肥230031 [2]中国科学技术大学物理系,合肥230026

出　　处：《量子电子学报》1999年第4期306-309,共4页Chinese Journal of Quantum Electronics

摘　　要：本文是对类Henon吸引子的完善，讨论了频率因子对其相空间演化的影响，在一定的频率范围内，该吸引子的混沌特性能够保持，且具有明显的分形特性．但此频带非常窄．频带外吸引子或空间发散，或对精度要求苛刻，从而无法实现稳定的混沌．然后讨论了频率和位相对类Henon吸引子的共同影响．对各类相关吸引子的演化特性做了对比和总结．In this paper, we perfected the model of Henon-like attractor and discussed the influence to the phase space evolution of the attractor with frequecy factor. In a certain range of frequency, the chaotic characteristics of the attractor can be kept, with an obvious fratal mode, but the band of the frequency is too narrow.In certain cases the phase space of the attractor is compressed and converted into periodic behavior. Then we study the attractor with both the parameters of phase and frequency and compare the phase space evolution of the relevent attractors.

关 键 词：Henon吸引子 混沌 分形 李雅普诺夫指数 

分 类 号：O414.2[理学—理论物理]