一类具有冲击振子背景二维映象的V型阵发特征

应用科学学报 ›› 2003, Vol. 21 ›› Issue (2): 122-126.

一类具有冲击振子背景二维映象的V型阵发特征

赵金刚, 巢小刚, 王文秀, 汪颖梅, 张凯, 王旭明, 何大韧

扬州大学理学院物理系江苏扬州 225002

收稿日期:2002-02-04 修回日期:2002-10-09 出版日期:2003-06-10 发布日期:2003-06-10
作者简介:赵金刚(1978-),男,江苏淮安人,助教,硕士;何大韧(1941-),男,陕西西安人,教授,博导.
基金资助:
国家自然科学基金(10275053)

The Characteristics of Type V Intermittency Displayed in a Kind of Two-Dimensional Maps with a Background of Impact Oscillators

ZHAO Jin-gang, CHAO Xiao-gang, WANG Wen-xiu, WANG Ying-mei, ZHANG Kai, WANG Xu-ming, HE Da-ren

Department of Physics, College of Science, Yangzhou University, Yangzhou 225002, China

Received:2002-02-04 Revised:2002-10-09 Online:2003-06-10 Published:2003-06-10

摘要/Abstract

摘要： 在一类以冲击振子为背景的二维分段连续映象模型中观察到由周期运动向混沌转变的V型阵发道路.它具有两个特点:首先在使用作者提出的"穿越数"来描述周期轨道时,在穿越数-参数平面上可以观察到系统进入混沌之前展示的V型阵发前奏锁相阶梯,这个阶梯常常同时包含类似传统魔梯和类似多重魔梯的结构;其次所观察到的锁相阶梯之后出现的混沌吸引子都是系统函数不连续边界象集的归宿。

关键词: 冲击振子, V型阵发, 周期轨道, 混沌吸引子

Abstract: Type V intermittency is found to exist widely in a kind of two-dimensional maps with a background of impact oscillators. It has two characteristics. Firstly, the prelude phase-locking staircase to type V intermittency before entering chaos includes the traditional-like and multiple-like devil's staircase structures; secondly, the chaotic attractor appearing after the staircase is always the end-results of the image set of the discontinuous borderline.

Key words: periodic orbit, chaotic attractor, type V intermittency, impact oscillator

中图分类号:

O322
Q612

赵金刚, 巢小刚, 王文秀, 汪颖梅, 张凯, 王旭明, 何大韧. 一类具有冲击振子背景二维映象的V型阵发特征[J]. 应用科学学报, 2003, 21(2): 122-126.

ZHAO Jin-gang, CHAO Xiao-gang, WANG Wen-xiu, WANG Ying-mei, ZHANG Kai, WANG Xu-ming, HE Da-ren. The Characteristics of Type V Intermittency Displayed in a Kind of Two-Dimensional Maps with a Background of Impact Oscillators[J]. Journal of Applied Sciences, 2003, 21(2): 122-126.