类耗散系统的特性

doi:10.7523/j.issn.2095-6134.2003.2.012

中国科学院大学学报 ›› 2003, Vol. 20 ›› Issue (2): 196-199.DOI: 10.7523/j.issn.2095-6134.2003.2.012

类耗散系统的特性

姜玉梅¹, 陆云清¹, 巢小刚¹, 申影¹, 汪颖梅¹, 王文秀¹, 陈贺胜¹, 丁晓玲¹, 王旭明¹, 何大韧¹, 汪秉宏²

1. 扬州大学物理系及复杂性科学研究中心, 扬州 225002;
2. 中国科学技术大学近代物理系, 合肥 230026

收稿日期:2002-04-12 发布日期:2003-03-10
基金资助:
国家自然科学基金资助(19975039)

Characteristics of Quasi-Dissipative Systems

Jiang Yumei¹, Lu Yunqing¹, Chao Xiaogang¹, Shen Ying¹, Wang Yingmei¹, Wang Wenxiu¹, Chen Hesheng¹, Ding Xiaoling¹, Wang Xuming¹, HE Da Ren¹, Wang Binghong²

1. Department of Physics and Complexity Science Center of Yangzhou University, Yangzhou 225002, China;
2. Department of Modern Physics, University of Sience and Technology of China, Hefei 230026, China

Received:2002-04-12 Published:2003-03-10

摘要/Abstract

摘要：

介绍由保面积映像不连续、不可逆耦合构成的"类耗散系统",并以两个系统为例介绍类耗散系统的主要性质.这样的系统中会出现规则或混沌的,能把外部的迭代吸引过来的"类吸引子",但迭代一旦到达类吸引子,又会展示典型的保守性运动.这类系统中可能出现"类V形阵发",在适当的参数改变时,还可以展示从典型的保守系统向近似于耗散系统的连续转变.更多的特异性质还有待于继续研究.

关键词: 保面积映像, 耗散系统, 保守系统, 吸引子, V型阵发

Abstract:

Introduces so-called "quasi-dissipative systems" and their main characteristics with two sample systems. In such systems regular or chaotic quasi-attractors may appear, which can attract the iterations outside. However, as soon as the iterations reach the quasi-attractors, they perform typical conservative motion. There can be "type V quasi-intermittency" in the systems. Also, when a suitable parameter changes the system can display a continuous transition from a typical conservative system to a system that is very similar to a dissipative one. More characteristic properties are being studied and will be reported soon.

Key words: area-preserving map, dissipative system, conservative system, attractor, type V intermittency

中图分类号:

O322

姜玉梅, 陆云清, 巢小刚, 申影, 汪颖梅, 王文秀, 陈贺胜, 丁晓玲, 王旭明, 何大韧, 汪秉宏. 类耗散系统的特性[J]. 中国科学院大学学报, 2003, 20(2): 196-199.

Jiang Yumei, Lu Yunqing, Chao Xiaogang, Shen Ying, Wang Yingmei, Wang Wenxiu, Chen Hesheng, Ding Xiaoling, Wang Xuming, HE Da Ren, Wang Binghong. Characteristics of Quasi-Dissipative Systems[J]. , 2003, 20(2): 196-199.

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[2]	赵颖, 王斌, 季仲贞. 动力保守系统的一类双属性格式[J]. 中国科学院大学学报, 2002, 19(1): 82-85.

类耗散系统的特性

Characteristics of Quasi-Dissipative Systems

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