[1]巢小刚,岳 明,沈小明.一个半耗散系统中的吸引子[J].常州大学学报(自然科学版),2012,(02):73-75.
　CHAO Xiao-gang,YUE Ming,SHEN Xiao-ming.Regular Attractors in a Semi-Dissipative System[J].Journal of Changzhou University(Natural Science Edition),2012,(02):73-75.
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一个半耗散系统中的吸引子()
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常州大学学报(自然科学版)[ISSN:2095-0411/CN:32-1822/N]

卷:
期数:
2012年02期
页码:
73-75
栏目:
数理科学
出版日期:
2012-03-30

文章信息/Info

Title:
Regular Attractors in a Semi-Dissipative System
作者:
巢小刚; 岳 明; 沈小明
常州大学 数理学院,江苏 常州 213164
Author(s):
CHAO Xiao-gang; YUE Ming; SHEN Xiao-ming
School of Mathematics and Physics, Changzhou University, Changzhou 213164, China
关键词:
半耗散系统;  耗散吸引子;  规则吸引子;  混合耗散性
Keywords:
semi-dissipative systems;  dissipative attractors;  regular attractors;  the mixed dissipative properties
分类号:
O 322
文献标志码:
A
摘要:
研究了一个由保守子映象和一个耗散子映象不可逆耦合而成的半耗散系统。在这样一个半耗散系统中,系统长时间、大范围的动力学行为由“混合耗散性”支配,数值计算表明该系统的动力学行为具有以下2个特征:耗散吸引子与规则吸引子共存; “混合耗散性”作用导致了耗散吸引子与规则吸引子的产生。
Abstract:
The thesis studies a semi-dissipative system which is an irreversible concatenation of a conservative map and a dissipative map. In such a semi-dissipative system, its dynamic behavior is determined by the mixed dissipative properties in a long time or large ranges. Our numerical calculation shows that the dynamic behavior of the system has the following two features: the coexistence of dissipative attractors and regular attractors; the mixed dissipative properties leading to the generation of dissipative attractors and regular attractors.

参考文献/References:

[1] 巢小刚.传统耗散性的动力学特性描述[J].江苏工业学院学报,2009,21(4):9-11.
[2]Boon Leong Lan,Clarence Yapp.Dissipative relativistic standard map:Periodic attractors and basin of attraction[J].Chaos,Solitions and Fractals,2008,37:1300-1304.
[3]Mitsuhiro Nakao.An attractor for a nonlinear dissipative wave equation of Kirchhoff type[J].J Math Anal Appl,2009,353:652-659.
[4]Rakshit B,Banerjee S. Existence of chaos in a piecewise smooth two-dimensional contractive map[J].Phys Lett A,2009,373:2922-2926.
[5]Wang Jian,Ding Xiao-Ling,Hu Banbi,et al. Characteristics of a Piecewise Smooth Area-Perserving Map[J]. Phys Rev E,2001,64:1-9.
[6]Jiang Y M,Lu Y Q,He D R, et al. A crisis of a stochastic web[J].Eur Phys J D,2004,29: 285-292.
[7]Shen Y,Dai J,Jiang Y M,et al. A fat fractal crisis in a quasi-dissipative system[J].Phys Lett A,2006,348:279-283.
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备注/Memo

备注/Memo:
基金项目:常州大学数理基金资助(ZMF09020024) 作者简介:巢小刚(1977—),男,江苏常州人,硕士,副教授,研究方向为非线性动力学。
更新日期/Last Update: 2012-03-30