中国科学院紫金山天文台机构知识库
Advanced  
PMO OpenIR  > 毫米波和亚毫米波技术实验室  > 期刊论文
题名: Application of Indicators for Chaos in Chaotic Circuit Systems
作者: Ma, Da-Zhu; Long, Zhi-Chao; Zhu, Yu
刊名: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
出版日期: 2016
卷号: 26, 期号:11, 页码:1650182
英文摘要: Lyapunov exponent (LE), fast Lyapunov indicator (FLI), relative finite-time Lyapunov indicator (RLI), smaller alignment index (SALI), and generalized alignment index (GALI) are some of the available methods in most conservative systems. This study focuses on the effects of the above indicators on dissipative chaotic circuit systems such as the Lorenz system and a hyperchaotic model. Numerical experiments show that the performances of the chaos indicators in the hyperchaotic system are almost similar to those in the Lorenz system. These indicators clearly provide transition from chaotic to regular motion. However, FLI, RLI, SALI, and GALI cannot describe transition from chaos to hyperchaos. These indicators are also applied to study a new four-dimensional chaotic circuit system. The basic dynamic behaviors and structures are investigated analytically and numerically. The dynamic qualitative properties of individual orbits are observed using an oscilloscope. Moreover, the entire set of LE about the parameter is found to have three threshold values. Comparisons show that all chaos indicators are able to capture chaotic and periodic motion in chaotic circuit systems, but SALI displays significantly different behavior in several periodic orbits. SALI drops exponentially to zero for "morphologically regular" orbits that are actually unstable and sensitive to perturbation. This conclusion can also be confirmed by GALI.
WOS记录号: WOS:000387330700009
Citation statistics:
内容类型: 期刊论文
URI标识: http://libir.pmo.ac.cn/handle/332002/16828
Appears in Collections:毫米波和亚毫米波技术实验室_期刊论文

Files in This Item:
File Name/ File Size Content Type Version Access License
2016158.pdf(1415KB)期刊论文作者接受稿限制开放View 联系获取全文
Service
Recommend this item
Sava as my favorate item
Show this item's statistics
Export Endnote File
Google Scholar
Similar articles in Google Scholar
[Ma, Da-Zhu]'s Articles
[Long, Zhi-Chao]'s Articles
[Zhu, Yu]'s Articles
CSDL cross search
Similar articles in CSDL Cross Search
[Ma, Da-Zhu]‘s Articles
[Long, Zhi-Chao]‘s Articles
[Zhu, Yu]‘s Articles
Related Copyright Policies
Null
Social Bookmarking
Add to CiteULike Add to Connotea Add to Del.icio.us Add to Digg Add to Reddit
文件名: 2016158.pdf
格式: Adobe PDF
所有评论 (0)
暂无评论
 
评注功能仅针对注册用户开放,请您登录
您对该条目有什么异议,请填写以下表单,管理员会尽快联系您。
内 容:
Email:  *
单位:
验证码:   刷新
您在IR的使用过程中有什么好的想法或者建议可以反馈给我们。
标 题:
 *
内 容:
Email:  *
验证码:   刷新

Items in IR are protected by copyright, with all rights reserved, unless otherwise indicated.

 

 

Valid XHTML 1.0!
Copyright © 2007-2018  中国科学院紫金山天文台 - Feedback
Powered by CSpace