A novel chaotic system and its topological horseshoe

A novel chaotic system and its topological horseshoe

Based on the construction pattern of Chen, Liu and Qi chaotic systems, a new threedimensional (3D) chaotic system is proposed by developing Lorenz chaotic system. It’s found that when parameter e varies, the Lyapunov exponent spectrum keeps invariable, and the signal amplitude can be controlled by...

Full description

Bibliographic Details
Main Authors: Chunlai Li, Lei Wu, Hongmin Li, Yaonan Tong
Format: Article
Language:English
Published: Vilnius University Press 2013-01-01
Series:Nonlinear Analysis
Subjects:
chaotic system
invariable Lyapunov exponent spectrum
amplitude control
topological horseshoe
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/14032
id doaj-46b4d852b6a340969b82ad80efb2eb03
record_format Article
spelling doaj-46b4d852b6a340969b82ad80efb2eb032020-11-25T01:21:14ZengVilnius University PressNonlinear Analysis1392-51132335-89632013-01-01181A novel chaotic system and its topological horseshoeChunlai Li0Lei Wu1Hongmin Li2Yaonan Tong3Hunan Institute of Science and Technology, ChinaAir Force Paratrooper College, ChinaHunan Institute of Science and Technology, ChinaHunan Institute of Science and Technology, China Based on the construction pattern of Chen, Liu and Qi chaotic systems, a new threedimensional (3D) chaotic system is proposed by developing Lorenz chaotic system. It’s found that when parameter e varies, the Lyapunov exponent spectrum keeps invariable, and the signal amplitude can be controlled by adjusting e. Moreover, the horseshoe chaos in this system is investigated based on the topological horseshoe theory. http://www.journals.vu.lt/nonlinear-analysis/article/view/14032chaotic systeminvariable Lyapunov exponent spectrumamplitude controltopological horseshoe
collection DOAJ
language English
format Article
sources DOAJ
author Chunlai Li
Lei Wu
Hongmin Li
Yaonan Tong
spellingShingle Chunlai Li
Lei Wu
Hongmin Li
Yaonan Tong
A novel chaotic system and its topological horseshoe
Nonlinear Analysis
chaotic system
invariable Lyapunov exponent spectrum
amplitude control
topological horseshoe
author_facet Chunlai Li
Lei Wu
Hongmin Li
Yaonan Tong
author_sort Chunlai Li
title A novel chaotic system and its topological horseshoe
title_short A novel chaotic system and its topological horseshoe
title_full A novel chaotic system and its topological horseshoe
title_fullStr A novel chaotic system and its topological horseshoe
title_full_unstemmed A novel chaotic system and its topological horseshoe
title_sort novel chaotic system and its topological horseshoe
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2013-01-01
description Based on the construction pattern of Chen, Liu and Qi chaotic systems, a new threedimensional (3D) chaotic system is proposed by developing Lorenz chaotic system. It’s found that when parameter e varies, the Lyapunov exponent spectrum keeps invariable, and the signal amplitude can be controlled by adjusting e. Moreover, the horseshoe chaos in this system is investigated based on the topological horseshoe theory.
topic chaotic system
invariable Lyapunov exponent spectrum
amplitude control
topological horseshoe
url http://www.journals.vu.lt/nonlinear-analysis/article/view/14032
work_keys_str_mv AT chunlaili anovelchaoticsystemanditstopologicalhorseshoe
AT leiwu anovelchaoticsystemanditstopologicalhorseshoe
AT hongminli anovelchaoticsystemanditstopologicalhorseshoe
AT yaonantong anovelchaoticsystemanditstopologicalhorseshoe
AT chunlaili novelchaoticsystemanditstopologicalhorseshoe
AT leiwu novelchaoticsystemanditstopologicalhorseshoe
AT hongminli novelchaoticsystemanditstopologicalhorseshoe
AT yaonantong novelchaoticsystemanditstopologicalhorseshoe
_version_ 1725131501743374336

Similar Items