Determining Consecutive Periods of the Lorenz Maps

<p>Abstract</p> <p>Based on symbolic dynamics, the paper provides a satisfactory and necessary condition of existence for consecutive periodic orbits of the Lorenz maps. In addition, a new algorithm with computer assistance based on symbolic dynamics is proposed to find all periodi...

Full description

Bibliographic Details
Main Author:	Wang Fulai
Format:	Article
Language:	English
Published:	SpringerOpen 2010-01-01
Series:	Advances in Difference Equations
Online Access:	http://www.advancesindifferenceequations.com/content/2010/985982

id	doaj-d44fe798d1944d4b8026a4f3893cc386
record_format	Article
spelling	doaj-d44fe798d1944d4b8026a4f3893cc3862020-11-24T22:01:11ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-0120101985982Determining Consecutive Periods of the Lorenz MapsWang Fulai<p>Abstract</p> <p>Based on symbolic dynamics, the paper provides a satisfactory and necessary condition of existence for consecutive periodic orbits of the Lorenz maps. In addition, a new algorithm with computer assistance based on symbolic dynamics is proposed to find all periodic orbits up to a certain number with little computer time. Examples for consecutive periods of orbits are raised for the Lorenz maps. With a little variation, the theorems and algorithm can be applied to some other dynamic systems.</p> http://www.advancesindifferenceequations.com/content/2010/985982
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Wang Fulai
spellingShingle	Wang Fulai Determining Consecutive Periods of the Lorenz Maps Advances in Difference Equations
author_facet	Wang Fulai
author_sort	Wang Fulai
title	Determining Consecutive Periods of the Lorenz Maps
title_short	Determining Consecutive Periods of the Lorenz Maps
title_full	Determining Consecutive Periods of the Lorenz Maps
title_fullStr	Determining Consecutive Periods of the Lorenz Maps
title_full_unstemmed	Determining Consecutive Periods of the Lorenz Maps
title_sort	determining consecutive periods of the lorenz maps
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1839 1687-1847
publishDate	2010-01-01
description	<p>Abstract</p> <p>Based on symbolic dynamics, the paper provides a satisfactory and necessary condition of existence for consecutive periodic orbits of the Lorenz maps. In addition, a new algorithm with computer assistance based on symbolic dynamics is proposed to find all periodic orbits up to a certain number with little computer time. Examples for consecutive periods of orbits are raised for the Lorenz maps. With a little variation, the theorems and algorithm can be applied to some other dynamic systems.</p>
url	http://www.advancesindifferenceequations.com/content/2010/985982
work_keys_str_mv	AT wangfulai determiningconsecutiveperiodsofthelorenzmaps
_version_	1725841162867048448

Determining Consecutive Periods of the Lorenz Maps

Similar Items