A New Feigenbaum-Like Chaotic 3D System

A New Feigenbaum-Like Chaotic 3D System

Based on Sprott N system, a new three-dimensional autonomous system is reported. It is demonstrated to be chaotic in the sense of having positive largest Lyapunov exponent and fractional dimension. To further understand the complex dynamics of the system, some basic properties such as Lyapunov expon...

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Main Authors: Huitao Zhao, Yiping Lin, Yunxian Dai
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/328143
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spelling doaj-06c27ac5959740c7a38b5b57398418022020-11-24T21:57:49ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/328143328143A New Feigenbaum-Like Chaotic 3D SystemHuitao Zhao0Yiping Lin1Yunxian Dai2Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, ChinaDepartment of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, ChinaDepartment of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, ChinaBased on Sprott N system, a new three-dimensional autonomous system is reported. It is demonstrated to be chaotic in the sense of having positive largest Lyapunov exponent and fractional dimension. To further understand the complex dynamics of the system, some basic properties such as Lyapunov exponents, bifurcation diagram, Poincaré mapping, and period-doubling route to chaos are analyzed with careful numerical simulations. The obtained results also show that the period-doubling sequence of bifurcations leads to a Feigenbaum-like strange attractor.http://dx.doi.org/10.1155/2014/328143
collection DOAJ
language English
format Article
sources DOAJ
author Huitao Zhao
Yiping Lin
Yunxian Dai
spellingShingle Huitao Zhao
Yiping Lin
Yunxian Dai
A New Feigenbaum-Like Chaotic 3D System
Discrete Dynamics in Nature and Society
author_facet Huitao Zhao
Yiping Lin
Yunxian Dai
author_sort Huitao Zhao
title A New Feigenbaum-Like Chaotic 3D System
title_short A New Feigenbaum-Like Chaotic 3D System
title_full A New Feigenbaum-Like Chaotic 3D System
title_fullStr A New Feigenbaum-Like Chaotic 3D System
title_full_unstemmed A New Feigenbaum-Like Chaotic 3D System
title_sort new feigenbaum-like chaotic 3d system
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2014-01-01
description Based on Sprott N system, a new three-dimensional autonomous system is reported. It is demonstrated to be chaotic in the sense of having positive largest Lyapunov exponent and fractional dimension. To further understand the complex dynamics of the system, some basic properties such as Lyapunov exponents, bifurcation diagram, Poincaré mapping, and period-doubling route to chaos are analyzed with careful numerical simulations. The obtained results also show that the period-doubling sequence of bifurcations leads to a Feigenbaum-like strange attractor.
url http://dx.doi.org/10.1155/2014/328143
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