A Sinusoidally Driven Lorenz System and Circuit Implementation

A Sinusoidally Driven Lorenz System and Circuit Implementation

Another approach is developed for generating two-wing hyperchaotic attractor, four-wing chaotic attractor, and high periodic orbits such as period-14 from a sinusoidally driven based canonical Lorenz system. A sinusoidal function controller is introduced into a 3D autonomous Lorenz system, so that t...

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Main Authors: Chunyan Han, Simin Yu, Guangyi Wang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/706902
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spelling doaj-d961e7176d1347708c2d9ce3ff37d8362020-11-24T22:55:22ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/706902706902A Sinusoidally Driven Lorenz System and Circuit ImplementationChunyan Han0Simin Yu1Guangyi Wang2School of Automation, Guangdong University of Technology, Guangzhou 510006, ChinaSchool of Automation, Guangdong University of Technology, Guangzhou 510006, ChinaSchool of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaAnother approach is developed for generating two-wing hyperchaotic attractor, four-wing chaotic attractor, and high periodic orbits such as period-14 from a sinusoidally driven based canonical Lorenz system. A sinusoidal function controller is introduced into a 3D autonomous Lorenz system, so that the abovementioned various hyperchaotic attractors, chaotic attractors, and high periodic orbits can be obtained, respectively, by adjusting the frequency of the sine function. In addition, an analog circuit and a digital circuit are also designed and implemented, with experimental results demonstrated. Both numerical simulations and circuit implementation together show the effectiveness of the proposed systematic methodology.http://dx.doi.org/10.1155/2015/706902
collection DOAJ
language English
format Article
sources DOAJ
author Chunyan Han
Simin Yu
Guangyi Wang
spellingShingle Chunyan Han
Simin Yu
Guangyi Wang
A Sinusoidally Driven Lorenz System and Circuit Implementation
Mathematical Problems in Engineering
author_facet Chunyan Han
Simin Yu
Guangyi Wang
author_sort Chunyan Han
title A Sinusoidally Driven Lorenz System and Circuit Implementation
title_short A Sinusoidally Driven Lorenz System and Circuit Implementation
title_full A Sinusoidally Driven Lorenz System and Circuit Implementation
title_fullStr A Sinusoidally Driven Lorenz System and Circuit Implementation
title_full_unstemmed A Sinusoidally Driven Lorenz System and Circuit Implementation
title_sort sinusoidally driven lorenz system and circuit implementation
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description Another approach is developed for generating two-wing hyperchaotic attractor, four-wing chaotic attractor, and high periodic orbits such as period-14 from a sinusoidally driven based canonical Lorenz system. A sinusoidal function controller is introduced into a 3D autonomous Lorenz system, so that the abovementioned various hyperchaotic attractors, chaotic attractors, and high periodic orbits can be obtained, respectively, by adjusting the frequency of the sine function. In addition, an analog circuit and a digital circuit are also designed and implemented, with experimental results demonstrated. Both numerical simulations and circuit implementation together show the effectiveness of the proposed systematic methodology.
url http://dx.doi.org/10.1155/2015/706902
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AT guangyiwang asinusoidallydrivenlorenzsystemandcircuitimplementation
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AT siminyu sinusoidallydrivenlorenzsystemandcircuitimplementation
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