Study of Dynamical Properties and Effective of a State u for Hyperchaotic Pan Systems

Study of Dynamical Properties and Effective of a State u for Hyperchaotic Pan Systems

In this paper, we propose a new four-dimensional continuous autonomous hyperchaotic system which is built by adding a nonlinear controller to a three- dimensional chaotic Pan system. The new system is analyzed both theoretically and numerically by studying dynamical behaviors for this system, includ...

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Main Author: Saad AL-Azzawi
Format: Article
Language:Arabic
Published: Mosul University 2013-09-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
hyperchaos
lyapunov exponent
pan system
stability
bifurcation
Online Access:https://csmj.mosuljournals.com/article_163529_f36d5bebc396567a6f0cd5d771bad219.pdf
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spelling doaj-66ba6f3a83664697bf1c5c00dd5d85b92020-11-25T03:59:45ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902013-09-01103899910.33899/csmj.2013.163529163529Study of Dynamical Properties and Effective of a State u for Hyperchaotic Pan SystemsSaad AL-Azzawi0Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, IraqIn this paper, we propose a new four-dimensional continuous autonomous hyperchaotic system which is built by adding a nonlinear controller to a three- dimensional chaotic Pan system. The new system is analyzed both theoretically and numerically by studying dynamical behaviors for this system, including equilibrium points, Lyapunov exponents, stability and bifurcation, also we study the stability, bifurcation andsymmetry for another  four dimensional system which is generated by Pan in (2011) from the original system, we compared between two systems and found the difference between them. Finally, we show the effective  of state u on the  two systems.https://csmj.mosuljournals.com/article_163529_f36d5bebc396567a6f0cd5d771bad219.pdfhyperchaoslyapunov exponentpan systemstabilitybifurcation
collection DOAJ
language Arabic
format Article
sources DOAJ
author Saad AL-Azzawi
spellingShingle Saad AL-Azzawi
Study of Dynamical Properties and Effective of a State u for Hyperchaotic Pan Systems
Al-Rafidain Journal of Computer Sciences and Mathematics
hyperchaos
lyapunov exponent
pan system
stability
bifurcation
author_facet Saad AL-Azzawi
author_sort Saad AL-Azzawi
title Study of Dynamical Properties and Effective of a State u for Hyperchaotic Pan Systems
title_short Study of Dynamical Properties and Effective of a State u for Hyperchaotic Pan Systems
title_full Study of Dynamical Properties and Effective of a State u for Hyperchaotic Pan Systems
title_fullStr Study of Dynamical Properties and Effective of a State u for Hyperchaotic Pan Systems
title_full_unstemmed Study of Dynamical Properties and Effective of a State u for Hyperchaotic Pan Systems
title_sort study of dynamical properties and effective of a state u for hyperchaotic pan systems
publisher Mosul University
series Al-Rafidain Journal of Computer Sciences and Mathematics
issn 1815-4816
2311-7990
publishDate 2013-09-01
description In this paper, we propose a new four-dimensional continuous autonomous hyperchaotic system which is built by adding a nonlinear controller to a three- dimensional chaotic Pan system. The new system is analyzed both theoretically and numerically by studying dynamical behaviors for this system, including equilibrium points, Lyapunov exponents, stability and bifurcation, also we study the stability, bifurcation andsymmetry for another  four dimensional system which is generated by Pan in (2011) from the original system, we compared between two systems and found the difference between them. Finally, we show the effective  of state u on the  two systems.
topic hyperchaos
lyapunov exponent
pan system
stability
bifurcation
url https://csmj.mosuljournals.com/article_163529_f36d5bebc396567a6f0cd5d771bad219.pdf
work_keys_str_mv AT saadalazzawi studyofdynamicalpropertiesandeffectiveofastateuforhyperchaoticpansystems
_version_ 1724453041136992256

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