Generating a New Hyperchaotic Pan System Via State Feedback Control

This paper proposes a new four-dimensional continuous autonomous hyperchaotic system based on the 3D Pan system by introducing a nonlinear state feedback controller. Dynamical behaviors of the new system are analyzed, both theoretically and numerically, including equilibrium points, Lyapunov exponen...

Full description

Bibliographic Details
Main Author: Saad AL-Azzawi
Format: Article
Language:Arabic
Published: Mosul University 2012-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163714_a12774c7436f4e2883aa1f7b3796be9c.pdf
id doaj-9645902b7b964158a930353b44f7cf03
record_format Article
spelling doaj-9645902b7b964158a930353b44f7cf032020-11-25T04:00:20ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902012-12-019222924110.33899/csmj.2012.163714163714Generating a New Hyperchaotic Pan System Via State Feedback ControlSaad AL-Azzawi0Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, IraqThis paper proposes a new four-dimensional continuous autonomous hyperchaotic system based on the 3D Pan system by introducing a nonlinear state feedback controller. Dynamical behaviors of the new system are analyzed, both theoretically and numerically, including equilibrium points, Lyapunov exponents spectrum  stability and bifurcation , finally, an illustrative example is given.https://csmj.mosuljournals.com/article_163714_a12774c7436f4e2883aa1f7b3796be9c.pdfhyperchaosfeedback controllyapunov exponentpan systemstability
collection DOAJ
language Arabic
format Article
sources DOAJ
author Saad AL-Azzawi
spellingShingle Saad AL-Azzawi
Generating a New Hyperchaotic Pan System Via State Feedback Control
Al-Rafidain Journal of Computer Sciences and Mathematics
hyperchaos
feedback control
lyapunov exponent
pan system
stability
author_facet Saad AL-Azzawi
author_sort Saad AL-Azzawi
title Generating a New Hyperchaotic Pan System Via State Feedback Control
title_short Generating a New Hyperchaotic Pan System Via State Feedback Control
title_full Generating a New Hyperchaotic Pan System Via State Feedback Control
title_fullStr Generating a New Hyperchaotic Pan System Via State Feedback Control
title_full_unstemmed Generating a New Hyperchaotic Pan System Via State Feedback Control
title_sort generating a new hyperchaotic pan system via state feedback control
publisher Mosul University
series Al-Rafidain Journal of Computer Sciences and Mathematics
issn 1815-4816
2311-7990
publishDate 2012-12-01
description This paper proposes a new four-dimensional continuous autonomous hyperchaotic system based on the 3D Pan system by introducing a nonlinear state feedback controller. Dynamical behaviors of the new system are analyzed, both theoretically and numerically, including equilibrium points, Lyapunov exponents spectrum  stability and bifurcation , finally, an illustrative example is given.
topic hyperchaos
feedback control
lyapunov exponent
pan system
stability
url https://csmj.mosuljournals.com/article_163714_a12774c7436f4e2883aa1f7b3796be9c.pdf
work_keys_str_mv AT saadalazzawi generatinganewhyperchaoticpansystemviastatefeedbackcontrol
_version_ 1724451272064499712