A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis

This paper announces a new four-dimensional hyperchaotic system with a four-scroll attractor and discusses its dynamic properties such as Lyapunov exponents, phase portraits, Kaplan-Yorke dimension and equilibrium points. Our calculations show that the new hyperchaotic system has no equilibrium po...

Full description

Saved in:
Bibliographic Details
Main Authors: Mustafa, Mamat, Dolvis, L.G, Vaidyanathan, S., Jacques, K, Sambas, A., Sukono, .
Format: Conference or Workshop Item
Language:English
Published: 2019
Subjects:
Online Access:http://eprints.unisza.edu.my/1997/1/FH03-FIK-19-35714.pdf
http://eprints.unisza.edu.my/1997/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my-unisza-ir.1997
record_format eprints
spelling my-unisza-ir.19972020-11-29T01:36:15Z http://eprints.unisza.edu.my/1997/ A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis Mustafa, Mamat Dolvis, L.G Vaidyanathan, S. Jacques, K Sambas, A. Sukono, . QA Mathematics This paper announces a new four-dimensional hyperchaotic system with a four-scroll attractor and discusses its dynamic properties such as Lyapunov exponents, phase portraits, Kaplan-Yorke dimension and equilibrium points. Our calculations show that the new hyperchaotic system has no equilibrium point and hence it exhibits hidden attractor. Our new hyperchaotic system has three nonlinearities in total. A detailed bifurcation analysis has been presented for the new hyperchaotic system with four-scroll hidden attractor. Specifically, we discussed bifurcation analysis such as route to four-scroll hyperchaos, coexisting bifurcation, multistability, two parameter Lyapunov exponents and antimonotonicity. 2019 Conference or Workshop Item NonPeerReviewed text en http://eprints.unisza.edu.my/1997/1/FH03-FIK-19-35714.pdf Mustafa, Mamat and Dolvis, L.G and Vaidyanathan, S. and Jacques, K and Sambas, A. and Sukono, . (2019) A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis. In: 7th International Conference on Global Optimization and Its Application 2018, 30 August 2018, Bali; India.
institution Universiti Sultan Zainal Abidin
building UNISZA Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sultan Zainal Abidin
content_source UNISZA Institutional Repository
url_provider https://eprints.unisza.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mustafa, Mamat
Dolvis, L.G
Vaidyanathan, S.
Jacques, K
Sambas, A.
Sukono, .
A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis
description This paper announces a new four-dimensional hyperchaotic system with a four-scroll attractor and discusses its dynamic properties such as Lyapunov exponents, phase portraits, Kaplan-Yorke dimension and equilibrium points. Our calculations show that the new hyperchaotic system has no equilibrium point and hence it exhibits hidden attractor. Our new hyperchaotic system has three nonlinearities in total. A detailed bifurcation analysis has been presented for the new hyperchaotic system with four-scroll hidden attractor. Specifically, we discussed bifurcation analysis such as route to four-scroll hyperchaos, coexisting bifurcation, multistability, two parameter Lyapunov exponents and antimonotonicity.
format Conference or Workshop Item
author Mustafa, Mamat
Dolvis, L.G
Vaidyanathan, S.
Jacques, K
Sambas, A.
Sukono, .
author_facet Mustafa, Mamat
Dolvis, L.G
Vaidyanathan, S.
Jacques, K
Sambas, A.
Sukono, .
author_sort Mustafa, Mamat
title A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis
title_short A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis
title_full A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis
title_fullStr A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis
title_full_unstemmed A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis
title_sort new 4-d hyperchaotic system with four-scroll hidden attractor, its properties and bifurcation analysis
publishDate 2019
url http://eprints.unisza.edu.my/1997/1/FH03-FIK-19-35714.pdf
http://eprints.unisza.edu.my/1997/
_version_ 1685582805413658624
score 13.18916