Constructing some discrete 4-D hyperchaotic systems

dc.contributor.authorDukuza, Njengele Kenneth Kennedy
dc.contributor.emailkenneth.dukuza@up.ac.zaen_ZA
dc.date.accessioned2022-03-24T13:21:25Z
dc.date.available2022-03-24T13:21:25Z
dc.date.issued2021
dc.description.abstractModeling real life phenomena often leads to complex nonlinear dynamics such as bifurcation and chaos. The study of such problems has attracted interest of many scientists over the past decades. In this paper, we present a method for constructing some discrete four dimensional (4-D) hyperchaotic systems. A nonclassical procedure for discretising autonomous 4-D continuous hyperchaotic systems is applied; a parameter is introduced in this process. By adjusting this parameter, until we obtain exactly two equal-positive Lyapunov exponents, a new discrete 4-D hyperchaotic system is realised. We prove that these discrete systems are bounded-input bounded-output (BIBO) stable. Our illustrative results show that the constructed discrete systems and their continuous counterparts have similar phase portraits.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianhj2022en_ZA
dc.description.urihttp://www.arctbds.comen_ZA
dc.identifier.citationDukuza, N.K.K. 2021, 'Constructing some discrete 4-D hyperchaotic systems', Annual Review of Chaos Theory, Bifurcations and Dynamical Systems, vol. 10, pp. 30-40.en_ZA
dc.identifier.issn2253-0371
dc.identifier.urihttp://hdl.handle.net/2263/84629
dc.language.isoenen_ZA
dc.publisherUniversity of Tébessaen_ZA
dc.rightsAnnual Review of Chaos Theory, Bifurcations and Dynamical Systems Vol. 10, (2021) 30-40, . This journal is published under the Creative Commons Attribution 4.0 International licenseen_ZA
dc.subjectChaosen_ZA
dc.subjectDifference equationsen_ZA
dc.subjectHyperchaosen_ZA
dc.subjectLyapunov exponentsen_ZA
dc.titleConstructing some discrete 4-D hyperchaotic systemsen_ZA
dc.typeArticleen_ZA

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