Comparative Analysis of the Chaotic Behavior of a Five-Dimensional Fractional Hyperchaotic System with Constant and Variable Order

A five-dimensional hyperchaotic system is a dynamical system with five state variables that exhibits chaotic behavior in multiple directions. In this work, we incorporated a 5D hyperchaotic system with constant- and variable-order Caputo and the Caputo–Fabrizio fractional derivatives. These fraction...

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Bibliographic Details
Published inFractal and fractional Vol. 8; no. 7; p. 421
Main Authors Alqahtani, Awatif Muflih, Chaudhary, Arun, Dubey, Ravi Shanker, Sharma, Shivani
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.07.2024
Subjects
Behavior
Chaos theory
Dimensional analysis
Dynamical systems
fractional derivative with constant order
fractional derivative with variable order
hyperchaotic system
Numerical analysis
numerical solutions
simulations
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Summary:A five-dimensional hyperchaotic system is a dynamical system with five state variables that exhibits chaotic behavior in multiple directions. In this work, we incorporated a 5D hyperchaotic system with constant- and variable-order Caputo and the Caputo–Fabrizio fractional derivatives. These fractional 5D hyperchaotic systems are solved numerically. Through simulations, the chaotic behavior of these fractional-order hyperchaotic systems is analyzed and a comparison between constant- and variable-order fractional hyperchaotic systems is presented.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract8070421