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

被引：8

作者：

Alqahtani, Awatif Muflih ^{[1
]}

Chaudhary, Arun ^{[2
]}

Dubey, Ravi Shanker ^{[3
]}

Sharma, Shivani ^{[3
]}

机构：

[1] Shaqra Univ, Dept Math, Riyadh 11972, Saudi Arabia

[2] Univ Delhi, Rajdhani Coll, Dept Math, New Delhi 110015, Delhi, India

[3] AMITY Univ Rajasthan, Amity Sch Appl Sci, Dept Math, Jaipur 302002, India

来源：

FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 07期

关键词：

fractional derivative with constant order; fractional derivative with variable order; hyperchaotic system; numerical solutions; simulations;

D O I：

10.3390/fractalfract8070421

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：23

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