Comparative Analysis of the Chaotic Behavior of a Five-Dimensional Fractional Hyperchaotic System with Constant and Variable Order
Awatif Muflih Alqahtani, Arun Chaudhary, Ravi Shanker Dubey, Shivani Sharma
Abstract
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.
Topics & Concepts
Constant (computer programming)ChaoticVariable (mathematics)Order (exchange)Statistical physicsMathematicsApplied mathematicsMathematical analysisComputer sciencePhysicsArtificial intelligenceEconomicsFinanceProgramming languageDifferential Equations and Numerical Methodsadvanced mathematical theoriesChaos control and synchronization