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Complexity
Volume 2017 (2017), Article ID 3273408, 10 pages
https://doi.org/10.1155/2017/3273408
Research Article

Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms

National Institute of Applied Sciences and Technology (INSAT), Centre Urbain Nord, BP 676, 1080 Tunis Cedex, Tunisia

Correspondence should be addressed to Abir Lassoued

Received 28 June 2017; Revised 19 September 2017; Accepted 1 October 2017; Published 26 October 2017

Academic Editor: Dimitri Volchenkov

Copyright © 2017 Abir Lassoued and Olfa Boubaker. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A novel hyperchaotic system with fractional-order (FO) terms is designed. Its highly complex dynamics are investigated in terms of equilibrium points, Lyapunov spectrum, and attractor forms. It will be shown that the proposed system exhibits larger Lyapunov exponents than related hyperchaotic systems. Finally, to enhance its potential application, a related circuit is designed by using the MultiSIM Software. Simulation results verify the effectiveness of the suggested circuit.