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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 380436, 7 pages
http://dx.doi.org/10.1155/2013/380436
Research Article

Elegant Chaos in Fractional-Order System without Equilibria

Dipartimento Ingegneria Innovazione, Università del Salento, 73100 Lecce, Italy

Received 16 July 2013; Accepted 30 November 2013

Academic Editor: Rafael Martínez-Guerra

Copyright © 2013 Donato Cafagna and Giuseppe Grassi. 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 new fractional-order chaotic system with no equilibria is presented. The proposed system can be considered elegant in the sense given by Sprott (2010), since the corresponding system equations contain very few terms and the system parameters have a minimum of digits. The chaotic dynamics are analyzed using the predictor-corrector algorithm when the fractional-order of the derivative is 0.98. Finally, the presence of chaos is validated by applying different numerical methods.