Eur. Phys. J. Special Topics 226, 3729–3745 (2017)
https://doi.org/10.1140/epjst/e2018-00031-y

Regular Article

A novel fractional-order chaotic system with specific topology: from proposing to FPGA implementation

¹ Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
² Biomedical Engineering Department, Qazvin Islamic Azad University, Qazvin, Iran
³ Institute for Advanced Study, Shenzhen University, Shenzhen, Guangdong 518060, P.R. China
⁴ Centre for Non-Linear Dynamics, Defense University, Bishoftu, Ethiopia
⁵ School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, P.R. China

^a e-mail: sajadjafari@aut.ac.ir

Received: 12 June 2017
Received in final form: 13 October 2017
Published online: 25 July 2018

Abstract

Designing and analyzing new nonlinear dynamic systems have gotten much interest and effort among scientist recently. Between these approaches, chaotic and fractional-order systems have specific position as they can describe real phenomenon more accurate than the classical methods. In this article, a new chaotic system with specific topological properties has been introduced and also fractional version of this chaotic system has been developed. Different analytical methods like statistical, bifurcation and bicoherence analyses have been done to show properties of the proposed system. Field programmable gate arrays (FPGAs) implementation of chaotic and fractional-order system is another new topic which have been done in this article to show the feasibility of the proposed fractional-order system.