Eur. Phys. J. Plus (2018) 133: 231
https://doi.org/10.1140/epjp/i2018-12053-7

Regular Article

A novel class of chaotic systems with different shapes of equilibrium and microcontroller-based cost-effective design for digital applications

¹ Center for Nonlinear Dynamics, Defence University, Bishoftu, Ethiopia
² Department of Electronic & Automation, Vocational School of Hacıbektaş, Nevşehir Hacı Bektaş Veli University, 50800 Hacıbektaş, Nevşehir, Turkey
³ School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam
⁴ Department of Biomedical Engineering, Amirkabir University of Technology, Tehran, Iran

^* e-mail: rkarthiekeyan@gmail.com

Received: 3 March 2018
Accepted: 4 May 2018
Published online: 20 June 2018

Abstract

Constructing chaotic systems with infinite equilibrium points has been of interest in recent years. Many chaotic systems with equilibrium points located on open and closed curve have been published in the literature. A few of these systems show artistic equilibrium shapes. In this paper we propose the generalized model of a third-order chaotic system. It shows different shapes of equilibria by a suitable selection of nonlinear function, while the other nonlinearities of the system are not changed. One of the proposed chaotic models, which is taken as an example, shows multistability with co-existing attractors. The electronic circuit implementation of the proposed system is also presented. Additionally, for digital engineering applications, the microcontroller-based design of the system is conducted as well. The numerical results, circuit implementation outputs and the results of the microcontroller-based design match with each other.