https://doi.org/10.1140/epjp/i2018-12168-9
Regular Article
A novel parametrically controlled multi-scroll chaotic attractor along with electronic circuit design
1
Center for Nonlinear Dynamics, College of Engineering, Defense University, Debre Zeyit, Ethiopia
2
Department of Electronic and Automation, Vocational School of Hacıbektaş, Nevşehir Hacı Bektaş Veli University, Hacıbektaş, 50800, Nevşehir, Turkey
3
Dynamic Systems and Control Lab., Department of Mechanical Engineering, San Diego State University, San Diego, CA, USA
4
Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq
5
Department of Bio-medical engineering, Amirkabir University of Technology, Tehran, Iran
* e-mail: rkarthiekeyan@gmail.com
Received:
7
May
2018
Accepted:
26
July
2018
Published online:
6
September
2018
We propose a novel multi-scroll chaotic system captured through the Chua’s circuit. The novelty of our proposed multi-scroll system roots on the number of scrolls to be controlled by the parameters instead of changing the discontinuous functions repeatedly reported in the literature. We thoroughly investigate dynamical characteristics of the system using powerful tools of the nonlinear dynamic analysis including finite-time local Lyapunov exponents and bifurcation diagram. The practical feasibility of the proposed multi-scroll system is revealed through its electronic realization with off-the-shelf components.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018