Title: A new four-dimensional two-scroll hyperchaos dynamical system with no rest point, bifurcation analysis, multi-stability, circuit simulation and FPGA design

Authors: Sundarapandian Vaidyanathan; Esteban Tlelo-Cuautle; Aceng Sambas; Leutcho Gervais Dolvis; Omar Guillén-Fernández

Addresses: Research and Development Centre, Vel Tech University, Chennai-600062, Tamil Nadu, India ' Department of Electronics (INAOE), Tonantzintla, Puebla 72840, Mexico ' Department of Mechanical Engineering, Universitas Muhammadiyah Taskimalaya, Tasikmalaya, Jawa Barat 46196, Indonesia ' Research Unit of Laboratory of Condensed Matter, Electronics and Signal Processing (UR-MACETS), Department of Physics, University of Dschang, Dschang, Cameroon; Department of Communications, Telecommunications and Information Technology, Technical University of Cluj-Napoca, 400027 Cluj-Napoca, Romania ' Department of Electronics (INAOE), Tonantzintla, Puebla 72840, Mexico

Abstract: This paper deals with the design of a new four-dimensional two-scroll hyperchaos dynamical system with three quadratic non-linear terms. The new two-scroll dynamical system does not possess any rest point suggesting the existence of hidden attractor. This paper provides a detailed analysis such as multistability, symmetry, coexisting hyperchaos attractors and bifurcation properties of the new hyperchaos dynamical system with two-scroll hidden attractor. We realise the dynamic equations of the two-scroll hyperchaos system with an electronic MultiSim circuit. Next, we build, design and implement the two-scroll hyperchaos system on FPGA.

Keywords: hyperchaos; hyperchaotic systems; bifurcations; FPGA; circuit design.

DOI: 10.1504/IJCAT.2020.107905

International Journal of Computer Applications in Technology, 2020 Vol.63 No.1/2, pp.147 - 159

Received: 20 Sep 2019
Accepted: 14 Oct 2019
Published online: 30 Jun 2020 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article