A new hyperjerk dynamical system with hyperchaotic attractor and two saddle-focus rest points exhibiting Hopf bifurcations, its hyperchaos synchronisation and circuit implementation

Author: 

Vaidyanathan, S
Moroz, I
Sambas, A

Publication Date: 

27 May 2020

Journal: 

International Journal of Modelling, Identification and Control

Last Updated: 

2020-10-14T08:08:45.2+01:00

Issue: 

4

Volume: 

33

DOI: 

10.1504/IJMIC.2019.107481

page: 

299-310

abstract: 

A new 4D dynamical hyperjerk system with hyperchaos is reported in this work. The proposed nonlinear mechanical system with hyperchaos has two saddle-focus rest points exhibiting Hopf bifurcations. A detailed bifurcation analysis of the new hyperjerk plant with theory and simulations is discussed. As a control application, an integral sliding mode controller has been designed for the global hyperchaos synchronisation of the new hyperjerk system with itself. Finally, a circuit model using MultiSim of the new hyperjerk system with hyperchaos is designed for practical implementation.

Symplectic id: 

1063515

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article