Work

A Simple Chaotic System With Topologically Different Attractors

Year: 2019

Type: article

Abstract: There have been many different investigations of nonlinear dynamical systems. In this paper, we introduce a new chaotic system. In the proposed system, the attractor can be modified by adding a nonlinear term to the third state equation, thereby generating six different self-excited chaotic attractors. Some dynamical properties such as Hopf bifurcation, bifurcation diagrams, and multistability of the proposed system are investigated. The new system shows topologically different attractors for all six cases. We investigate two cases in depth. We also use nonlinear feedback control to drive the system to equilibrium, using two cases for illustration.

Source: IEEE Access

DOI: 10.1109/access.2019.2922164

Authors: Karthikeyan Rajagopal, Akif Akgul, Irene M. Moroz, Zhouchao Wei, Sajad Jafari, Iqtadar Hussain