A New DC Offset Boostable Chaotic System with Multistability, Coexisting Attractors and Its Adaptive Synchronization

Ramar, Rameshbabu; Vaidyanathan, Sundarapandian

doi:10.24200/sci.2023.62359.7794

A New DC Offset Boostable Chaotic System with Multistability, Coexisting Attractors and Its Adaptive Synchronization

Document Type : Article

Authors

¹ Department of Electronics and Communication Engineering , VSB Engineering College , Karur, Tamil Nadu, India - 639111

² Centre for Control Systems , Vel Tech University , 400 Feet Outer Ring Road, Vel Nagar, Avadi, Chennai-600062 , Tamil Nadu, India

10.24200/sci.2023.62359.7794

Abstract

In this paper, a new chaotic system with three sinusoidal nonlinearities
is reported. The basic behavior of the new chaotic system is analyzed by
means of equilibrium points, stability and Lyapunov exponents. The new
system has countably infinite number of equilibrium points, which is a
novel feature of the system. The new system has multiple interesting
features such as topologically different attractors, coexisting attractors,
offset boosted attractors and polarity reversed offset boosting attractors.
These special features are analyzed and verified using classical tools such
as bifurcation diagrams, Lyapunov exponent plots and attractor diagrams.
The bifurcation analysis and simulation results show that the proposed
system has rich chaotic dynamics. Furthermore, the adaptive control and
synchronization of the new system are achieved using nonlinear feedback
control methodology. MATLAB plots are shown to illustrate the control
results for the new chaotic system with three sinusoidal nonlinearities

Keywords