Paper Info
Title
A non-autonomous chaotic system with no equilibrium
Abstract
Recently, researchers showed that adding a stepwise control pulse to the Sprott C system (with two equilibrium points) can create a translational multi-butterfly attractor. In this research, a sinusoidal control pulse is added to a system with no equilibria. So, a non-autonomous chaotic system with no equilibria is designed and studied. The sinusoidal term causes an extension in the chaotic attractor. Dynamical behaviors of the proposed oscillator are studied. Bifurcation analysis by changing the frequency of the sinusoidal term shows its unbounded solution at some parameters. Also, bifurcation diagram of the oscillator by the force's strength is studied. Lyapunov exponents show that the oscillator has chaotic dynamics in the entire studied interval of force's strength. In addition, circuit implementation shows its feasibility.
Year
DOI
Venue
2021
10.1016/j.vlsi.2021.04.001
Integration
Keywords
DocType
Volume
Chaotic system,Non-autonomous,Sinusoidal force
Journal
79
ISSN
Citations 
PageRank 
0167-9260
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Changzhi Li100.34
Karthikeyan Rajagopal262.86
Fahimeh Nazarimehr3228.26
Yongjian Liu4426.54