Paper Info
Title
A Simple Nonautonomous Hidden Chaotic System With A Switchable Stable Node-Focus
Abstract
This paper presents a simple two-dimensional nonautonomous system, which possesses piecewise linearity constructed by a simple absolute value function. The nonautonomous system has only one switchable equilibrium state with a stable node-focus in the considered control parameter region but can generate periodic, chaotic and coexisting attractors. Therefore, the presented simple two-dimensional nonautonomous system always operates with hidden oscillations, which is not similar to any example reported in the literature. Furthermore, specific hidden dynamical behaviors are numerically disclosed by employing one-dimensional and two-dimensional bifurcation plots, phase plane plots, Poincare mappings, local attraction basins, and complexity plots. In addition, by utilizing the circuit module of the absolute value function, a multiplierless analog circuit is designed, based on which breadboard experiments are performed to validate the numerically simulated phase plane plots of coexisting attractors.
Year
DOI
Venue
2019
10.1142/S0218127419501682
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
Field
DocType
Nonautonomous system, stable node-focus, hidden oscillation, multiplierless circuit
Control theory,Chaotic,Mathematics
Journal
Volume
Issue
ISSN
29
12
0218-1274
Citations 
PageRank 
References 
0
0.34
0
Authors
6
Name
Order
Citations
PageRank
Bocheng Bao111919.50
Jiaoyan Luo200.34
Han Bao3238.84
Chengjie Chen431.39
Huagan Wu5113.87
Quan Xu6287.13