A Class of Piecewise Linear Systems Without Equilibria With 3-D Grid Multiscroll Chaotic Attractors

In this brief a new class of piecewise linear dynamical system without equilibria which exhibits a 3-D grid multiscroll chaotic attractor is presented. The number of scrolls of the attractor generated can be easily changed by the number of linear parts of three piecewise constant functions. A partic...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2019-08, Vol.66 (8), p.1456-1460
Main Authors: Escalante-Gonzalez, R. J., Campos-Canton, E.
Format: Article
Language:English
Subjects:
Attractors (mathematics)
Circuits
Circuits and systems
Dynamical systems
Eigenvalues and eigenfunctions
Electronic circuits
Linear systems
Perturbation methods
Switches
systems without equilibrium
Three-dimensional displays
Trajectory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this brief a new class of piecewise linear dynamical system without equilibria which exhibits a 3-D grid multiscroll chaotic attractor is presented. The number of scrolls of the attractor generated can be easily changed by the number of linear parts of three piecewise constant functions. A particular system with a 3-D grid multiscroll attractor whose scrolls appear in an arrangement of 3 × 3 × 3 is taken as a case study. Moreover, an electronic circuit realization is proposed for the particular system and simulation data as well as experimental data is provided.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2018.2886526