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Constructing a New Multi-Scroll Chaotic System and Its Circuit Design.
- Source :
- Mathematics (2227-7390); Jul2024, Vol. 12 Issue 13, p1931, 14p
- Publication Year :
- 2024
-
Abstract
- Multi-scroll chaotic systems have complex dynamic behaviors, and the multi-scroll chaotic system design and analysis of their dynamic characteristics is an open research issue. This study explores a new multi-scroll chaotic system derived from an asymptotically stable linear system and designed with a uniformly bounded controller. The main contributions of this paper are given as follows: (1) The controlled system can cause chaotic behavior with an appropriate control position and parameters values, and a new multi-scroll chaotic system is proposed using a bounded sine function controller. Meanwhile, the dynamical characteristics of the controlled system are analyzed through the stability of the equilibrium point, a bifurcation diagram, and Lyapunov exponent spectrum. (2) According to the Poincaré section, the existence of a topological horseshoe is proven using the rigorous computer-aided proof in the controlled system. (3) Numerical results of the multi-scroll chaotic system are shown using Matlab R2020b, and the circuit design is also given to verify the multi-scroll chaotic attractors. [ABSTRACT FROM AUTHOR]
- Subjects :
- LYAPUNOV exponents
SINE function
BIFURCATION diagrams
SYSTEMS design
LINEAR systems
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 13
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 178413634
- Full Text :
- https://doi.org/10.3390/math12131931