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A Novel Conservative Chaotic Circuit with a Cubic Root.

Authors :
Sun, Changchun
He, Kai
Xu, Qicheng
Zhang, Xinguo
Source :
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering. Dec2023, Vol. 33 Issue 15, p1-9. 9p.
Publication Year :
2023

Abstract

A new conservative chaotic system with a cubic root is constructed in this paper. The system has no equilibria. An offset parameter is introduced into the system. By modulating different offset parameters and corresponding initial conditions, multiple coexisting conservative chaotic attractors can be generated consequently. By replacing the offset parameter with an appropriate sign function, multiscroll conservative chaotic attractors can be generated effectively by connecting multiple coexisting chaotic attractors based on offset boosting. Moreover, the number of scrolls tend to be infinite. Finally, a novel chaotic circuit with a cubic root is designed successfully by connecting two multipliers in opposite directions. The hardware implementation of the chaotic circuit is also completed to further verify the existence of conservative chaos and the consistency with the numerical simulations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02181274
Volume :
33
Issue :
15
Database :
Academic Search Index
Journal :
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
Publication Type :
Academic Journal
Accession number :
174157877
Full Text :
https://doi.org/10.1142/S0218127423501833