Dynamic analysis and circuit realization of a new controllable hyperchaotic system

Yehia Lalili*, Toufik Bouden, Morad Grimes, Mustak E. Yalcin, Abderrazak Lachouri, Ersin Elbasi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Amidst the realm of hyper-chaotic systems, a notable deficiency is the absence of amplitude control and signal polarity. This paper addresses this limitation by introducing a new 4-D hyper-chaotic system with a hidden equilibrium-free attractor. The study focuses on amplitude control, achieved by adjusting a specific parameter, enabling manipulation of variable magnitudes while maintaining the overall signal. The offset boosting technique is investigated, enabling flexible shifting of the attractor in a desired direction. A real circuit experiment validates the proposed system’s practical applicability, confirming consistency with theoretical analysis and numerical simulations. Through introducing this new-found, the study holds significant importance for various fields, such as communications engineering and chaos-based cryptography, where precise control of signal characteristics is paramount.

Original languageEnglish
Article number035236
JournalPhysica Scripta
Issue number3
Publication statusPublished - 1 Mar 2024

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  • amplitude control
  • circuit implementation
  • dynamical analysis
  • hidden attractor
  • hyperchaotic system
  • offset boosting


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