Dynamic analysis and circuit realization of a new controllable hyperchaotic system

Lalili Y., Bouden T., Grimes M., Yalçın M. E., Lachouri A., Elbasi E.

Physica Scripta, vol.99, no.3, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 99 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.1088/1402-4896/ad274e
  • Journal Name: Physica Scripta
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Keywords: amplitude control, circuit implementation, dynamical analysis, hidden attractor, hyperchaotic system, offset boosting
  • Istanbul Technical University Affiliated: Yes


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.