Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2024; 39(2): 547-562

Online first article April 19, 2024      Printed April 30, 2024

https://doi.org/10.4134/CKMS.c230201

Copyright © The Korean Mathematical Society.

Utilizing coupling strategy to generate a new simple 7d hyperchaotic system and its circuit application

Saad Fawzi Al-Azzawi

University of Mosul

Abstract

By utilizing coupling the strategy in the 5D Sprott B system, a new no equilibrium 7D hyperchaotic system is introduced. Despite the proposed system being simple with twelve-term, including solely two cross product nonlinearities, it displays extremely rich dynamical features such as hidden attractors and the dissipative and conservative nature. Besides, this system has largest Kaplan-Yorke dimension compared with to the work available in the literature. The dynamical properties are fully investigated via Matlab 2021 software from several aspects of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, offset boosting and so on. Moreover, the corresponding circuit is done through Multisim 14.2 software and preform to verify the new 7D system. The numerical simulations wit carryout via both software are agreement which indicates the efficiency of the proposed system.

Keywords: Coupling strategy, 5D Sprott B system, offset boosting, circuit implementation

MSC numbers: Primary 37A10, 34D08, 37L15

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