A New Simple 6D Hyperchaotic System with Non-Hyperbolic Equilibrium and Its Electronic Circuit

Al-Talib, Zaidoon Sh.; Al-Azzawi, Saad Fawzi

doi:10.1109/iccitm56309.2022.10031828

Cited by 2 publications

(1 citation statement)

References 40 publications

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“…In recent decades, there has been growing fascination with chaotic and hyperchaotic systems featuring higher-dimensional attractors. These novel chaotic systems have rapidly found applications in various scientific domains such as physics, including areas like laser dynamics [1], electrical circuits [2], [3], and synchronization. Additionally, chaos theory has been utilized in both scientific and technical fields, spanning robotics [4], neural networks [5], chemical processes [6], fuzzy logic [7], encryption [8], [9], and ecology [10].…”

Section: Introductionmentioning

confidence: 99%

A New 4D Hidden Hyperchaotic System with Higher Largest Lyapunov exponent and ‎its Synchronization

Al-Azzawi,

Hasan

2023

ijmscs

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Recently, the introducing high-dimensional systems with a larger Lyapunov exponent is very difficult and more complex. The paper introduces a new four-dimensional hyperchaotic system with a larger Lyapunov exponent compared with 15 works available in the literature. Th proposded system drive from the Lorenz-like system via a state feedback control approach and cosis of teight trems only. This system lacks equilibrium points but can generate hidden attractors. Two positive Lyapunov exponents (LE) indicating hyperchaotic behavior are identified. The mathematical properties of this dissipative hyperchaotic system are both theoretically and numerically presented, encompassing Lyapunov exponents, Lyapunov dimension (Kaplan-Yorke dimension), Multistability, and Hybrid ‎projective synchronization (HPS). Various dynamic behavior are observed such as hyperchaotic, chaotic, chaotic 2-tours, and periodic behaviors. The paper provides proof of the main results through theoretical analysis and numerical simulations conducted in MATLAB V2021.

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