najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2025-16-4-395-406najo-1429Research ArticleMATHEMATICSМАТЕМАТИКАA four-wing hyperchaotic attractor generated based on the Qi chaotic system and its application to high-speed encryptionЧетырехкрылый гиперхаотический аттрактор, созданный на основе хаотической системы Ци, и его применение для высокоскоростного шифрованияhttps://orcid.org/0009-0005-2866-6853ХанечеН.HanecheN.

Nabil Haneche - Applied Mathematics and Modeling Laboratory, Department of Mathematics

Constantine, 25000, Algeria

nabil.haneche@doc.umc.edu.dzhttps://orcid.org/0000-0001-8507-572XХамаизияТ.HamaiziaT.

Tayeb Hamaizia - Mathematical Modeling and Simulation Laboratory, Department of Mathematics

Constantine, 25000, Algeria

el.tayyeb@umc.edu.dzUniversity of Mentouri BrothersAlgeria202503092025164395406Copyright © Haneche N., Hamaizia T., 20252025Ханече Н., Хамаизия Т.Haneche N., Hamaizia T.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1429

Recently, chaos theory and its applications have garnered the attention of many scholars. In this paper, a novel 4D dynamical system that can generate a four-wing hyperchaotic attractor and a double-wing chaotic attractor is presented. The dynamical behavior of this system is investigated using several numerical tools, including bifurcation diagrams, the spectrum of Lyapunov exponents, and phase plots. It is shown that the proposed system has multiple positive Lyapunov exponents for a wide range of parameters, which establishes its hyperchaotic behavior. Additionally, the multistability of this system is analyzed carefully through the coexistence of periodic, chaotic, and hyperchaotic attractors. The hyperchaotic patterns of this system render it suitable for encrypting multimedia data. An efficient, fast, and secure audio cryptographic algorithm is developed based on the hyperchaotic sequences generated from this system. Experimental tests are carried out to verify the performance and security of the proposed encryption method.

В последнее время теория хаоса и её приложения привлекли внимание многих учёных. В данной статье представлена новая четырёхмерная динамическая система, способная генерировать четырёхкрылый гиперхаотический аттрактор и двухкрылый хаотический аттрактор. Динамическое поведение этой системы исследуется с использованием нескольких численных инструментов, включая бифуркационные диаграммы, спектр показателей Ляпунова и фазовые диаграммы. Показано, что предлагаемая система имеет несколько положительных показателей Ляпунова для широкого диапазона параметров, что определяет её гиперхаотическое поведение. Кроме того, мультистабильность этой системы тщательно анализируется посредством сосуществования периодических, хаотических и гиперхаотических аттракторов. Гиперхаотические паттерны этой системы делают её пригодной для шифрования мультимедийных данных. Разработан эффективный, быстрый и надёжный алгоритм аудиокриптографии, основанный на гиперхаотических последовательностях, сгенерированных этой системой. Проведены экспериментальные испытания для проверки производительности и безопасности предлагаемого метода шифрования.

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The authors declare that there are no conflicts of interest present.