A new chaotic hyperjerk system with a half-line of equilibrium points, its dynamic analysis, multistability, circuit simulation and anti-synchronization via backstepping control

• Autorzy: Vaidyanathan Sundarapandian , Hannachi Fareh , Mohamed Mohamad Afendee , Sambas Aceng , Aruna Chittineni , Ramesh Repud

Identyfikatory

DOI

10.24425/acs.2025.153960

• Języki publikacji: EN

Abstrakty

EN

In this work, we present a new four-dimensional chaotic hyperjerk system with a half-line of equilibrium points. In the chaos literature, it is well-known that chaotic systems with an infinite number of equilibrium points exhibit hidden attractors. Thus, we deduce in this research work that the new chaotic hyperjerk system has hidden attractors. We next study the new chaotic hyperjerk system for a dynamic analysis using bifurcation plots and Lyapunov Exponents (LE) diagrams.We exhibit that the new hyperjerk system has a special property of multistability with coexisting attractors. Using Multisim version 14.2, we carry out an electronic circuit simulation for the proposed 4-D chaotic hyperjerk system with a half-line of equilibrium points. Finally, as an application in control engineering, we apply backstepping control for achieving antisynchronization of a pair of new chaotic hyperjerk systems taken as master-slave systems, which has important applications in communication systems.

Słowa kluczowe

EN

chaos; hyperjerk systems; chaotic systems; bifurcation; multistability; circuit simulation; anti-synchronization; backstepping control

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2025
• Tom: Vol. 35, No. 1
• Strony: 123--143
• Opis fizyczny: Bibliogr. 30 poz., fot., rys., wzory

Twórcy

autor

Vaidyanathan Sundarapandian

• Centre for Control Systems, Vel Tech University, 400 Feet Outer Ring Road, Avadi, Chennai-600062 Tamil Nadu, India
• Faculty of Information and Computing, Universiti Sultan Zainal Abidin Terengganu, Malaysia

• https://orcid.org/0000-0003-4696-908X

autor

Hannachi Fareh

• Department of Management Sciences, Echahid Cheikh Larbi Tebessi University, Route de Constantine, 12022, Tebessa, Algeria

• https://orcid.org/0000-0002-8213-2757

autor

Mohamed Mohamad Afendee

• Faculty of Information and Computing, Universiti Sultan Zainal Abidin, Terengganu, Malaysia

• https://orcid.org/0000-0001-5985-3970

autor

Sambas Aceng

• Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Gong Badak, 21300, Terengganu, Malaysia
• Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Jawa Barat 46196, Indonesia

• https://orcid.org/0000-0002-1623-0770

autor

Aruna Chittineni

• Department of Computer Science and Engineering, KKR & KSR Institute of Technology and Sciences, Vinjanampadu, Vatticherukuru Mandal, Guntur-522017, Andhra Pradesh, India

• https://orcid.org/0009-0005-4427-1093

autor

Ramesh Repud

• Department of Computer Science and Engineering, KKR & KSR Institute of Technology and Sciences, Vinjanampadu, Vatticherukuru Mandal, Guntur-522017, Andhra Pradesh, India

Bibliografia

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