A new modified WINDMI jerk system with exponential and sinusoidal nonlinearities, its bifurcation analysis, multistability, circuit simulation and synchronization design

• Autorzy: Mohamed Mohamad Afendee , Vaidyanathan Sundarapandian , Hannachi Fareh , Sambas Aceng , Darwin P.

Identyfikatory

DOI

10.24425/acs.2023.148878

• Języki publikacji: EN

Abstrakty

EN

In this work, a new 3-D modified WINDMI chaotic jerk system with exponential and sinusoidal nonlinearities is presented and its dynamical behaviours and properties are investigated. Firstly, some properties of the system are studied such as equilibrium points and their stability, Lyapunov exponents and Kaplan-Yorke dimension. Also, we study the new jerk system dynamics using numerical simulations and analyses, including phase portraits, Lyapunouv exponent spectrum, bifurcation diagram and Poincaré map, 0-1 test. Next, we exhibit that the new 3-D chaotic modified WINDMI jerk system has multistability with coexisting chaotic attractors. Moreover, we design an electronic circuit using MultiSim 14.1 for real implementation of the modified WINDMI chaotic jerk system. Finally, we design an active synchronization scheme for the complete synchronization of the modified WINDMI chaotic jerk systems via backstepping control.

Słowa kluczowe

EN

chaos; jerk systems; chaotic systems; Lyapunov exponents; bifurcation; multistability; circuit simulation; backstepping control

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2023
• Tom: Vol. 33, No. 4
• Strony: 711--735
• Opis fizyczny: Bibliogr. 33 poz., rys., wzory

Twórcy

autor

Mohamed Mohamad Afendee

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

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

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

• Larbi Tebessi University - Tebessi routede constantine, 12022, Tebessa, Algeria

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

autor

Sambas Aceng

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

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

autor

Darwin P.

• Department of Information Technology, Tagore Engineering College, Rathinamangalam, Chennai - 600127, Tamil Nadu, India

• https://orcid.org/0000-0002-2086-2017

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