Bifurcation analysis, circuit design and sliding mode control of a new multistable chaotic population model with one prey and two predators

• Autorzy: Vaidyanathan Sundarapandian , Benkouider Khaled , Sambas Aceng , Darwin P.

Identyfikatory

DOI

10.24425/acs.2023.145117

• Języki publikacji: EN

Abstrakty

EN

In this work, we report a new chaotic population biology system with one prey and two predators. Our new chaotic population model is derived by introducing two nonlinear interaction terms between the prey and predator-2 to the Samardzija-Greller population biology system (1988). We show that the new chaotic population biology system has a greater value of Maximal Lyapunov Exponent (MLE) than the Maximal Lyapunov Exponent (MLE) of the Samardzija-Greller population biology system (1988). We carry out a detailed bifurcation analysis of the new chaotic population biology system with one prey and two predators. We also show that the new chaotic population biology model exhibits multistability with coexisting chaotic attractors. Next, we use the integral sliding mode control (ISMC) for the complete synchronization of the new chaotic population biology system with itself, taken as the master and slave chaotic population biology systems. Finally, for practical use of the new chaotic population biology system, we design an electronic circuit design using Multisim (Version 14.0).

Słowa kluczowe

EN

population biology system; chaos; chaotic systems; synchronization; sliding mode control; Multisim; circuit simulation

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2023
• Tom: Vol. 33, No. 1
• Strony: 127--153
• Opis fizyczny: Bibliogr. 25 poz., rys., tab., wzory

Twórcy

autor

Vaidyanathan Sundarapandian

• Centre for Control Systems, Vel Tech University, 400 Feet Outer Ring Road, Avadi, Chennai-600092, Tamil Nadu, India

autor

Benkouider Khaled

• Non Destructive Testing Laboratory, Automatic Department, Jijel University, BP 98, 18000, Jijel, Algeria

autor

Sambas Aceng

• Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, West Java, Indonesia

autor

Darwin P.

• Department of Computer Science and Engineering, Rajalakshmi Institute of Technology, Kuthambakkam, Chennai-600 124, Tamil Nadu, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)