A new chaotic system with axe-shaped equilibrium, its circuit implementation and adaptive synchronization

• Autorzy: Vaidyanathan S. , Sambas A. , Mamat M.

Identyfikatory

DOI

10.24425/acs.2018.124711

• Języki publikacji: EN

Abstrakty

EN

In the recent years, chaotic systems with uncountable equilibrium points such as chaotic systems with line equilibrium and curve equilibrium have been studied well in the literature. This reports a new 3-D chaotic system with an axe-shaped curve of equilibrium points. Dynamics of the chaotic system with the axe-shaped equilibrium has been studied by using phase plots, bifurcation diagram, Lyapunov exponents and Lyapunov dimension. Furthermore, an electronic circuit implementation of the new chaotic system with axe-shaped equilibrium has been designed to check its feasibility. As a control application, we report results for the synchronization of the new system possessing an axe-shaped curve of equilibrium points.

Słowa kluczowe

EN

chaos; chaotic systems; curve equilibrium; Lyapunov exponents; circuit design; synchronization

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2018
• Tom: Vol. 28, No. 3
• Strony: 443--462
• Opis fizyczny: Bibliogr. 50 poz., rys., wykr., wzory

Twórcy

autor

Vaidyanathan S.

• Research and Development Centre, Vel Tech University, 400 Feet Outer Ring Road, Avadi, Chennai-60002, Tamil Nadu, India

autor

Sambas A.

• Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Malaysia, and Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia

autor

Mamat M.

• Faculty of Informatics and Computing Universiti Sultan Zainal Abidin Gong Badak, 21300 Kuala Terengganu, Terengganu, Malaysia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).