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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Dynamic Analysis of New Chaotic System with Five Scroll and Two Scroll Attractors: Offset Boosting and Total Amplitude Control, Adaptive Synchronization

Journal of Applied Nonlinear Dynamics 13(4) (2024) 631--642 | DOI:10.5890/JAND.2024.12.002

Rameshbabu Ramar, G. Mohanavel

Department of Electronics and Communication Engineering, V.S.B. Engineering College, Tamilnadu, India - 639111

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Abstract

In this research paper, a new 3-D chaotic system with infinitely many equilibrium points is introduced and analyzed various basic dynamic behaviors such as dissipativity, stability, Lyapunov exponents, etc. The detailed dynamic analysis of the proposed system is conducted using bifurcation, Lyapunov spectrum, and attractor diagram. It is interestingly noted that the proposed system can generate two-scroll, five-scroll, and a real butterfly-like chaotic attractor which can be used to improve the complexity of the system. Some other interesting features such as total amplitude control and offset boosting control also realized in the proposed system for various engineering applications. The numerical calculation and MATLAB simulation results indicate the rich chaotic dynamics in the proposed system. Furthermore, the adaptive synchronization of the proposed system is achieved with unknown system parameters.

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