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Image of Vibration Testing and System Dynamics
ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Changing Dynamics of the First, Second & Third Approximates of the Exponential Chaotic System & their Synchronization

Journal of Vibration Testing and System Dynamics 4(4) (2020) 337--361 | DOI:10.5890/JVTSD.2020.12.004

Ayub Khan, Lone Seth Jahanzaib, Pushali Trikha , Taqseer Khan

Department Of Mathematics, Jamia Millia Islamia, New Delhi,India

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Abstract

In this paper, an exponential chaotic system has been studied and its dynamical properties such as phase plots, time series, Lyapunov exponents, bifurcation diagrams, equilibrium points, Poincare sections etc. have been discussed and compared with its first, second and third approximate systems. The aim of this study is to highlight the entirely different dynamics of the approximations of exponential chaotic systems, where many studies simply replace the exponential chaotic system with its first approximation to study it. Also we have synchronized the chaotic systems and its approximations using a novel technique ``compound difference synchronization".

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