Hyperchaotic Analysis and Adaptive Projective Synchronization of Nonlinear Dynamical System


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Abstract

In this paper, a new nonlinear dynamical system has been studied which is obtained from the 3D chaotic system. The hyperchaotic analysis of the new system is checked in terms of dissipation, equilibrium points and their stability, Lyapunov exponent, time series, phase portraits, Poincaré section and bifurcation diagram. Furthermore, the adaptive projective synchronization technique is used to synchronize the novel hyperchaotic system. A brief theoretical analysis and simulation results are presented to prove the behavior of the novel hyperchaotic system.

About the authors

A. Khan

Department of Mathematics, Jamia Millia Islamia

Author for correspondence.
Email: akhan12@jmi.ac.in
India, New Delhi, 110025

M. A. Bhat

Department of Mathematics, Jamia Millia Islamia

Email: akhan12@jmi.ac.in
India, New Delhi, 110025

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