Hyperchaotic Analysis and Adaptive Projective Synchronization of Nonlinear Dynamical System
- Authors: Khan A.1, Bhat M.A.1
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Affiliations:
- Department of Mathematics, Jamia Millia Islamia
- Issue: Vol 28, No 4 (2017)
- Pages: 517-530
- Section: Article
- URL: https://journals.rcsi.science/1046-283X/article/view/247654
- DOI: https://doi.org/10.1007/s10598-017-9378-x
- ID: 247654
Cite item
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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