Hyperchaotic Analysis and Adaptive Projective Synchronization of Nonlinear Dynamical System

Journal Article · Sun Oct 15 00:00:00 EDT 2017 · Computational Mathematics and Modeling

DOI:https://doi.org/10.1007/S10598-017-9378-X· OSTI ID:22811021

Khan, A., E-mail: [e-mail]; Bhat, M. A., E-mail: [e-mail] ^[1]

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1. Jamia Millia Islamia, Department of Mathematics (India)

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.

• OSTI ID: 22811021
• Journal Information: Computational Mathematics and Modeling, Vol. 28, Issue 4; Other Information: Copyright (c) 2017 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1046-283X
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
BIFURCATION
CHAOS THEORY
DYNAMICAL SYSTEMS
EQUILIBRIUM
LYAPUNOV METHOD
NONLINEAR PROBLEMS
SIMULATION
SYNCHRONIZATION