Synchronization and control of hyperchaotic complex Lorenz system

Gamal M. Mahmoud and Emad E. Mahmoud

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 12, 2286-2296

Abstract: The aim of this paper is to investigate the phenomenon of projective synchronization (PS) and modified projective synchronization (MPS) of hyperchaotic attractors of hyperchaotic complex Lorenz system which has been introduced recently in our work. The control problem of these attractors is also studied. Our system is a 6-dimensional continuous real autonomous hyperchaotic system. The active control method based on Lyapunov function is used to study PS and MPS of this system. The problem of hyperchaos control is treated by adding the complex periodic forcing. The control performances are verified by calculating Lyapunov exponents. Numerical simulations are implemented to verify the results of these investigations.

Keywords: Hyperchaotic; Chaos; Control; Synchronization; Complex (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:12:p:2286-2296

DOI: 10.1016/j.matcom.2010.03.012

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