Function projective synchronization of Liu system and the new Lorenz system with known and unknown parameters

Function projective synchronization of Liu system and the new Lorenz system with known and unknown parameters

This Letter focuses on the function projective synchronization (FPS) of hyperchaotic Liu system and the hyperchaotic New Lorenz system. Within the two systems, we achieved the FPS at the first place through a proper control scheme. Furthermore, by designing the parameter update law, the adaptive fun...

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Hauptverfasser: Xuan Li, Wuneng Zhou, Siming Ma, Shicao Luo, Rui Chen
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Sprache:eng
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Adaptive control
Aerospace electronics
Chaotic communication
function projective synchronization
hyperchaotic system
Lyapunov methods
Lyapunov stability theorem
Synchronization
Vectors
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Wuneng Zhou
Siming Ma
Shicao Luo
Rui Chen
description This Letter focuses on the function projective synchronization (FPS) of hyperchaotic Liu system and the hyperchaotic New Lorenz system. Within the two systems, we achieved the FPS at the first place through a proper control scheme. Furthermore, by designing the parameter update law, the adaptive function projective synchronization (AFPS) is also achieved. Several numerical simulations are presented to show the feasibility and effectiveness of the method.
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subjects Adaptive control
Aerospace electronics
Chaotic communication
function projective synchronization
hyperchaotic system
Lyapunov methods
Lyapunov stability theorem
Synchronization
Vectors
title Function projective synchronization of Liu system and the new Lorenz system with known and unknown parameters
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