Synchronization of hyperchaotic Lorenz system based on passive control

Based on the property of a passive system, the essential conditions under which a hyperchaotic Lorenz system could be equivalent to a passive system via smooth state feedback are derived, making the minimum phase hyperchaotic Lorenz system globally asymptotically stabilized at zero and at any desired equilibrium points. The results of simulation on Matlab and the circuit experiment on EWB confirm the effectiveness of the proposed hyperchaos control method.

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A Novel Hash Function Based on Hyperchaotic Lorenz System

Advances in Soft Computing - Fuzzy Information and Engineering Volume 2 ◽

10.1007/978-3-642-03664-4_162 ◽

2009 ◽

pp. 1529-1536 ◽

Cited By ~ 1

Author(s):

Jun Peng ◽

Shang-zhu Jin ◽

Hai-ling Liu ◽

Wei Zhang

Keyword(s):

Hash Function ◽

Lorenz System ◽

Hyperchaotic Lorenz System

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A new image encryption algorithm based on the fractional-order hyperchaotic Lorenz system

Chinese Physics B ◽

10.1088/1674-1056/22/1/010504 ◽

2013 ◽

Vol 22 (1) ◽

pp. 010504 ◽

Cited By ~ 34

Author(s):

Zhen Wang ◽

Xia Huang ◽

Yu-Xia Li ◽

Xiao-Na Song

Keyword(s):

Image Encryption ◽

Fractional Order ◽

Lorenz System ◽

Encryption Algorithm ◽

Hyperchaotic Lorenz System ◽

Image Encryption Algorithm

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Generalized Projective Synchronization for Different Hyperchaotic Dynamical Systems

Discrete Dynamics in Nature and Society ◽

10.1155/2011/437156 ◽

2011 ◽

Vol 2011 ◽

pp. 1-19 ◽

Cited By ~ 2

Author(s):

M. M. El-Dessoky ◽

E. Saleh

Keyword(s):

Dynamical Systems ◽

Numerical Simulations ◽

Lorenz System ◽

Sufficient Conditions ◽

Projective Synchronization ◽

Hyperchaotic Lorenz System ◽

Generalized Projective Synchronization ◽

Hyperchaotic Systems

Projective synchronization and generalized projective synchronization have recently been observed in the coupled hyperchaotic systems. In this paper a generalized projective synchronization technique is applied in the hyperchaotic Lorenz system and the hyperchaotic Lü. The sufficient conditions for achieving projective synchronization of two different hyperchaotic systems are derived. Numerical simulations are used to verify the effectiveness of the proposed synchronization techniques.

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ACTIVE TRACKING CONTROL OF THE HYPERCHAOTIC LORENZ SYSTEM

Modern Physics Letters B ◽

10.1142/s0217984908016534 ◽

2008 ◽

Vol 22 (19) ◽

pp. 1859-1865 ◽

Cited By ~ 3

Author(s):

XINGYUAN WANG ◽

DAHAI NIU ◽

MINGJUN WANG

Keyword(s):

Numerical Simulation ◽

Tracking Control ◽

Chaotic Systems ◽

Lorenz System ◽

The Self ◽

Hyperchaotic System ◽

Reference Signals ◽

Tracking Controller ◽

Hyperchaotic Lorenz System ◽

Simulation Results

A nonlinear active tracking controller for the four-dimensional hyperchaotic Lorenz system is designed in the paper. The controller enables this hyperchaotic system to track all kinds of reference signals, such as the sinusoidal signal. The self-synchronization of the hyperchaotic Lorenz system and the different-structure synchronization with other chaotic systems can also be realized. Numerical simulation results show the effectiveness of the controller.

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