Global Exponential Projective Synchronization and Lag Synchronization of Hyperchaotic Lü System

2009 ◽  
Vol 51 (4) ◽  
pp. 679-683 ◽  
Author(s):  
Zhang Qun-Jiao ◽  
Lu Jun-An ◽  
Jia Zhen
Keyword(s):  
Projective Synchronization ◽  
Lag Synchronization ◽  
Lü System ◽  
Hyperchaotic Lu System ◽  
Lu System

Tracking the state of the delay hyperchaotic Lü system using the coullet chaotic system via a single controller

Complexity ◽  
2014 ◽  
Vol 21 (5) ◽  
pp. 125-130 ◽  
Author(s):  
Yan Zhou ◽  
Xuerong Shi ◽  
Zuolei Wang ◽  
Juanjuan Huang ◽  
Keming Tang ◽  
...  
Keyword(s):  
Chaotic System ◽  
The State ◽  
Lü System ◽  
Single Controller ◽  
Hyperchaotic Lu System ◽  
Lu System

Anti-Synchronization Control of the Complex Lu System

2014 ◽  
Vol 721 ◽  
pp. 269-272
Author(s):  
Fan Di Zhang
Keyword(s):  
Complex System ◽  
Fractional Order ◽  
Control Strategy ◽  
Stability Theorem ◽  
Projective Synchronization ◽  
Synchronization Control ◽  
Fractional Order Systems ◽  
Lü System ◽  
The Stability ◽  
Lu System

This paper propose fractional-order Lu complex system. Moreover, projective synchronization control of the fractional-order hyper-chaotic complex Lu system is studied based on feedback technique and the stability theorem of fractional-order systems, the scheme of anti-synchronization for the fractional-order hyper-chaotic complex Lu system is presented. Numerical simulations on examples are presented to show the effectiveness of the proposed control strategy.

scholarly journals Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Ping Cai ◽  
Jia-Shi Tang ◽  
Zhen-Bo Li
Keyword(s):  
Hopf Bifurcation ◽  
Control Strategy ◽  
State Feedback ◽  
Hybrid Control ◽  
Normal Form Theory ◽  
Lü System ◽  
Form Theory ◽  
Hyperchaotic Lu System ◽  
The Stability ◽  
Lu System

Controlling Hopf bifurcation of a new modified hyperchaotic Lü system is investigated in this paper. A hybrid control strategy using both state feedback and parameter control is proposed. The control strategy realizes the delay of Hopf bifurcation. Furthermore, by applying the normal form theory, the stability of the bifurcation is determined. Numerical simulation results are given to support the theoretical analysis.

Hybrid synchronization of hyperchaotic Lu system

Pramana ◽  
2009 ◽  
Vol 73 (4) ◽  
pp. 781-786 ◽  
Author(s):  
K. Sebastian Sudheer ◽  
M. Sabir
Keyword(s):  
Lü System ◽  
Hybrid Synchronization ◽  
Hyperchaotic Lu System ◽  
Lu System

IMPULSIVE SYNCHRONIZATION OF HYPERCHAOTIC LÜ SYSTEM

2011 ◽  
Vol 25 (27) ◽  
pp. 3671-3678 ◽  
Author(s):  
XING-YUAN WANG ◽  
MING-JUN WANG
Keyword(s):  
Numerical Simulations ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Impulsive Synchronization ◽  
Lü System ◽  
Feedback Strength ◽  
Hyperchaotic Lu System ◽  
Lu System

In this paper, the impulsive synchronization of hyperchaotic Lü systems is discussed. The sufficient conditions on feedback strength and impulsive interval are established to guarantee the synchronization. The method is proved true by Lyapunov stability theory. In addition, a scheme of impulsive synchronization via transmitting single signal is presented. Numerical simulations show the effectiveness of the methods.

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