scholarly journals Darboux integrability of the Lü system

2013 ◽  
Vol 63 ◽  
pp. 118-128 ◽  
Author(s):  
Jaume Llibre ◽  
Adam Mahdi ◽  
Clàudia Valls
Keyword(s):  
Darboux Integrability ◽  
Lü 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

THE NONEQUIVALENCE AND DIMENSION FORMULA FOR ATTRACTORS OF LORENZ-TYPE SYSTEMS

2013 ◽  
Vol 23 (12) ◽  
pp. 1350200 ◽  
Author(s):  
YUMING CHEN ◽  
QIGUI YANG
Keyword(s):  
Upper Bound ◽  
Analytical Formula ◽  
Type Systems ◽  
Lyapunov Dimension ◽  
Dimension Formula ◽  
Lü System ◽  
Suitable Parameter ◽  
Lu System

In this paper, Lü system with a set of chaotic parameters is proved to be smoothly nonequivalent to Chen and Lorenz systems with any parameter. The analytical formula for the upper bound of Lyapunov dimension of attractors in Lorenz-type systems are presented under some suitable parameter conditions. These properties studied in this paper may contribute to a better understanding of the Lorenz-type systems.

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.

Adaptive synchronization of Lü system with uncertain parameters

2004 ◽  
Vol 21 (3) ◽  
pp. 657-667 ◽  
Author(s):  
E.M. Elabbasy ◽  
H.N. Agiza ◽  
M.M. El-Dessoky
Keyword(s):  
Adaptive Synchronization ◽  
Uncertain Parameters ◽  
Lü System ◽  
Lu System

ON THE BOUNDNESS OF SOME SOLUTIONS OF THE LÜ SYSTEM

2012 ◽  
Vol 22 (01) ◽  
pp. 1250015 ◽  
Author(s):  
FUCHEN ZHANG ◽  
CHUNLAI MU ◽  
XIAOWU LI
Keyword(s):  
Lyapunov Function ◽  
Chaotic System ◽  
System Parameters ◽  
Lü System ◽  
Lu System

By constructing a suitable Lyapunov function, we show that for the Lü chaotic system parameters in some specified regions, the solutions of the system are globally bounded.

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