scholarly journals Observer-based approach for fractional-order chaotic synchronization and communication

2013 ◽  
Author(s):  
Ibrahima N'Doye ◽  
Mohamed Darouach ◽  
Holger Voos
Keyword(s):  
Fractional Order ◽  
Chaotic Synchronization

THREE SCHEMES TO SYNCHRONIZE CHAOTIC FRACTIONAL-ORDER RUCKLIDGE SYSTEMS

2007 ◽  
Vol 21 (12) ◽  
pp. 2033-2044 ◽  
Author(s):  
YANBIN ZHANG ◽  
TIANSHOU ZHOU
Keyword(s):  
Dynamical Systems ◽  
Fractional Order ◽  
System Parameter ◽  
Chaotic Synchronization ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Synchronization Problem ◽  
Alternate Choice ◽  
Parameter Values ◽  
Fractional Orders

The synchronization problem of chaotic fractional-order Rucklidge systems is studied both theoretically and numerically. Three different synchronization schemes based on the Pecora–Carroll principle, the linear feedback control and the bidirectional coupling are proposed to realize chaotic synchronization. It is shown that such schemes can achieve the same aim for the same set of system parameter values (including fractional orders). This provides an alternate choice for applications of fractional-order dynamical systems in engineering fields.

Chaotic synchronization of regular complex networks with fractional-order oscillators

2012 ◽  
Author(s):  
S. Y. Angulo-Guzman ◽  
C. Posadas-Castillo ◽  
D. A. Diaz-Romero ◽  
R. M. Lopez-Gutierrez ◽  
C. Cruz-Hernandez
Keyword(s):  
Complex Networks ◽  
Fractional Order ◽  
Chaotic Synchronization

GENERALIZED SYNCHRONIZATION OF FRACTIONAL ORDER CHAOTIC SYSTEMS

2011 ◽  
Vol 25 (09) ◽  
pp. 1283-1292 ◽  
Author(s):  
MING-JUN WANG ◽  
XING-YUAN WANG
Keyword(s):  
Theoretical Analysis ◽  
Fractional Order ◽  
Stability Theory ◽  
Chaotic Systems ◽  
Chaotic Synchronization ◽  
Generalized Synchronization ◽  
Fractional Order Systems ◽  
Different Dimensions ◽  
The Stability ◽  
Synchronization Scheme

In the paper, generalized chaotic synchronization of a class of fractional order systems is studied. Based on the stability theory of linear fractional order systems, a generalized synchronization scheme is presented, and theoretical analysis is provided to verify its feasibility. The proposed method can realize generalized synchronization not only of fractional order systems with same dimension, but also of systems with different dimensions. Besides, the function relation of generalized synchronization can be linear or nonlinear. Numerical simulations show the effectiveness of the scheme.

CHAOTIC SYNCHRONIZATION OF FRACTIONAL-ORDER MODIFIED COUPLED DYNAMOS SYSTEM

2009 ◽  
Vol 23 (31) ◽  
pp. 5769-5777 ◽  
Author(s):  
XINGYUAN WANG ◽  
YIJIE HE
Keyword(s):  
Fractional Order ◽  
Lorenz System ◽  
Chaotic Synchronization ◽  
The Self ◽  
Simulation Results ◽  
System Designs

This paper studies the problem of chaotic synchronization of the fractional-order modified coupled dynamos system, designs the activate controllers, and then proves that the self-synchronization of the fractional-order modified coupled dynamos system and the fractional-order modified coupled dynamos system's different structure synchronization with the fractional-order Lorenz system can both arrive theoretically. The simulation results demonstrate the validity of the activate controller.

scholarly journals A new fractional-order hyperchaotic system and it’s chaotic synchronization

2008 ◽  
Vol 57 (9) ◽  
pp. 5407
Author(s):  
Zhou Ping ◽  
Cheng Xue-Feng ◽  
Zhang Nian-Ying
Keyword(s):  
Fractional Order ◽  
Chaotic Synchronization ◽  
Hyperchaotic System
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