Hyperchaotic secure communication via generalized function projective synchronization

2011 ◽  
Vol 12 (2) ◽  
pp. 1288-1299 ◽  
Author(s):  
Xiang-Jun Wu ◽  
Hui Wang ◽  
Hong-Tao Lu
Keyword(s):  
Secure Communication ◽  
Projective Synchronization ◽  
Generalized Function ◽  
Function Projective Synchronization ◽  
Generalized Function Projective Synchronization

Complete Switched Generalized Function Projective Synchronization of a Class of Hyperchaotic Systems With Unknown Parameters and Disturbance Inputs

2013 ◽  
Vol 136 (1) ◽  
Author(s):  
Fei Yu ◽  
Yun Song
Keyword(s):  
Numerical Simulations ◽  
Scaling Function ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Generalized Function ◽  
Unknown Parameters ◽  
Function Projective Synchronization ◽  
Parameter Update Law ◽  
Hyperchaotic Systems ◽  
Generalized Function Projective Synchronization

The concept of complete switched generalized function projective synchronization (CSGFPS) in practical type is introduced and the CSGFPS of a class of hyperchaotic systems with unknown parameters and disturbance inputs are investigated. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the states of a class of hyperchaotic systems asymptotically synchronized up to a desired scaling function and the unknown parameters are also estimated. In numerical simulations, the scaling function factors discussed in this paper are more complicated. Finally, the hyperchaotic Lorenz and hyperchaotic Lü systems are taken, for example, and the numerical simulations are presented to verify the effectiveness and robustness of the proposed control scheme.

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