Adaptive modified function projective synchronization between hyperchaotic Lorenz system and hyperchaotic Lu system with uncertain parameters

2009 ◽  
Vol 373 (41) ◽  
pp. 3743-3748 ◽  
Author(s):  
K. Sebastian Sudheer ◽  
M. Sabir
Keyword(s):  
Lorenz System ◽  
Projective Synchronization ◽  
Uncertain Parameters ◽  
Function Projective Synchronization ◽  
Lü System ◽  
Modified Function Projective Synchronization ◽  
Hyperchaotic Lorenz System ◽  
Hyperchaotic Lu System ◽  
Lu System

scholarly journals Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Yehong Yang ◽  
Guohua Cao
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Uncertain Parameters ◽  
Lyapunov Matrix Equation ◽  
Function Projective Synchronization ◽  
Partially Linear ◽  
Modified Function Projective Synchronization ◽  
Lyapunov Matrix ◽  
The Stability

This paper investigates the modified function projective synchronization between fractional-order chaotic systems, which are partially linear financial systems with uncertain parameters. Based on the stability theory of fractional-order systems and the Lyapunov matrix equation, a controller is obtained for the synchronization between fractional-order financial chaotic systems. Using the controller, the error systems converged to zero as time tends to infinity, and the uncertain parameters were also estimated so that the phenomenon of parameter distortion was effectively avoided. Numerical simulations demonstrate the validity and feasibility of the proposed method.

scholarly journals Adaptive Modified Function Projective Synchronization between Two Different Hyperchaotic Dynamical Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
M. M. El-Dessoky ◽  
M. T. Yassen ◽  
E. Saleh
Keyword(s):  
Dynamical Systems ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Unknown Parameters ◽  
Chen System ◽  
Adaptive Controllers ◽  
Function Projective Synchronization ◽  
Parameter Update Law ◽  
Modified Function Projective Synchronization ◽  
Hyperchaotic Lorenz System

This work investigates modified function projective synchronization between two different hyperchaotic dynamical systems, namely, hyperchaotic Lorenz system and hyperchaotic Chen system with fully unknown parameters. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived to achieve modified function projective synchronized between two diffierent hyperchaotic dynamical systems. Numerical simulations are presented to demonstrate the effectiveness of the proposed adaptive controllers.

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