Adaptive modified function projective synchronization of multiple time-delayed chaotic Rossler system

2011 ◽  
Vol 375 (8) ◽  
pp. 1176-1178 ◽  
Author(s):  
K. Sebastian Sudheer ◽  
M. Sabir
Keyword(s):  
Projective Synchronization ◽  
Multiple Time ◽  
Function Projective Synchronization ◽  
Rossler System ◽  
Modified Function Projective Synchronization ◽  
Rössler System

scholarly journals Adaptive Modified Function Projective Synchronization of Uncertain Complex Dynamical Networks with Multiple Time-Delay Couplings and Disturbances

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Jie Fang ◽  
Na Liu ◽  
Junwei Sun
Keyword(s):  
Time Delay ◽  
Sufficient Conditions ◽  
Dynamic Network ◽  
Projective Synchronization ◽  
Definite Function ◽  
Multiple Time ◽  
Complex Dynamic ◽  
Reference Node ◽  
Function Projective Synchronization ◽  
Modified Function Projective Synchronization

This paper studies the modified function projective synchronization of uncertain complex dynamic network model with multiple time-delay couplings and external disturbances. Based on Lyapunov stability theory, the positive definite function is designed and the sufficient conditions of synchronization are given. Both the uncertain parameters and the unknown bounded disturbances are estimated in accordance with the adaptive laws. With the adaptive feedback controller, the complex dynamic network can synchronize with reference node by a scaling function matrix. The reference node can be periodic orbit, equilibrium point, or a chaotic attractor. Finally, two numerical simulations are offered to illustrate the effectiveness of the proposed method.

scholarly journals Analysis and modified function projective synchronization of integer and fractional-order autonomous Morse jerk oscillator

2021 ◽  
Vol 5 (2) ◽  
pp. 275-280
Author(s):  
Dongmo ERİC DONALD ◽  
Cyrille AİNAMON ◽  
Alex Stéphane KEMNANG TSAFACK ◽  
Nasr SAEED ◽  
Victor KAMDOUM ◽  
...  
Keyword(s):  
Fractional Order ◽  
Projective Synchronization ◽  
Function Projective Synchronization ◽  
Modified Function Projective Synchronization

Delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system

2016 ◽  
Vol 9 (2) ◽  
pp. 205-216 ◽  
Author(s):  
Ping He ◽  
Tao Fan
Keyword(s):  
Nonlinear Systems ◽  
Time Delays ◽  
Chaos Synchronization ◽  
Linear Matrix ◽  
Multiple Time ◽  
Content Type ◽  
Multiple Time Delays ◽  
Rossler System ◽  
Rössler System ◽  
And Algebra

Purpose – The purpose of this paper is with delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system. Design/methodology/approach – Based on linear matrix inequality and algebra Riccati matrix equation, the stabilization result is derived to guarantee asymptotically stable and applicated in chaos synchronization of Rössler chaotic system with multiple time-delays. Findings – A controller is designed and added to the nonlinear system with multiple time-delays. The stability of the nonlinear system at its zero equilibrium point is guaranteed by applying the appropriate controller signal based on linear matrix inequality and algebra Riccati matrix equation scheme. Another effective controller is also designed for the global asymptotic synchronization on the Rössler system based on the structure of delay-independent stabilization of nonlinear systems with multiple time-delays. Numerical simulations are demonstrated to verify the effectiveness of the proposed controller scheme. Originality/value – The introduced approach is interesting for delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system.

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