scholarly journals A single finite-time synchronization scheme of time-delay chaotic system with external periodic disturbance

2019 ◽  
Vol 2 (4) ◽  
pp. 333-346 ◽  
Author(s):  
Juanjuan Huang ◽  
◽  
Yan Zhou ◽  
Xuerong Shi ◽  
Zuolei Wang ◽  
...  
Keyword(s):  
Time Delay ◽  
Chaotic System ◽  
Finite Time ◽  
Time Synchronization ◽  
Periodic Disturbance ◽  
Synchronization Scheme ◽  
Delay Chaotic System

Hidden Chaotic Attractors and Synchronization for a New Fractional-Order Chaotic System

2019 ◽  
Vol 14 (8) ◽  
Author(s):  
Zuoxun Wang ◽  
Jiaxun Liu ◽  
Fangfang Zhang ◽  
Sen Leng
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Finite Time ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Chaotic Attractors ◽  
Finite Time Stability ◽  
Integer Order ◽  
Different Types ◽  
Synchronization Scheme

Although a large number of hidden chaotic attractors have been studied in recent years, most studies only refer to integer-order chaotic systems and neglect the relationships among chaotic attractors. In this paper, we first extend LE1 of sprott from integer-order chaotic systems to fractional-order chaotic systems, and we add two constant controllers which could produce a novel fractional-order chaotic system with hidden chaotic attractors. Second, we discuss its complicated dynamic characteristics with the help of projection pictures and bifurcation diagrams. The new fractional-order chaotic system can exhibit self-excited attractor and three different types of hidden attractors. Moreover, based on fractional-order finite time stability theory, we design finite time synchronization scheme of this new system. And combination synchronization of three fractional-order chaotic systems with hidden chaotic attractors is also derived. Finally, numerical simulations demonstrate the effectiveness of the proposed synchronization methods.

Global Lagged Finite-Time Synchronization of Two Chaotic Lur’e Systems Subject to Time Delay

2015 ◽  
Vol 25 (12) ◽  
pp. 1550161 ◽  
Author(s):  
Yun Chen ◽  
Xiaofeng Wu ◽  
Qian Lin
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Time Synchronization ◽  
Signal Transmission ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Lur’E Systems ◽  
Chaotic Lur’E Systems ◽  
Variable Substitution ◽  
Synchronization Scheme

This paper investigates the global lagged finite-time synchronization of the master-slave Lur’e systems subject to time delay of signal transmission. By designing a variable-substitution and feedback controller, a master-slave finite-time synchronization scheme for the Lur’e systems with time delay is built up. Two delay-independent global lagged finite-time synchronization criteria are proved in the forms of linear matrix inequalities (LMIs), and the corresponding settling time of synchronization is analytically estimated. The obtained LMI criteria are applied to Chua’s oscillators, obtaining some easily implemented algebraic criteria under various single-variable-substitution and feedback controller, which are then optimized to improve their conservative property. Finally, several numerical examples are illustrated to verify the effectiveness of the optimized criteria.

scholarly journals Observer-Based Synchronization Control for Coronary Artery Time-Delay Chaotic System

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 51222-51235 ◽  
Author(s):  
Jie Guo ◽  
Zhanshan Zhao ◽  
Fengdong Shi ◽  
Ruikun Wang ◽  
Shasha Li
Keyword(s):  
Coronary Artery ◽  
Time Delay ◽  
Chaotic System ◽  
Synchronization Control ◽  
Delay Chaotic System

scholarly journals Experimental study of generalized synchronization of a time-delay chaotic system

2010 ◽  
Vol 59 (4) ◽  
pp. 2281
Author(s):  
Chen Ju-Fang ◽  
Tian Xiao-Jian ◽  
Shan Jiang-Dong
Keyword(s):  
Experimental Study ◽  
Time Delay ◽  
Chaotic System ◽  
Generalized Synchronization ◽  
Delay Chaotic System
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