Using ergodicity of chaotic systems for improving the global properties of the delayed feedback control method

2009 ◽  
Vol 80 (6) ◽  
Author(s):  
Kestutis Pyragas ◽  
Viktoras Pyragas
Keyword(s):  
Feedback Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Global Properties ◽  
Feedback Control Method

scholarly journals Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Hui Fang
Keyword(s):  
Feedback Control ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Control Method ◽  
Chaotic Synchronization ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Rank One ◽  
Feedback Control Method ◽  
Synchronization Scheme

This paper illustrates the presence of chaos in rank-one chaotic systems with delay via a binary test (called 0-1 test) for chaos. Chaotic synchronization between two rank-one chaotic systems without and with delay is achieved by means of Lyapunov functional and linear delayed feedback control method. Numerical simulations are implemented to verify the effectiveness of the proposed chaos synchronization scheme.

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