Global Synchronization and Asymptotic Phases for a Ring of Identical Cells with Delayed Coupling

2011 ◽  
Vol 43 (4) ◽  
pp. 1667-1697 ◽  
Author(s):  
Chih-Wen Shih ◽  
Jui-Pin Tseng
Keyword(s):  
Global Synchronization ◽  
Delayed Coupling

Global synchronization and the challenges of building network awareness

2015 ◽  
Vol 22 (2) ◽  
pp. 36-39
Author(s):  
Alyssa B. Apsel ◽  
Enkhbayasgalan Gantsog
Keyword(s):  
Global Synchronization ◽  
Network Awareness

FREQUENCY-DOMAIN CRITERIA FOR GLOBAL SYNCHRONIZATION OF MULTISCROLL CHAOTIC SYSTEMS UNDER LINEAR FEEDBACK CONTROL

2010 ◽  
Vol 20 (07) ◽  
pp. 2165-2177 ◽  
Author(s):  
XIAOFENG WU ◽  
ZHIFANG GUI ◽  
GUANRONG CHEN
Keyword(s):  
Feedback Control ◽  
Frequency Domain ◽  
Chaotic Systems ◽  
Linear Feedback ◽  
Error Feedback ◽  
Linear Feedback Control ◽  
Global Synchronization ◽  
General Mathematical Model ◽  
Linear State ◽  
Absolute Stability Theory

This paper provides a unified approach for achieving and analyzing global synchronization of a class of master-slave coupled multiscroll chaotic systems under linear state-error feedback control. A general mathematical model for such a class of multiscroll chaotic systems is first established. Based on some special properties of such systems, two less-conservative frequency-domain criteria for the desirable global synchronization are rigorously proven by means of the absolute stability theory. The analysis is then applied to two master-slave coupled modified Chua's circuits, obtaining the corresponding simple and precise algebraic criteria for global synchronization, which are finally verified by numerical simulations.

scholarly journals Delayed coupling of logistic maps

2001 ◽  
Vol 64 (3) ◽  
Author(s):  
C. Masoller ◽  
Hugo L. D. de S. Cavalcante ◽  
J. R. Rios Leite
Keyword(s):  
Delayed Coupling

A Global Synchronization Theorem for a Class of Chaotic Systems

1998 ◽  
Vol 08 (06) ◽  
pp. 1363-1369 ◽  
Author(s):  
Xiao Fan Wang ◽  
Zhi Quan Wang
Keyword(s):  
Chaotic Systems ◽  
Drive System ◽  
Chaotic Oscillator ◽  
Error Feedback ◽  
Global Synchronization ◽  
Lur’E Systems ◽  
State Variable ◽  
Chaotic Lur’E Systems ◽  
Driving Signal

This Letter proposes a new synchronization theorem for a subclass of chaotic Lur'e systems. We take a specific state variable of the drive system as the driving signal. We prove that globally synchronization can be attained via the simple linear error feedback. The approach is illustrated using Chua's chaotic oscillator and a hyperchaotic oscillator.

Evidence of massive global synchronization and the consciousness

2014 ◽  
Vol 11 (1) ◽  
pp. 83-84 ◽  
Author(s):  
Subrata Ghosh ◽  
Satyajit Sahu ◽  
Anirban Bandyopadhyay
Keyword(s):  
Global Synchronization
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