Synchronization of Chaotic Systems with Time Delay

2009 ◽  
pp. 209-267
Keyword(s):  
Time Delay ◽  
Chaotic Systems

scholarly journals Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 31908-31920
Author(s):  
Lixiong Lin ◽  
Qing Wang ◽  
Bingwei He ◽  
Yanjie Chen ◽  
Xiafu Peng ◽  
...  
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Time Synchronization

Robust control of time-delay chaotic systems

2003 ◽  
Vol 314 (1-2) ◽  
pp. 72-80 ◽  
Author(s):  
Changchun Hua ◽  
Xinping Guan
Keyword(s):  
Time Delay ◽  
Robust Control ◽  
Chaotic Systems

TIME-DELAY EMBEDDINGS OF IFS ATTRACTORS

Fractals ◽  
1999 ◽  
Vol 07 (02) ◽  
pp. 133-138
Author(s):  
SONYA BAHAR
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Periodic Orbits ◽  
Topological Structure ◽  
Chaotic Systems ◽  
Iterated Function System ◽  
Function System ◽  
Chaotic Attractors ◽  
Topological Characterization ◽  
Iterated Function

A modified type of iterated function system (IFS) has recently been shown to generate images qualitatively similar to "classical" chaotic attractors. Here, we use time-delay embedding reconstructions of time-series from this system to generate three-dimentional projections of IFS attractors. These reconstructions may be used to access the topological structure of the periodic orbits embedded within the attractor. This topological characterization suggests an approach by which a rigorous comparison of IFS attractors and classical chaotic systems may be attained.

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