Control of Spatiotemporal Chaos via Nonlinear Feedback

2007 ◽  
Author(s):  
R. Zahra ◽  
M.R.J. Motlagh ◽  
B. Rezaie
Keyword(s):  
Spatiotemporal Chaos ◽  
Nonlinear Feedback

scholarly journals Synchronization of spatiotemporal chaos using nonlinear feedback functions

1997 ◽  
Vol 1 (3) ◽  
pp. 179-184 ◽  
Author(s):  
M. K. Ali ◽  
Jin-Qing Fang
Keyword(s):  
Spatiotemporal Chaos ◽  
Model Systems ◽  
Coupled Map Lattices ◽  
Nonlinear Feedback

Synchronization of spatiotemporal chaos is studied using the method of variable feedback with coupled map lattices as model systems. A variety of feedback functions are introduced and the diversity in their choices for synchronizing any given system is exemplified. Synchronization in the presence of noise and with sporadic feedback is also presented.

Controlling Spatiotemporal Chaos Using Nonlinear Feedback Functional Method

1997 ◽  
Vol 14 (11) ◽  
pp. 823-826 ◽  
Author(s):  
Fang Jin-qing ◽  
M K Ali ◽  
Fang Qing
Keyword(s):  
Functional Method ◽  
Spatiotemporal Chaos ◽  
Nonlinear Feedback

scholarly journals Nonlinear feedback control of spatiotemporal chaos in coupled map lattices

1998 ◽  
Vol 1 (4) ◽  
pp. 283-305 ◽  
Author(s):  
Jin-Qing Fang ◽  
M. K. Ali
Keyword(s):  
Dynamical Systems ◽  
Feedback Control ◽  
Nonlinear Control ◽  
Functional Method ◽  
Spatiotemporal Chaos ◽  
Numerical Results ◽  
Coupled Map Lattices ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Control And Synchronization

We describe a nonlinear feedback functional method for study both of control and synchronization of spatiotemporal chaos. The method is illustrated by the coupled map lattices with five different connection forms. A key issue addressed is to find nonlinear feedback functions. Two large types of nonlinear feedback functions are introduced. The efficient and robustness of the method based on the flexibility of choices of nonlinear feedback functions are discussed. Various numerical results of nonlinear control are given. We have not found any difficulty for study both of control and synchronization using nonlinear feedback functional method. The method can also be extended to time continuous dynamical systems as well as to society problems.

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