Control and synchronization of spatiotemporal chaos

2008 ◽  
Vol 77 (1) ◽  
Author(s):  
Alexander Ahlborn ◽  
Ulrich Parlitz
2011 ◽  
Vol 60 (10) ◽  
pp. 104213
Author(s):  
Zhu Jin-Chuan ◽  
Li Chen-Ren ◽  
Qi Jia-Yu ◽  
Ren Xu-Dong ◽  
Yue Xi-Shuang

2005 ◽  
Vol 26 (2) ◽  
pp. 615-636 ◽  
Author(s):  
Anmar Khadra ◽  
Xinzhi Liu ◽  
Xuemin Shen

2016 ◽  
Vol 30 (18) ◽  
pp. 1650236
Author(s):  
Xiaoxiao Chen ◽  
Xiuqin Feng ◽  
Zuolin Tian ◽  
Zhihai Yao

We present the control and synchronization of spatiotemporal chaos in the photo-refractive ring oscillator systems with coupling technology. First, we realize the synchronization of spatiotemporal chaos in the two photorefractive ring oscillator systems via mutual coupling by choosing a suitable coupling strength. With the mutual coupling strength enlarging, the two mutual coupling photorefractive ring oscillator systems are controlled into periodic state, period number differs on account of the coupling strength and lattice coordinates. By increasing the coupling strength, the photorefractive ring oscillator is converted into period 8, subsequently it is converted into periods 4 and 2, periodic synchronization of the photorefractive ring oscillator systems is achieved at the same time. Calculation results show that period 1 is impossible by mutual coupling technology. Then, we investigate the influence of noise and parameter deviation on chaotic synchronization. We find that mutual coupling chaotic synchronization method can synchronize two chaotic systems with the weak noise and parameter deviation and has very good robustness. Given that the weak noise and parameter deviation have a slight effect on synchronization. Furthermore, we investigate two dimension control and synchronization of spatiotemporal chaos in the photorefractive ring osillator systems with coupling technology and get successful results. Mutual coupling technology is suitable in practical photorefractive ring oscillator systems.


1998 ◽  
Vol 1 (4) ◽  
pp. 283-305 ◽  
Author(s):  
Jin-Qing Fang ◽  
M. K. Ali

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.


2021 ◽  
Author(s):  
Yuan Shen ◽  
Ingo Dierking

Electric field driven instabilities of liquid crystals, such as electro-convections, spatiotemporal chaos, backflows, and solitons are of great importance for both fundamental science and practical applications. Here we demonstrate that...


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