Control and synchronization of spatiotemporal chaos

2008 ◽  
Vol 77 (1) ◽  
Author(s):  
Alexander Ahlborn ◽  
Ulrich Parlitz
Keyword(s):  
Spatiotemporal Chaos ◽  
Control And Synchronization

scholarly journals Control and synchronization of phase-conjugate wave spatiotemporal chaos system driven by CO2 laser

2011 ◽  
Vol 60 (10) ◽  
pp. 104213
Author(s):  
Zhu Jin-Chuan ◽  
Li Chen-Ren ◽  
Qi Jia-Yu ◽  
Ren Xu-Dong ◽  
Yue Xi-Shuang
Keyword(s):  
Co2 Laser ◽  
Spatiotemporal Chaos ◽  
Phase Conjugate ◽  
Chaos System ◽  
Control And Synchronization

scholarly journals Impulsive control and synchronization of spatiotemporal chaos

2005 ◽  
Vol 26 (2) ◽  
pp. 615-636 ◽  
Author(s):  
Anmar Khadra ◽  
Xinzhi Liu ◽  
Xuemin Shen
Keyword(s):  
Impulsive Control ◽  
Spatiotemporal Chaos ◽  
Control And Synchronization

Controlling and synchronizing the spatiotemporal chaos of photorefractive ring oscillators with coupling

2016 ◽  
Vol 30 (18) ◽  
pp. 1650236
Author(s):  
Xiaoxiao Chen ◽  
Xiuqin Feng ◽  
Zuolin Tian ◽  
Zhihai Yao
Keyword(s):  
Coupling Strength ◽  
Mutual Coupling ◽  
Chaotic Synchronization ◽  
Spatiotemporal Chaos ◽  
Ring Oscillator ◽  
Weak Noise ◽  
Time Calculation ◽  
Calculation Results ◽  
Control And Synchronization ◽  
Parameter Deviation

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.

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.

scholarly journals Electrically driven formation and dynamics of Pac-Man solitons in smectic A liquid crystals

2021 ◽  
Author(s):  
Yuan Shen ◽  
Ingo Dierking
Keyword(s):  
Liquid Crystals ◽  
Electric Field ◽  
Spatiotemporal Chaos ◽  
Practical Applications ◽  
Smectic A ◽  
Fundamental Science ◽  
Smectic A Liquid Crystals

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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