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

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.

2016 ◽  
Vol 275 ◽  
pp. 305-316 ◽  
Author(s):  
A.G. Soriano-Sánchez ◽  
C. Posadas-Castillo ◽  
M.A. Platas-Garza ◽  
C. Cruz-Hernández ◽  
R.M. López-Gutiérrez

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

2016 ◽  
Vol 36 (11) ◽  
pp. 1119001
Author(s):  
陈潇潇 Chen Xiaoxiao ◽  
冯秀琴 Feng Xiuqin ◽  
姚治海 Yao Zhihai ◽  
田作林 Tian Zuolin ◽  
王驰 Wang Chi

2006 ◽  
Vol 16 (07) ◽  
pp. 1961-1976 ◽  
Author(s):  
I. M. KYPRIANIDIS ◽  
A. N. BOGIATZI ◽  
M. PAPADOPOULOU ◽  
I. N. STOUBOULOS ◽  
G. N. BOGIATZIS ◽  
...  

In this paper, we have studied the dynamics of two identical resistively coupled Chua's canonical circuits and have found that it is strongly affected by initial conditions, coupling strength and the presence of coexisting attractors. Depending on the coupling variable, chaotic synchronization has been observed both numerically and experimentally. Anti-phase synchronization has also been studied numerically clarifying some aspects of uncertainty in chaos synchronization.


2006 ◽  
Vol 16 (02) ◽  
pp. 269-280 ◽  
Author(s):  
WEN-WEI LIN ◽  
SHIH-FENG SHIEH ◽  
YI-QIAN WANG

In this paper, we study synchronization and asynchronization in a Coupled Lorenz-type Map Lattice (CLML). Lorenz-type map forms a chaotic system with an appropriate discontinuous function. We prove that in a CLML with suitable coupling strength, there is a subset of full measure in the phase space such that chaotic synchronization occurs for any orbit starting from this subset and there is a dense subset of measure zero in the phase space such that synchronization will never occur. We also provide numerical observations to explain our results.


2021 ◽  
Vol 11 (2) ◽  
pp. 92-107
Author(s):  
Aldino Rizki Prayoga ◽  
Meizul Zuki ◽  
Yusril Dany

PT Mitra Kerinci is a company established in West Sumatra Province which is engaged in tea plantations and tea processing in its factories. PT Mitra Kerinci produces an average of 7,000 kg or 7 tons of green tea shoots per day. The production process for processing tea shoots, the factory sometimes does not reach the production target in accordance with the production target of the company. The goal of research  to determine the amount of the contribution of the motion study to the standard time and determine the amount of the contribution of the standard time to the increase in productivity in the final drying process at Ball Tea station, the production of tea shoots at PT. Kerinci Partners. This research an experimental research type and uses the same subject research design (treatment by subject design), namely the treatment is imposed on the same subject. The results of time calculations after the motion study on the process flow map reached 15,676.02 seconds. Then proceed with the calculation of the cycle time which reaches 825.41 seconds with the actual standard deviation obtained at 3.58 and the standard deviation of the subgroup distribution is 1.79. After knowing the results of the average cycle time, the actual standard deviation and the standard deviation of the subgroup distribution, the data uniformity test was continued, starting with calculating the BKA and BKB. The BKA calculation results obtained 830.78 and the BKB reached 820.04. So that in the data uniformity test the results reached 0.908. In the series of movements of the left and right hands after the repair, a cycle time of 825.41 seconds / unit of Ball Tea was obtained from the previous time, reaching 906.66 units / Ball Tea and getting a time difference of 81.25 seconds. In the calculation of the standard time, the normal time calculation is carried out first, after it is known that the result of the adjustment calculation reaches 1.12 so that the normal time is obtained with a total of 924.45 seconds. Continue to calculate the standard time and the results reach 1423.65 seconds with an allowance of 54%. This contributed to an increase in productivity by 5.7%.


2012 ◽  
Author(s):  
Xiaoxiao Chen ◽  
Xiuqin Feng ◽  
Zhihai Yao ◽  
Zuolin Tian

2019 ◽  
Vol 31 (01) ◽  
pp. 2050011
Author(s):  
Bin Zhang ◽  
Ru-Hai Du ◽  
Sheng-Jun Wang ◽  
Shi-Xian Qu

Spatiotemporal patterns in the transition of phase synchronization in modular networks of coupled logistic maps are studied. The phase diagram of spatiotemporal patterns is presented by analyzing both the collective behavior of direction-phase and the changes of links connecting clusters of different phases. The spatiotemporal chaos is obtained when the coupling strength is weak. We show that the spatiotemporal chaos can be composed by clusters in periodic states. The region of periodic behaviors is independent of modularity. Then with decreasing coupling or increasing modularity, the system presents the same transition path from complete synchronization to cluster synchronization, except the network is close to fully connected networks. There are two distinctive scenarios from disordered behavior to an ordered state when the modularity ratio varies from one to zero. First, for networks with small modularity, the number of phase synchronized clusters decreases with the increasing of the coupling strength. Second, for networks with large modularity, the number of phase-synchronized clusters nonmonotonically changes with the coupling strength.


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