EXPLORING THE CONTROL OF SPIRAL WAVES AND SPATIOTEMPORAL CHAOS BY STOCHASTIC AND CROSS-COUPLING METHOD

2013 ◽  
Vol 27 (23) ◽  
pp. 1350129 ◽  
Author(s):  
RUI ZHAO ◽  
WEI PAN ◽  
YU XUE
Keyword(s):  
Control Method ◽  
Coupling Model ◽  
Spatiotemporal Chaos ◽  
Spiral Waves ◽  
Excitable Media ◽  
Amplitude Analysis ◽  
Frequency Locking ◽  
Poisson Coefficient ◽  
Response System ◽  
The One

In this paper, we propose the stochastic and unidirectional cross-coupled control method between two-layer excitable media to suppress the spiral waves and spatiotemporal chaos. Four types of the drive-response system in such two-layer excitable media are studied. By performing many simulations, results illustrate the spiral waves and spatiotemporal chaos can be controlled to the desired target states like the target waves and traveling waves. Patterns obtained are obviously different from those of the one-to-one coupling model. Based on the method proposed by Henry, we have carefully studied the generalized synchronization between the drive and response system with the stochastic and cross-connecting points via amplitude analysis and computing Poisson coefficient. Moreover, there also exists the frequency locking phenomenon.

SUPPRESSING SPIRAL WAVES IN EXCITABLE MEDIA VIA UNIDIRECTIONAL COUPLING

2008 ◽  
Vol 22 (24) ◽  
pp. 4153-4161 ◽  
Author(s):  
YU QIAN ◽  
YU XUE ◽  
GUANG-ZHI CHEN
Keyword(s):  
Co Oxidation ◽  
Power Law ◽  
Coupling Strength ◽  
Control Method ◽  
Spiral Waves ◽  
Coupling Method ◽  
Excitable Media ◽  
Catalytic Co Oxidation ◽  
Unidirectional Coupling ◽  
High Control

A unidirectional coupling method to successfully suppress spiral waves in excitable media is proposed. It is shown that this control method has high control efficiency and is robust. It adapts to control of spiral waves for catalytic CO oxidation on platinum as well as for the FHN model. The power law n ~ c-k of control time steps n versus the coupling strength c for different models has been obtained.

Dynamics of pulses and spiral waves in excitable media with an anomalous diffusion

2016 ◽  
Vol 30 (20) ◽  
pp. 1650127 ◽  
Author(s):  
Guoyong Yuan ◽  
Xueping Bao ◽  
Shiping Yang ◽  
Guangrui Wang ◽  
Shaoying Chen
Keyword(s):  
Fractional Order ◽  
Anomalous Diffusion ◽  
Spiral Wave ◽  
Fractional Diffusion ◽  
Spiral Waves ◽  
Excitable Media ◽  
Diffusion Parameter ◽  
Positive Formula ◽  
Normal Diffusion ◽  
The One

Spiral waves and pulses in the excitable medium with an anomalous diffusion are studied. In the medium with an one-sided fractional diffusion in the [Formula: see text]-direction and a normal diffusion in the [Formula: see text]-direction, a pulse, traveling along the positive [Formula: see text]-direction, has a smaller velocity, which is different from the diffusion of a source in the other media. Its propagating velocity is a linear and increasing function of the square root of diffusion parameter, whose increasing rate depends on the fractional order. A minimal value of the diffusion parameter is needed for successfully propagating pulses, and the threshold becomes large with a decrease of the fractional order. For pulse trains, the frequency-locked bands are shifted along the increasing direction of the perturbation period when the fractional order is decreased. In the propagating process of a spiral wave, the tip drift is induced by the one-sided fractional diffusion, which may be explained by analyzing the SV area in front of the tip.

STOCHASTIC DRIVING AND COUPLING CONTROL METHOD TO SUPPRESS SPIRAL WAVES AND SPATIOTEMPORAL CHAOS AND ANALYSIS OF CORRELATION

2009 ◽  
Vol 19 (03) ◽  
pp. 1081-1086 ◽  
Author(s):  
TIAN HUANHUAN ◽  
XUE YU ◽  
LIANG YUJUAN ◽  
KANG SANJUN
Keyword(s):  
Power Law ◽  
Control Method ◽  
Spatiotemporal Chaos ◽  
Spiral Waves ◽  
Drive System ◽  
Minimum Time ◽  
Coupling Method ◽  
Complete Synchronization

In this paper, the stochastic driving and coupling method to effectively suppress the turbulence and spiral waves is proposed. It is confirmed that the drive system ensures the response achieves complete synchronization via the computation of the Pearson's coefficient γ. The minimum time units of achieving complete synchronization N versus the coupling proportion P takes on the power-law N ~ P-k.

CONTROL OF SPIRAL WAVES AND SPATIOTEMPORAL CHAOS WITH PERIODICAL SUBTHRESHOLD ORDERED WAVE PERTURBATIONS

2009 ◽  
Vol 20 (01) ◽  
pp. 85-96 ◽  
Author(s):  
LIANCHUN YU ◽  
GUOYONG ZHANG ◽  
JUN MA ◽  
YONG CHEN
Keyword(s):  
Spiral Wave ◽  
Spatial Arrangement ◽  
Spatiotemporal Chaos ◽  
Spiral Waves ◽  
Excitable Media ◽  
Effective Control ◽  
Control Time ◽  
System Variables

In this paper, we investigate the possibility to control the spiral waves and spatiotemporal chaos in an excitable media by subthreshold ordered waves, which is by definition in this paper the spatially ordered periodical subthreshold fluctuations of system variables. It is found that both the spiral wave and the spatiotemporal chaos could be driven out of the control domain by perturbation of periodical subthreshold ordered waves. The effective control time declines as the amplitude of subthreshold ordered waves are increased, or their frequencies are decreased. Furthermore, we show that the effectiveness of this method is also dependent on the spatial arrangement of the subthreshold ordered waves. We discuss the possible applications of this method, especially in the control of heart fibrillation.

scholarly journals Dynamic Modeling and Anti-Disturbing Control of an Electromagnetic MEMS Torsional Micromirror Considering External Vibrations in Vehicular LiDAR

Micromachines ◽  
2021 ◽  
Vol 12 (1) ◽  
pp. 69
Author(s):  
Yong Hua ◽  
Shuangyuan Wang ◽  
Bingchu Li ◽  
Guozhen Bai ◽  
Pengju Zhang
Keyword(s):  
Dynamic Model ◽  
Optical Switching ◽  
Control Method ◽  
Sliding Mode ◽  
Algorithm Design ◽  
Coupling Model ◽  
Micro Electro Mechanical Systems ◽  
Mems Technology ◽  
Torsional Micromirror ◽  
Dynamic Coupling Model

Micromirrors based on micro-electro-mechanical systems (MEMS) technology are widely employed in different areas, such as optical switching and medical scan imaging. As the key component of MEMS LiDAR, electromagnetic MEMS torsional micromirrors have the advantages of small size, a simple structure, and low energy consumption. However, MEMS micromirrors face severe disturbances due to vehicular vibrations in realistic use situations. The paper deals with the precise motion control of MEMS micromirrors, considering external vibration. A dynamic model of MEMS micromirrors, considering the coupling between vibration and torsion, is proposed. The coefficients in the dynamic model were identified using the experimental method. A feedforward sliding mode control method (FSMC) is proposed in this paper. By establishing the dynamic coupling model of electromagnetic MEMS torsional micromirrors, the proposed FSMC is evaluated considering external vibrations, and compared with conventional proportion-integral-derivative (PID) controls in terms of robustness and accuracy. The simulation experiment results indicate that the FSMC controller has certain advantages over a PID controller. This paper revealed the coupling dynamic of MEMS micromirrors, which could be used for a dynamic analysis and a control algorithm design for MEMS micromirrors.

scholarly journals The New Evolution for SIA Rotorcraft UAV Project

2010 ◽  
Vol 2010 ◽  
pp. 1-9 ◽  
Author(s):  
Juntong Qi ◽  
Dalei Song ◽  
Lei Dai ◽  
Jianda Han ◽  
Yuechao Wang
Keyword(s):  
Control Method ◽  
Test Bed ◽  
Advanced Control ◽  
Autonomous Mode ◽  
Chinese Academy Of Sciences ◽  
Aerial Vehicle ◽  
Active Modeling ◽  
Rotorcraft Uav ◽  
The One ◽  
Academy Of Sciences

This paper describes recent research on the design, implement, and testing of a new small-scaled rotorcraft Unmanned Aerial Vehicle (RUAV) system—ServoHeli-40. A turbine-powered UAV weighted less than 15 kg was designed, and its major components were tested at the Shenyang Institute of Automation, Chinese Academy of Sciences in Shenyang, China. The aircraft was designed to reach a top speed of more than 20 mps, flying a distance of more than 10 kilometers, and it is going to be used as a test-bed for experimentally evaluating advanced control methodologies dedicated on improving the maneuverability, reliability, as well as autonomy of RUAV. Sensors and controller are all onboard. The full system has been tested successfully in the autonomous mode using the multichannel active modeling controller. The results show that in a real windy environment the rotorcraft UAV can follow the trajectory which was assigned by the ground control station exactly, and the new control method is obviously more effective than the one in the past year's research.

Spiral waves in excitable media due to noise and periodic forcing

2011 ◽  
Vol 44 (9) ◽  
pp. 728-738 ◽  
Author(s):  
Guoyong Yuan ◽  
Lin Xu ◽  
Aiguo Xu ◽  
Guangrui Wang ◽  
Shiping Yang
Keyword(s):  
Spiral Waves ◽  
Excitable Media ◽  
Periodic Forcing
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