Periodic forcing of scroll rings and control of Winfree turbulence in excitable media

S. Alonso; F. Sagués; A. S. Mikhailov

doi:10.1063/1.2203589

Periodic forcing of scroll rings and control of Winfree turbulence in excitable media

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.2203589 ◽

2006 ◽

Vol 16 (2) ◽

pp. 023124 ◽

Cited By ~ 20

Author(s):

S. Alonso ◽

F. Sagués ◽

A. S. Mikhailov

Keyword(s):

Excitable Media ◽

Periodic Forcing ◽

And Control

Download Full-text

Spiral turbulence and spatiotemporal chaos: characterization and control in two excitable media

Physica A Statistical Mechanics and its Applications ◽

10.1016/s0378-4371(02)00499-5 ◽

2002 ◽

Vol 306 ◽

pp. 211-219 ◽

Cited By ~ 14

Author(s):

Rahul Pandit ◽

Ashwin Pande ◽

Sitabhra Sinha ◽

Avishek Sen

Keyword(s):

Spatiotemporal Chaos ◽

Excitable Media ◽

And Control

Download Full-text

Design and Control of Wave Propagation Patterns in Excitable Media

Science ◽

10.1126/science.1071265 ◽

2002 ◽

Vol 296 (5575) ◽

pp. 2009-2012 ◽

Cited By ~ 151

Author(s):

T. Sakurai

Keyword(s):

Wave Propagation ◽

Excitable Media ◽

And Control

Download Full-text

Spiral waves in excitable media due to noise and periodic forcing

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2011.06.013 ◽

2011 ◽

Vol 44 (9) ◽

pp. 728-738 ◽

Cited By ~ 6

Author(s):

Guoyong Yuan ◽

Lin Xu ◽

Aiguo Xu ◽

Guangrui Wang ◽

Shiping Yang

Keyword(s):

Spiral Waves ◽

Excitable Media ◽

Periodic Forcing

Download Full-text

From Neurons to Brain: Adaptive Self-Wiring of Neurons

Advances in Complex Systems ◽

10.1142/s0219525998000053 ◽

1998 ◽

Vol 01 (01) ◽

pp. 67-78 ◽

Cited By ~ 6

Author(s):

Ronen Segev ◽

Eshel Ben-Jacob

Keyword(s):

Growth Cones ◽

Natural World ◽

Excitable Media ◽

Chemical Signaling ◽

Glia Cells ◽

Navigation Strategy ◽

Chemical Waves ◽

Embryonic Morphogenesis ◽

And Control

During embryonic morphogenesis, a collection of individual neurons turns into a functioning network with unique capabilities. Only recently has this most staggering example of emergent process in the natural world, began to be studied. Here we propose a navigational strategy for neurites growth cones, based on sophisticated chemical signaling. We further propose that the embryonic environment (the neurons and the glia cells) acts as an excitable media in which concentric and spherical chemical waves are formed. Together with the navigation strategy, the chemical waves provide a mechanism for communication, regulation, and control required for the adaptive self-wiring of neurons.

Download Full-text

Limit Cycle Analysis and Control of the Dissipative Chaplygin Sleigh

Volume 2: Mechatronics; Estimation and Identification; Uncertain Systems and Robustness; Path Planning and Motion Control; Tracking Control Systems; Multi-Agent and Networked Systems; Manufacturing; Intelligent Transportation and Vehicles; Sensors and Actuators; Diagnostics and Detection; Unmanned, Ground and Surface Robotics; Motion and Vibration Control Applications ◽

10.1115/dscc2017-5193 ◽

2017 ◽

Cited By ~ 3

Author(s):

Vitaliy Fedonyuk ◽

Phanindra Tallapragada ◽

Yongqiang Wang

Keyword(s):

Limit Cycle ◽

Limit Cycles ◽

Horizontal Plane ◽

Translational Velocity ◽

Periodic Forcing ◽

Fluid System ◽

Chaplygin Sleigh ◽

Analysis Techniques ◽

And Control ◽

Gaining Insight

There are many types of systems in both nature and technology that exhibit limit cycles under periodic forcing. Sometimes, especially in swimming robots, such forcing is used to propel a body forward in a plane. Due to the complexity in studying a fluid system it is often useful to investigate the dynamics of an analogous land model. Such analysis can then be useful in gaining insight about and controlling the original fluid system. In this paper we investigate the behavior of the Chaplygin sleigh under the effect of viscous dissipation and sinusoidal forcing. This is shown to behave in a similar manner as certain robotic fish models. We then apply limit cycle analysis techniques to predict the behavior and control the net translational velocity of the sleigh in a horizontal plane.

Download Full-text

Suppression of Spiral Breakup in Excitable Media by Local Periodic Forcing

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127416502369 ◽

2016 ◽

Vol 26 (14) ◽

pp. 1650236

Author(s):

Guiquan Liu ◽

Heping Ying ◽

Honglei Luo ◽

Xiaoxia Liu ◽

Jinghua Yang

Keyword(s):

Ventricular Fibrillation ◽

Numerical Simulations ◽

Phase Diagrams ◽

Cardiac Arrhythmia ◽

Underlying Mechanism ◽

Spiral Waves ◽

Low Energy ◽

Excitable Media ◽

Periodic Forcing ◽

Cardiac Tissues

Lowered excitability leads to unstable meandering of spiral tip, which result in breakup of spiral waves into chaotic states induced by Doppler effects. This phenomenon is responsible for the transition from tachycardia to ventricular fibrillation in cardiac tissues. Numerical simulations show that low-energy local periodic forcing (LPF) applied around spiral tip can efficiently suppress the meandering behavior and consequently prevent spiral breakup. The controllable phase diagrams that describe the amplitude and period of LPF against excitability parameter are presented to illustrate the control region. The underlying mechanism of suppressing spiral meandering behavior is explored by greatly decreasing the radius of the meandering tip. The proposed scheme can potentially contribute to controlling cardiac arrhythmia.

Download Full-text