Elimination of spiral chaos by pulse entrainment in the Aliev-Panfilov model

Sakaguchi, Hidetsugu; Kido, Yusuke

doi:10.1103/physreve.71.052901

Cited by 9 publications

(5 citation statements)

References 13 publications

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“…Recently, complex and heterogeneous networks of connections among oscillators have been shown to play an important role in physiological processes. A grid network of ventricular fibrillation can eliminate cardiac arrhythmia related to spiral waves in excitable media [4]. Entrainment mediated by direct photic inputs from eyes to the suprachiasmatic nucleus, which adapts mammals' circadian rhythms to periodic daily variation, is dependent on the topology of the connection among circadian oscillating neurons [5].…”

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confidence: 99%

Synchronization of Plant Circadian Oscillators with a Phase Delay Effect of the Vein Network

et al. 2007

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Synchronization phenomena in coupled circadian oscillators of plant leaves were investigated experimentally using bioluminescence technology for a clock gene. Analyzing the phase of circadian oscillation, the phase-wave propagations and the phase delay caused by the vein network were observed. We describe these phase dynamics using a two-layer model with coupled Stuart-Landau equations. Global synchronization of circadian oscillators in the leaf is also investigated.

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confidence: 99%

Synchronization of Plant Circadian Oscillators with a Phase Delay Effect of the Vein Network

et al. 2007

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“…An alternative method [17] for controlling spiral turbulence that also uses a grid of control points has been demonstrated for the Aliev-Panfilov model. Two layers of excitable media are considered, where the first layer represents the two-dimensional excitable media exhibiting spatiotemporal chaos that is to be controlled, and the second layer is a grid structure also made up of excitable media.…”

Section: A Applying Control Over a Meshmentioning

confidence: 99%

Controlling Spatiotemporal Chaos and Spiral Turbulence in Excitable Media

Sinha

Sridhar

2007

Handbook of Chaos Control

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Excitable media are a generic class of models used to simulate a wide variety of natural systems including cardiac tissue. Propagation of excitation waves in this medium results in the formation of characteristic patterns such as rotating spiral waves. Instabilities in these structures may lead to spatiotemporal chaos through spiral turbulence, which has been linked to clinically diagnosed conditions such as cardiac fibrillation. Usual methods for controlling such phenomena involve very large amplitude perturbations and have several drawbacks. There have been several recent attempts to develop low-amplitude control procedures for spatiotemporal chaos in excitable media which are reviewed in this paper. The control schemes have been broadly classified by us into three types: (i) global, (ii) non-global spatially-extended and (iii) local, depending on the way the control signal is applied, and we discuss the merits and drawbacks for each.

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“…Several methods have been proposed for eliminating nonlinear phenomena, including global nonfeedback control [14][15][16][17][18], local nonfeedback control [19][20][21][22][23][24][25][26][27][28][29][30][31][32], global feedback control [33][34][35], and local feedback control [36]. Moreover, numerous studies have shown theoretically and experimentally that waves and patterns can be controlled [37,38].…”

Section: Introductionmentioning

confidence: 99%

Proportional-integral control of propagating wave segments in excitable media

2017

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Numerical simulations are performed to demonstrate that proportional-integral control, one of the most commonly used feedback schemes in control engineering, can stabilize propagating wave segments in excitable media to a desired size. The proportional-integral controller measures the size of a wave segment and applies a spatially uniform signal to the medium. This controller has the following features: difficult trial-and-error adjustment is not necessary, wave segments can be stabilized to different sizes without readjusting the controller, and the wave segment size can be maintained even in media having position-dependent parameters.

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Elimination of spiral chaos by pulse entrainment in the Aliev-Panfilov model

Cited by 9 publications

References 13 publications

Synchronization of Plant Circadian Oscillators with a Phase Delay Effect of the Vein Network

Synchronization of Plant Circadian Oscillators with a Phase Delay Effect of the Vein Network

Controlling Spatiotemporal Chaos and Spiral Turbulence in Excitable Media

Proportional-integral control of propagating wave segments in excitable media

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