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复金兹堡-朗道方程中螺旋波的共振漂移

Resonant drift of spiral waves in the complex ginzburg-landau equation.

作者信息

Biktasheva I V, Elkin Y E, Biktashev V N

机构信息

Institute for Mathematical Problems in Biology, 142292 Pushchino, Moscow region, Russia.

出版信息

J Biol Phys. 1999 Jun;25(2-3):115-27. doi: 10.1023/A:1005134901624.

DOI:10.1023/A:1005134901624
PMID:23345692
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3455966/
Abstract

Weak periodic external perturbations of an autowave medium can cause large-distance directed motion of the spiral wave. This happens when the period of the perturbation coincides with, or is close to the rotation period of a spiral wave, or its multiple. Such motion is called resonant or parametric drift. It may be used for low-voltage defibrillation of heart tissue. Theory of the resonant drift exists, but so far was used only qualitatively. In this paper, we show good quantitative agreement of the theory with direct numerical simulations. This is done for Complex Ginzburg-Landau Equation, one of the simplest autowave models.

摘要

自激波介质的弱周期性外部扰动可导致螺旋波的大距离定向运动。当扰动周期与螺旋波的旋转周期重合、接近或为其倍数时,就会发生这种情况。这种运动被称为共振漂移或参量漂移。它可用于心脏组织的低电压除颤。共振漂移理论是存在的,但迄今为止仅在定性方面得到应用。在本文中,我们展示了该理论与直接数值模拟的良好定量一致性。这是针对最简单的自激波模型之一——复金兹堡 - 朗道方程进行的。

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Finite-dimensional behavior in dissipative partial differential equations.耗散型偏微分方程中的有限维行为
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