Numerical Simulation of Responses of Spiral Wave to External Vector Field for Complex Ginzburg-Landau Equation

Ji Wanxin

您当前的位置：

首页 >

文章列表页 >

Numerical Simulation of Responses of Spiral Wave to External Vector Field for Complex Ginzburg-Landau Equation

更新时间：2025-12-08

- Numerical Simulation of Responses of Spiral Wave to External Vector Field for Complex Ginzburg-Landau Equation
- Vol. 41, Issue 10, Pages: 1242-1244+1247(2007)
- 作者机构：
  
  西安交通大学理学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175.29
- Online First：10 October 2007，
  
  Published：2007
- 稿件说明：
移动端阅览
Ji Wanxin. Numerical Simulation of Responses of Spiral Wave to External Vector Field for Complex Ginzburg-Landau Equation[J]. 2007, 41(10): 1242-1244+1247.
DOI：

Ji Wanxin. Numerical Simulation of Responses of Spiral Wave to External Vector Field for Complex Ginzburg-Landau Equation[J]. 2007, 41(10): 1242-1244+1247. DOI：

摘要

针对反应扩散时序振荡系统螺旋波外力场响应缺乏定量化研究的情况

采用龙格-库塔算法对复金兹伯格-朗道方程螺旋波解的外均匀矢量场响应进行了数值模拟.发现在实均匀外矢量场作用下

螺旋波斑图中心不但沿外矢量场方向做匀速直线运动

速度为矢量场的场强

而且还具有沿垂直于外矢量场方向的速度分量

该速度分量是平行方向速度分量的4%.在外均匀虚矢量场的作用下

除了螺旋波斑图中心做匀速直线运动外

螺旋波斑图的臂沿外矢量场方向的一侧变密

而逆外矢量场方向的一侧变疏

其中形变随外均匀矢量场的强度增强而变大.

Abstract

For lack of quantitative studies concerning the external force field effects on the spiral wave in oscillation reaction diffusion system

the solution of spiral wave in complex Ginzburg-Landau equation is simulated numerically with Runge-Kutta algorithm. For real uniform external vector field

it is found that the core of the spiral wave travels uniformly along the vector fieldwith its velocity equal to the strength of the vector field

and a vertical component about 4% of the parallel component exists. The simulation shows that the core of the spiral wave moves uniformly along a straightly line under constant imaginary vector field. The arms of the spiral wave become close along the vector field and vice versa

in which the deformation of the spiral wave increases with the enlarging strength of the vector field.

关键词

Keywords

references

Holden A V, Markus M, Othmer H G. Nonlinear wave in excitable media[M]. New York: Plenum, 1991.

Tritton D J. Physical fluid dynamics[M]. 2nd ed. New York: Oxford University Press, 1992.

欧阳颀. 反应扩散系统中的斑图动力学[M]. 上海:上海科技教育出版社, 2000.

Gray R A, Pertsov A M, Jalife J. Spatial and temporal organization during cardiac fibrillation[J]. Nature, 1998, 392(6671): 75-78.

Munuzuri A P, Innocenti C, Flesselles J M, et al. Elastic excitable medium[J]. Phys Rev: E, 1994, 50(2): R667-R670.

Steinbock O, Schütze J, Müller S C. Electric-field-induced drift and deformation of spiral waves in an excitable medium[J]. Phys Rev Lett, 1992, 68(2): 248-251.

Aranson I S, Kramer L. The world of the complex Ginzburg-Landau equation[J]. Rev Mod Phys, 2002, 74(1): 99-143.

Hagan P S. Spiral waves in reaction-diffusion systems[J]. SIAM J Appl Math, 1982, 42(4): 762-786.

Gabbay M, Ott E, Guzdar P N. Motion of scroll wave filaments in the complex Ginzburg-Landau equation[J]. Phys Rev Lett, 1997, 78(10): 2012-2015.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Bi-Level Multi-Obj ective Optimization of a Wind-Solar Coupled Hydrogen Production System Based on the Synergy of Hybrid Electrolyzer Arrays

A Fast Calculation Method for Thermal Flow Fields in Transformer Windings Based on PI-DeepONet

Knowledge Graph Representation Learning Driven by Semantic Discrimination and Subgraph Integration

I/O Performance Modeling and Prediction Method for Large-Scale Parallel Applications Using Machine Learning

Sensitivity Analysis of Foil Geometrical Parameters for the Third-Generation CO2 Gas Foil Bearings Based on Design of Experiments Method

Related Author

No data

Related Institution

No data

⁰