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FitzHugh-Nagumo系统中螺旋波的控制

高加振 谢玲玲 谢伟苗 高继华

物理学报2011,Vol.60Issue(8):59-67,9.
物理学报2011,Vol.60Issue(8):59-67,9.

FitzHugh-Nagumo系统中螺旋波的控制

Control of spiral waves in FitzHugh-Nagumo systems

高加振 1谢玲玲 1谢伟苗 1高继华1

作者信息

  • 1. 深圳大学材料学院,深圳市特种功能材料重点实验室,深圳518060
  • 折叠

摘要

Abstract

Control of spiral wave in two-dimensional FitzHugh-Nagumo equation is studied.The phase space compression approach is used to confine the system trajectory into a finite area and to annihilate spiral wave in the numerical simulation.Three stages are found in the control process.The spiral is driven to a homogenous stationary state when the compress limit is small;the spiral is stable with a fixed frequency when the compression limit is large;in the intermediate controlling parameter regime,the spatiotemporal turbulent state is observed.The controlling process is investigated by considering system pattern,variable evolution,phase space trajectory,etc,and the characteristics of amplitude function and oscillatory frequency are summarized as well.

关键词

螺旋波/相空间压缩/FitzHugh-Nagumo方程

Key words

spiral wave/phase space compression/FitzHugh-Nagumo equation

分类

数理科学

引用本文复制引用

高加振,谢玲玲,谢伟苗,高继华..FitzHugh-Nagumo系统中螺旋波的控制[J].物理学报,2011,60(8):59-67,9.

物理学报

OA北大核心CSCDCSTPCD

1000-3290

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