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Elimination of Anti-spiral Waves by Local Inhomogeneity in Oscillatory Systems
Fu-cheng Liu*,Xiao-fei Wang
Author NameAffiliationE-mail
Fu-cheng Liu* College of Physics Science & Technology, Hebei University, Baoding 071002, China hdlfc@mail.hbu.edu.cn 
Xiao-fei Wang College of Physics Science & Technology, Hebei University, Baoding 071002, China  
Abstract:
Anti-spiral waves are controlled in an oscillatory system by using a local inhomogeneity. The inhomogeneity acts as a wave source, and gives rise to the propagating plane waves. It is found that there is a critical pacemaking domain size below which no wave will be created at all. Two types of ordered waves (target waves and traveling waves) are created depending on the geometry of the local inhomogeneity. The competition between the anti-spiral waves and the ordered waves is discussed. Two different competition mechanisms were observed, which are related to the ordered waves obtained from different local inhomogeneities. It is found that traveling waves with either lower frequency or higher frequency can both eliminate the anti-spiral waves, while only the target waves with lower absolute value of frequency can eliminate the anti-spiral waves.This method also applies to outwardly rotating spiral waves. The control mechanism is intuitively explained and the control method is easily operative.
Key words:  Anti-spiral wave, Traveling wave, Inhomogeneity, Oscillatory system
FundProject:
Elimination of Anti-spiral Waves by Local Inhomogeneity in Oscillatory Systems
刘富成*,王晓菲
摘要:
采用系统中的局部不均匀性消除振荡系统中的反螺旋波. 该不均匀性在系统中成为一个波源,不断产生稳定的相波. 研究结果发现,不均匀性的尺寸大小存在一个临界值,如果低于此临界值,则系统将无法激发任何相波. 根据不均匀性形状的不同,系统分别产生靶波和行波. 此外,实验还发现靶波与反螺旋波之间以及行波与反螺旋波之间存在着不同的动态竞争. 数值计算表明,对于行波,无论是低频行波还是高频行波,都可以成功地消除系统中的反螺旋波;而对于靶波,只有低频靶波才可以消除反螺旋波. 此控制方法简单易行,且同样适用于消除向外传播的螺旋波
关键词:  反螺旋波,行波,不均匀性,振荡系统
DOI:10.1088/1674-0068/21/06/575-580
分类号: