Sandstede B, Scheel A
Department of Mathematics, Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210, USA.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Dec;62(6 Pt A):7708-14. doi: 10.1103/physreve.62.7708.
Absolute and convective instabilities of spirals are investigated using the continuous and the so-called absolute spectrum. It is shown that the nature of transport, induced by an absolute instability, is determined by spectral data of the asymptotic wave trains. The results are applied to core and far-field breakup of spiral waves in excitable and oscillatory media.
利用连续谱和所谓的绝对谱研究了螺旋波的绝对不稳定性和对流不稳定性。结果表明,由绝对不稳定性引起的输运性质由渐近波列的谱数据决定。这些结果应用于可激发介质和振荡介质中螺旋波的核心和远场破裂。