Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China.
Chaos. 2013 Sep;23(3):033130. doi: 10.1063/1.4819900.
Spatial heterogeneities are commonly found in realistic systems and play significant roles in dynamics of spiral waves. We here demonstrate a novel phenomenon that a localized inhomogeneity put around the spiral core could lead to the reversal of spiral waves in an oscillatory system, e.g., the complex Ginzburg-Landau equation. With the amplitude-phase representation, we analyze underling mechanism and conditions of the wave reversal in detail, which is found to agree with the numerical evidence.
空间非均匀性在实际系统中普遍存在,并且在螺旋波的动力学中起着重要作用。我们在这里展示了一个新的现象,即在螺旋波的核心周围放置一个局域的非均匀性,可以导致在一个振荡系统中螺旋波的反转,例如,复杂的 Ginzburg-Landau 方程。通过幅度-相位表示,我们详细分析了反转的机制和条件,这与数值证据相符。