Desynchronization in a Self-Oscillating Medium
Desynchronization in a Self-Oscillating Medium
复制标题
自振荡介质中的去同步
DOI：
10.1143/ptp.80.743
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发表时间：
1988
影响因子：
--
通讯作者：
H. Sakaguchi
中科院分区：
文献类型：
--
作者：
H. Sakaguchi
相互夹带和去同步化是极限环振子群体中的一种特殊现象。为了研究这类系统，几位作者使用了相模型，r)-5)因为极限环振荡的相描述是基本的和足够简单的，足以理解许多离散振子中的相互缠绕和去同步。但在连续介质如反应扩散系统中描述去同步是不令人满意的，因为对相模型的简单连续近似给出了扩散方程或Burgerstype方程，并且在这样的系统中不可能发生去同步。我们研究了一个次简单的模型方程，它同时描述了相位运动和振幅运动。它由一维空间中的复变量W=X+iy的方程给出：
Mutual entrainment and desynchronization are peculiar phenomena in a population of limit cycle oscillators. For studying such systems phase models were used by several authors, r)-5) since the phase description of limit cycle oscillation is essential and simple enough to understand the mutual entrainment anddesynchronization in a number of discrete oscillators. But it is unsatisfactory to describe desynchronization in a continuum medium such as a reaction-diffusion system, because a simple continuum approximation of the phase model gives a diffusion equation or a Burgerstype equation and desynchronization cannot occur in such systems. We study a next-simplest model equation which describes both phase and amplitude motion. It is given by an equation of a complex variable W = X + iY in the one-dimensional space: