Daido Hiroaki
Department of Mathematical Sciences, Graduate School of Engineering, Osaka Prefecture University, Sakai, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jul;84(1 Pt 2):016215. doi: 10.1103/PhysRevE.84.016215. Epub 2011 Jul 20.
Coupled oscillators can be heterogeneous in the sense that parameter values of constituent oscillators are not uniform for various reasons. Here it is discussed how such a system behaves in the strong-coupling limit. A theory is developed under certain assumptions and then used to quite generally explain an empirical law about a phase transition boundary in a class of heterogeneous populations of coupled oscillators such that bifurcation parameters are distributed. Results obtained here will be useful as a starting point for studying the behavior of such systems for moderate coupling strengths.
耦合振子在某种意义上可能是异质的，即由于各种原因，组成振子的参数值并不均匀。这里讨论了这样一个系统在强耦合极限下的行为。在某些假设下发展了一种理论，然后用它来相当普遍地解释一类耦合振子异质群体中关于相变边界的一个经验定律，其中分岔参数是分布的。这里得到的结果将作为研究这种系统在中等耦合强度下行为的一个起点。
