Daido Hiroaki, Nakanishi Kenji
Department of Mathematical Sciences, Graduate School of Engineering, University of Osaka Prefecture, Sakai 599-8531, Japan.
Phys Rev Lett. 2006 Feb 10;96(5):054101. doi: 10.1103/PhysRevLett.96.054101. Epub 2006 Feb 6.
It is shown that for random initial conditions, a large population of identical and sufficiently nonisochronous Stuart-Landau oscillators coupled globally and diffusively exhibits inhomogeneity in a resonant way as the diffusive coupling is intensified, where the diffusive coupling constant is real. A category of inhomogeneous (nonsynchronized) solutions is analytically shown to exist, which is either periodic or quasiperiodic.
结果表明，对于随机初始条件，当扩散耦合常数为实数时，大量全局且扩散耦合的相同且充分非等时的斯图尔特 - 兰道振荡器随着扩散耦合增强会以共振方式呈现出不均匀性。通过分析证明存在一类不均匀（非同步）解，其要么是周期的，要么是准周期的。
