Coupled Oscillators on a Circle
Coupled Oscillators on a Circle
复制标题
DOI：
--
复制
发表时间：
1994
期刊：
影响因子：
--
通讯作者：
J. Hale
中科院分区：
文献类型：
--
作者：
J. Hale
考虑圆上扩散耦合振子的连续统。当每个振子是Lienard型，很少有人知道相应的双曲POE。当每个振荡器由一个无损传输线表示时，我们得到一个偏中立型延迟微分方程，并给出了动力学定性理论的开端。特别地，我们讨论了解映射的性质，全局吸引子的存在性，平衡点附近的行为，包括Hopf分支，以及周期轨道附近的一些基本性质。
We consider a continuum of diffusively coupled oscillators on a circle. When each oscillator is of Lienard type, very little is known about the corresponding hyperbolic POE. When each oscillator is represented by a lossless transmission line, we obtain a partial neutral delay differential equation and give the beginnings of a qualitative theory for the dynamics. In particular, we discuss the properties of the solution map, the existence of the global attractor, behavior near an equilibrium point including the Hopf bifurcation, and some elementary properties near a periodic orbit.