论文标题
I型激发媒体中旅行脉冲的分叉结构
Bifurcation structure of traveling pulses in Type-I excitable media
论文作者
论文摘要
我们已经研究了一般I型兴奋的一维培养基中的旅行脉冲的存在。我们已经获得了稳定区域，并表征了脉冲破坏或稳定性丧失背后的不同分叉。特别是，一些分叉划分了稳定区域的分叉，使用奇异限制连接了介导I型局部兴奋性的两种不同情况，即不变的圆圈上的同骨（鞍形环）和鞍节。在稳定区域之外，旅行脉冲的存在与局部稳定结构的漂移干草叉不稳定性联系在一起。
We have studied the existence of traveling pulses in a general Type-I excitable 1-dimensional medium. We have obtained the stability region and characterized the different bifurcations behind either the destruction or loss of stability of the pulses. In particular, some of the bifurcations delimiting the stability region have been connected, using singular limits, with the two different scenarios that mediated the Type-I local excitability, i.e. homoclinic (saddle-loop) and Saddle-Node on the Invariant Circle bifurcations. The existence of the traveling pulses has been linked, outside the stability region, to a drift pitchfork instability of localized steady structures.
