论文标题
Fitzhugh-Nagumo模型中的亚临界跳跃分叉
Subcritical Hopf Bifurcations in the FitzHugh-Nagumo Model
论文作者
论文摘要
已经表明，从刚性旋转的螺旋波到蜿蜒的螺旋波的过渡是通过HOPF分叉的。许多研究表明，这些分叉是超临界的，但我们提出了数值研究，表明在菲茨胡格 - 纳古莫（Fitzhugh-Nagumo）内也存在亚临界分叉。此外，我们提供了一个证据，表明这种分叉对初始条件高度敏感，并且可以将磁滞回路中的一种溶液转换为另一个溶液。
It had been shown that the transition from a rigidly rotating spiral wave to a meandering spiral wave is via a Hopf bifurcation. Many studies have shown that these bifurcations are supercritical, but we present numerical studies which show that subcritical bifurcations are also present within FitzHugh-Nagumo. Furthermore, we present a evidence that this bifurcation is highly sensitive to initial conditions, and it is possible to convert one solution in the hysteresis loop to the other.
