论文标题
具有垂直Andronov-Hopf分叉的最小的双分子质量表演系统
The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation
论文作者
论文摘要
我们提出了一个三维微分方程，该方程可鲁棒地显示出无限的codimension的Andronov-hopf分叉，导致中心，即不变的二维表面，该表面充满了围绕平衡的周期性轨道。该系统来自由四个反应组成的三种双分子化学反应网络。实际上，它是唯一通过Andronov-Hopf分叉接收中心的质量攻击系统。
We present a three-dimensional differential equation, which robustly displays a degenerate Andronov-Hopf bifurcation of infinite codimension, leading to a center, i.e., an invariant two-dimensional surface that is filled with periodic orbits surrounding an equilibrium. The system arises from a three-species bimolecular chemical reaction network consisting of four reactions. In fact, it is the only such mass-action system that admits a center via an Andronov-Hopf bifurcation.
