论文标题
限制质量缺陷的质量表演系统中的周期
Limit cycles in mass-conserving deficiency-one mass-action systems
论文作者
论文摘要
我们提出了一些简单的质量表演系统，其极限周期属于缺陷 - 一个定理的范围。所有构建的示例都是质量的，它们的化学计量分数是二维的。使用Continuation Software Matcont，我们一次描绘了所有化学计量类别中的极限周期。网络是三分子和四分子的，有些是两个甚至三个极限周期。最后，我们表明，具有二维化学计量图子空间的双分子反应网络的相关质量成分系统不接受极限周期。
We present some simple mass-action systems with limit cycles that fall under the scope of the Deficiency-One Theorem. All the constructed examples are mass-conserving and their stoichiometric subspace is two-dimensional. Using the continuation software MATCONT, we depict the limit cycles in all stoichiometric classes at once. The networks are trimolecular and tetramolecular, and some exhibit two or even three limit cycles. Finally, we show that the associated mass-action system of a bimolecular reaction network with two-dimensional stoichiometric subspace does not admit a limit cycle.
