论文标题

扰动复杂平衡系统的全球稳定性

Global stability of perturbed complex-balanced systems

论文作者

Yu, Polly Y.

论文摘要

一类称为复杂平衡的多项式动态系统在局部稳定,并猜想为全球稳定。通常,复杂平衡不是一个稳健的属性,即参数值的小变化可能导致复杂平衡属性的丢失。我们表明,即使速率常数受到干扰,稳健的永久复杂平衡系统也是全球稳定的。

A class of polynomial dynamical systems called complex-balanced are locally stable and conjectured to be globally stable. In general, complex-balancing is not a robust property, i.e., small changes in parameter values may result in the loss of the complex-balanced property. We show that robustly permanent complex-balanced systems are globally stable even after the rate constants have been perturbed.

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