论文标题

初始形式和热带微分方程的基础概念

Initial forms and a notion of basis for tropical differential equations

论文作者

Fink, Alex, Toghani, Zeinab

论文摘要

我们表明,热带微分方程系统的解决方案集可以根据初始理想的单一柔性来表征。我们讨论了热带差异基础的候选定义,并在一个示例中给出了此类基础的不存在结果。

We show that solution sets of systems of tropical differential equations can be characterised in terms of monomial-freeness of an initial ideal. We discuss a candidate definition of tropical differential basis and give a nonexistence result for such bases in an example.

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