INITIAL FORMS AND A NOTION OF BASIS FOR TROPICAL DIFFERENTIAL EQUATIONS

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

Initial forms and a notion of basis for tropical differential equations

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.Comment: 16 page