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Initial forms and a
notion of basis for tropical differential equations
Alex Fink and Zeinab Toghani |
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Vol. 318 (2022), No. 2, 453–468
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Abstract |
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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. |
Keywords
differential algebra, tropical geometry, tropical
differential equations, initial form, tropical basis
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Mathematical Subject Classification
Primary: 12H05, 13P15, 14T10, 14T90, 34A99
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Milestones
Received: 12 November 2020
Revised: 12 April 2022
Accepted: 4 June 2022
Published: 20 August 2022
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Authors |
| Alex Fink | |
| School of Mathematical
Sciences Queen Mary University of London London United Kingdom |
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| Zeinab Toghani | |
| Department of Mathematics Universidad de los Andes Bogotá Colombia |
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