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Groups definable in partial differential fields with an automorphism
(2021-09-28)
In this paper we study groups definable in existentially closed partial differential fields
of characteristic 0 with an automorphism which commutes with the derivations. In particular, we study Zariski dense definable ...
Definable Additive Subgroups of Partial Differential Fields of Characteristic Zero with an Automorphism
(2020-10-19)
Abstract.The theory of partial differential fields of characteristic zero withan automorphism has a model companion denoted DCFmA. This theory isnot complete, but its completions are easily discribed. They are supersimpleand ...
On pairs of polynomial planar foliations
(Juliusz Schauder Ctr Nonlinear StudiesTorunPolónia, 2007)
Effective differential Nullstellensatz for ordinary DAE systems with constant coefficients
(Academic Press Inc Elsevier Science, 2014-10)
We give upper bounds for the differential Nullstellensatz in the case of ordinary systems of differential algebraic equations over any field of constants K of characteristic 0. Let x be a set of n differential variables, ...
Differentially closed fields of characteristic zero with a generic automorphismDifferentially closed fields of characteristic zero with a generic automorphism
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2007)
The behavior of quadratic and differential forms under function field extensions in characteristic two
(Elsevier Science (USA), 2007)
Dirac constraints in field theory and exterior differential systems
(American Institute of Mathematical Sciences, 2010-03)
The usual treatment of a (first order) classical field theory such as electromagnetism has a little drawback: It has a primary constraint submanifold that arise from the fact that the dynamics is governed by the ...
DiffAlg: a Differential Algebra Package
(Mathematical Science Publ, 2019-03-04)
In this article we present DiffAlg.m2, a differential algebra package for Macaulay2. It can perform the following operations: wedge products and exterior differentials of differential forms, contraction and Lie derivatives ...
Slope fields
(Wolfram Demonstration Project, 2011)
Slope fields
(Wolfram Demonstration Project, 2016)