Post Archive with Feature Rows

On the equations of Poizat and Liénard

An electronic circuit described by an equation of Liénard. Abstract: We study the structure of the solution sets in universal differential field...

The degree of nonminimality is at most two

Abstract : It is shown that if $$p$$ is a complete type of Lascar rank at least 2 over $$A$$, in the theory of differentially closed fields of charact...

Abelian reduction in differential-algebraic and bimeromorphic geometry

Abstract : Several results on the birational geometry of algebraic vector fields in characteristic zero are obtained. In particular, (1) it is shown that...

When any three solutions are independent

Abstract: Given an algebraic differential equation of order greater than one, it is shown that if there is any nontrivial algebraic relation amongst any numb...

Generic planar algebraic vector fields are strongly minimal and disintegrated

Representation of a complex hyberbolic singularity. Abstract: In this article, we study model-theoretic properties of algebraic differential equa...

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