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

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...

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

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...

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

Abstract: We first elaborate on the theory of relative internality in stable theories, focusing on the notion of uniform relative internality (called collaps...

An Anosov flow of dimension three. Abstract: In this article, we develop a geometric framework to study the notion of semi-minimality for the gen...

A weakly-mixing discrete dynamical system. Abstract: Orthogonality to the constants is property of an algebraic differential equation that origin...

Abstract: We define the notion of a smooth pseudo-Riemannian algebraic variety \( (X,g) \) over a field \( k \) of characteristic 0, which is an algebraic an...

Abstract: This thesis is dedicated to studying the interactions between two different approaches regarding differential equations: the model-theory of differ...

Title : Disintegrated differential equations and mixing Anosov flows. Vidéo , Slides

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