Areas of Interest: Differential equations, mean field theory, coupled systems, periodic systems, stability.

 

EMA School    |    Artistic Works 

 

 

Thesis

(2016): Coupled systems morphogenesis and self-organization in biological systems. 

Advisor: Pr. Philippe Thieullen 

 

The main points of the thesis. English version   PDF (05/06/2025). Cambridge Open Engage. doi:10.33774/coe-2025-170lk   

 

Publication

(2024): Exponential stable manifold for the synchronized state of the abstract mean field system. Journal of Applied Nonlinear Dynamics .

(2023): Ordinary differential equations defined by a trigonometric polynomial field. Dynamical Systems Journal.

(2018): [with Pr. Thieullen and A. Kessi] Invariant cone and synchronization state stability of the mean field models. Dynamical Systems Journal.

(2017): [with A. Kessi and Pr. Thieullen] Synchronization hypothesis in the Winfree model. Dynamical Systems Journal.

 

Submitted

 (2025):  When Periodicity Fails to Guarantee the Existence of Rotation: Open question. https://arxiv.org/abs/2504.21006

 

Oral Presentation

SIMBAD: Séminaire Itinérant de Mathématiques, Biologie et Applications. 24 mai 2016, Paris (France).

GDR: Journées du GDR AFHP, Institut de Mathématiques, Université de Bordeaux. October 9-11, 2017 (France).

AquiDOC: Valoriser son doctorat en cotutelle dans sa poursuite de carrière, 19 Octobre 2017, Université de Bordeaux (France).

CMA'2018: Invariant and positive resolvent matrix: Stability and application. Congrès des Mathématiciens Algériens, 12-13 mai 2018, Boumerdès (Algérie).

 

Poster

Poster: PDF - "Periodic locked orbit in Winfree Model with N oscillators" (2015).

 

Course

Course of differentials equations for BSc (License). Ebook