Papers

Coupled systems morphogenesis and self-organization in biological systems.

Essential parts of the thesis, translated into English by ChatGPT.

(2025) Exponential stable manifold for the synchronized state of the abstract mean field system. Journal of Applied Nonlinear Dynamics, Vol. 14, No. 1, 2025.
(2023) Ordinary differential equations defined by a trigonometric polynomial field: Behaviour of the solutions. Dynamical Systems Journal.
(2018) With Ph. Thieullen and A. Kessi. Invariant cone and synchronization state stability of the mean field models. Dynamical Systems Journal.
(2017) With A. Kessi and Ph. Thieullen. Synchronization hypothesis in the Winfree model. Dynamical Systems Journal.

arXiv

HAL

Open Engage

(2026) Mellin transform through Euler differential equation and Volterra integral equation.

(2026) When Periodicity Fails to Guarantee the Existence of Rotation: A Counterexample on the 3-Torus with a Nilpotent Linearization.

(2026) A technical note on the arithmetic cone of smooth periodic vector fields

(2025) Bounded solutions of a complex differential equation arising from the Riemann zeta function.

(2026) Rigidity and Structural Asymmetry of Bounded Solutions.

(2026) Synchronization in abstract mean field models