32 citations · 65 across the 17 of their papers we have counts for
20 papers
Generic balanced synchrony patterns in network dynamics
Romain Joly, Maxime Percie du Sert
A coupled cell network is a type of ordinary differential equation , with structural constraints on the vector field , encoded in a directed graph, whose cell…
The Graph Geometric Control Condition
Kaïs Ammari, Alessandro Duca, Romain Joly +1
In this paper, we introduce a novel concept called the Graph Geometric Control Condition (GGCC). It turns out to be a simple, geometric rewriting of many of the frameworks in which…
Generic transversality of travelling fronts, standing fronts, and standing pulses for parabolic gradient systems
Romain Joly, Emmanuel Risler
For nonlinear parabolic systems of the form \[ \partial_t w(x,t) = \partial_{x}^2 w(x,t) - \nabla V\bigl(w(x,t)\bigr) \,, \] the following conclusions are proved to hold genericall…
Control of the Schrödinger equation by slow deformations of the domain
Alessandro Duca, Romain Joly, Dmitry Turaev
The aim of this work is to study the controllability of the Schrödinger equation \begin{equation}\label{eq_abstract} i\partial_t u(t)=-Δu(t)~~~~~\text{ on }Ω(t) \tag{} \end{e…
Schrödinger equation in moving domains
Alessandro Duca, Romain Joly
We consider the Schr\''odinger equation \begin{equation}\label{eq_abstract} i\partial_t u(t)=-Δu(t)~~~~~\text{ on }Ω(t) \tag{} \end{equation}where is…
Asymptotic self-similarity in diffusion equations with nonconstant radial limits at infinity
Thierry Gallay, Romain Joly, Geneviève Raugel
We study the long-time behavior of localized solutions to linear or semilinear parabolic equations in the whole space , where , assuming that the diffusion m…