9 citations · 39 across the 26 of their papers we have counts for
32 papers
Determination of stable branches of relative equilibria of the -vortex problem on the sphere
Kevin Constantineau, Carlos García-Azpeitia, Luis C García-Naranjo +1
We consider the -vortex problem on the sphere assuming that all vorticities have equal strength. We investigate relative equilibria (RE) consisting of latitudinal rings whic…
Worrisome Properties of Neural Network Controllers and Their Symbolic Representations
Jacek Cyranka, Kevin E M Church, Jean-Philippe Lessard
We raise concerns about controllers' robustness in simple reinforcement learning benchmark problems. We focus on neural network controllers and their low neuron and symbolic abstra…
Numerical computation of transverse homoclinic orbits for periodic solutions of delay differential equations
Olivier Hénot, Jean-Philippe Lessard, Jason D. Mireles James
We present a computational method for studying transverse homoclinic orbits for periodic solutions of delay differential equations, a phenomenon that we refer to as the \emph{Poinc…
Rigorous computation of solutions of semi-linear PDEs on unbounded domains via spectral methods
Matthieu Cadiot, Jean-Philippe Lessard, Jean-Christophe Nave
In this article we present a general method to rigorously prove existence of strong solutions to a large class of autonomous semi-linear PDEs in a Hilbert space $H^{l}\subset H^{s}…
Constructive proofs for localized radial solutions of semilinear elliptic systems on
Jan Bouwe van den Berg, Olivier Hénot, Jean-Philippe Lessard
Ground state solutions of elliptic problems have been analyzed extensively in the theory of partial differential equations, as they represent fundamental spatial patterns in many m…
Towards computational Morse-Floer homology: forcing results for connecting orbits by computing relative indices of critical points
Jan Bouwe van den Berg, Marcio Gameiro, Jean-Philippe Lessard +1
To make progress towards better computability of Morse-Floer homology, and thus enhance the applicability of Floer theory, it is essential to have tools to determine the relative i…