J. Lessard

activity

20092021

most citedRigorous numerics for nonlinear heat equations in the complex plane of time

2 citations · 2 across the 8 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.DS2017

Stability and Uniqueness of Slowly Oscillating Periodic Solutions to Wright's Equation

Jonathan Jaquette, Jean-Philippe Lessard, Konstantin Mischaikow

In this paper, we prove that Wright's equation $y^{'} (t) = - α y (t - 1) {1 + y (t)}$ has a unique slowly oscillating periodic solution (SOPS) for all parameter values $α \in [1.9, 6.0]$ ,…

math.DS2017

Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof

Jan Bouwe van den Berg, Maxime Breden, Jean-Philippe Lessard +1

In this paper, we prove existence of symmetric homoclinic orbits for the suspension bridge equation $u "" + β u " + e^{u} - 1 = 0$ for all parameter values $β \in [0.5, 1.9]$ . For each $β$ , a p…