3 papers
math.DS2022
Computer assisted proof of homoclinic chaos in the spatial equilateral restricted four body problem
J. D. Mireles James, Maxime Murray
We develop computer assisted arguments for proving the existence of transverse homoclinic connecting orbits, and apply these arguments for a number of non-perturbative parameter an…
math.DS2020
Homoclinic dynamics in a spatial restricted four body problem blue skies into Smale horseshoes for vertical Lyapunov families
Maxime Murray, Jason Mireles-James
The set of transverse homoclinic intersections for a saddle-focus equilibrium in the planar equilateral restricted four-body problem admit certain simple homoclinic orbits which fo…
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 for all parameter values . For each , a p…