18 citations · 34 across the 10 of their papers we have counts for
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math.DS2020
Validated Numerical Approximation of Stable Manifolds for Parabolic Partial Differential Equations
Jan Bouwe van den Berg, Jonathan Jaquette, J. D. Mireles James
This paper develops validated computational methods for studying infinite dimensional stable manifolds at equilibrium solutions of parabolic PDEs, synthesizing disparate errors res…
math.DS2020★ 1 cited
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…