18 citations · 34 across the 10 of their papers we have counts for
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math.DS2017
Analytic continuation of local (un)stable manifolds with rigorous computer assisted error bounds
William D. Kalies, Shane Kepley, J. D. Mireles James
We develop a validated numerical procedure for continuation of local stable/unstable manifold patches attached to equilibrium solutions of ordinary differential equations. The proc…
math.NA2017★ 18 cited
Chebyshev-Taylor parameterization of stable/unstable manifolds for periodic orbits: implementation and applications
J. D. Mireles James, Maxime Murray
This paper develops a computational method for studying stable/unstable manifolds attached to periodic orbits of differential equations. The method uses high order Chebyshev-Taylor…