419 citations · 448 across the 27 of their papers we have counts for
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math.DS2016★ 1 cited
Rigorous numerics of tubular, conic, star-shaped neighborhoods of slow manifolds for fast-slow systems
Kaname Matsue
We provide a rigorous numerical computation method to validate tubular neighborhoods of normally hyperbolic slow manifolds with the explicit radii for the fast-slow system \begin{e…
math.DS2016★ 3 cited
On blow-up solutions of differential equations with Poincaré-type compactifications
Kaname Matsue
We provide explicit criteria for blow-up solutions of autonomous ordinary differential equations. Ideas are based on the quasi-homogeneous desingularization (blowing-up) of singula…