82 citations · 267 across the 21 of their papers we have counts for
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chao-dyn1999
Direct measurement of intersection angle of invariant manifolds for area preserving mappings
Tetsuro Konishi
Intersection angles of stable and unstable manifolds for area preserving mappings are numerically calculated by extremely accurate computation. With the use of multiprecision libra…
chao-dyn1999★ 5 cited
The Intersection Angles between N-Dimensional Stable and Unstable Manifolds in 2N-Dimensional Symplectic Mappings
Yoshihiro Hirata, Kazuhiro Nozaki, Tetsuro Konishi
We asymptotically compute the intersection angles between N-dimensional stable and unstable manifolds in 2N-dimensional symplectic mappings. There exist particular 1-dimensional st…
chao-dyn1999★ 1 cited
Exponentially small oscillation of 2-dimensional stable and unstable manifolds in 4-dimensional symplectic mappings
Yoshihiro Hirata, Kazuhiro Nozaki, Tetsuro Konishi
Homoclinic bifurcation of 4-dimensional symplectic mappings is asymptotically studied. We construct the 2-dimensional stable and unstable manifolds near the sub-manifolds which exp…