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19982002
most citedA Necessary Condition for existence of Lie Symmetries in Quasihomogeneous Systems of Ordinary Differential Equations

11 citations · 27 across the 5 of their papers we have counts for

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Showing 1999Show all

2 papers · 1 filter

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…