82 citations · 267 across the 21 of their papers we have counts for
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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…
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…
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…
Asymptotic expansion of 1-dimensional sub-manifolds of stable and unstable manifolds in a 4-dimensional symplectic mapping
Yoshihiro Hirata, Tetsuro Konishi
We analytically compute asymptotic expansions of a 1-dimensional sub-manifold of stable and unstable manifolds in a 4-dimensional symplectic mapping by using the method called asym…
A Geometrical Model for Stagnant Motion in Hamiltonian Systems with Many Degrees of Freedom
Yoshiyuki Y. Yamaguchi, Tetsuro Konishi
We introduce a model of Poincaré mappings which represents hierarchical structure of phase spaces for systems with many degrees of freedom. The model yields residence time distribu…
Quasi-equilibria in one-dimensional self-gravitating many body systems
Toshio Tsuchiya, Tetsuro Konishi, Naoteru Gouda
The microscopic dynamics of one-dimensional self-gravitating many-body systems is studied. We examine two courses of the evolution which has the isothermal and stationary water-bag…
Peeling the Onion of Order and Chaos in a High-dimensional Hamiltonian System
Kunihiko KANEKO, Tetsuro KONISHI
Coexistence of various ordered chaotic states in a Hamiltonian system is studied with the use of a symplectic coupled map lattice. Besides the clustered states for the attractive i…