4 papers
Long-time behavior and relaxation of power-law correlation in one-dimensional self-gravitating system
Hiroko Koyama, Tetsuro Konishi
Long-time behavior of spatial power-law correlation in one-dimensional self-gravitating system is numerically investigated. It is found that the power-law structure persists even a…
Hierarchical clustering and formation of power-law correlation in 1-dimensional self-gravitating system
Hiroko Koyama, Tetsuro Konishi
The process of formation of fractal structure in one-dimensional self-gravitating system is examined numerically. It is clarified that structures created in small spatial scale gro…
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…
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…