11 citations · 27 across the 5 of their papers we have counts for
5 papers
New Integrable Family in the n-Dimensional Homogeneous Lotka-Volterra Systems with Abelian Lie Algebra
Kenji Imai, Yoshihiro Hirata
We present an n-dimensional integrable homogeneous Lotka--Volterra system, which has -dimensional Lie symmetry algebra. Moreover a wider integrable family is derived from…
A Necessary Condition for existence of Lie Symmetries in Quasihomogeneous Systems of Ordinary Differential Equations
Y. Hirata, K. Imai
Lie symmetries for ordinary differential equations are studied. In systems of ordinary differential equations, there do not always exist non-trivial Lie symmetries around equilibri…
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…