11 citations · 27 across the 3 of their papers we have counts for
3 papers
nlin.SI2002★ 10 cited
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…
math.DS2001★ 11 cited
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…
patt-sol1996★ 6 cited
Nonlinear Modulation of Travelling Rolls in Magnetoconvection
Ken-ichi Matsuba, Kenji Imai, Kazuhiro Nozaki
Modulational dynamics of oscillatory travelling rolls in magnetoconvection is studied near the onset of a Hopf bifurcation. Using weakly nonlinear analysis, we derive an envelope e…