42 citations · 113 across the 6 of their papers we have counts for
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patt-sol1997★ 10 cited
Derivation of Amplitude Equations by Renormalization Group Method
Ken-ichi Matsuba, Kazuhiro Nozaki
A proper formulation in the perturbative renormalization group method is presented to deduce amplitude equations. The formulation makes it possible not only avoiding a serious diff…
patt-sol1997
Renormalization Group Method and Reductive Perturbation Method
Ken-ichi Matsuba, Kazuhiro Nozaki
It is shown that the renormalization group method does not necessarily eliminate all secular terms in perturbation series to partial differential equations and a functional subspac…
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…