33 citations · 199 across the 35 of their papers we have counts for
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chao-dyn1999
Asymptotic expansions of unstable (stable) manifolds in time-discrete systems
Shin-itiro Goto, Kazuhiro Nozaki
By means of an updated renormalization method, we construct asymptotic expansions for unstable manifolds of hyperbolic fixed points in the double-well map and the dissipative Hénon…
chao-dyn1999★ 3 cited
Dynamics near Resonance Junctions in Hamiltonian Systems
Shin-itiro Goto, Kazuhiro Nozaki
An approximate Poincare map near equally strong multiple resonances is reduced by means the method of averaging. Near the resonance junction of three degrees of freedom, we find th…
patt-sol1999★ 30 cited
Lie-Group Approach to Perturbative Renormalization-Group Method
Shin-itiro Goto, Yuji Masutomi, Kazuhiro Nozaki
The Lie-group approach to the perturbative renormalization group (RG) method is developed to obtain an asymptotic solutions of both autonomous and non-autonomous ordinary different…