30 citations · 81 across the 17 of their papers we have counts for
17 papers
Renormalization group in difference systems
Masatomo Iwasa, Kazuhiro Nozaki
A new singular perturbation method based on the Lie symmetry group is presented to a system of difference equations. This method yields consistent derivation of a renormalization g…
A Method to Construct Asymptotic Solutions Invariant under the Renormalization Group
Masatomo Iwasa, Kazuhiro Nozaki
A renormalization group method with the Lie symmetry is presented for the singular perturbation problems. Asymptotic solutions are obtained as group-invariant solutions under appro…
New class of symmetries for self-gravitating hydrodynamics equations
Souichi Murata, Kazuhiro Nozaki
A method of calculating a new class of symmetries is presented for partial differential equations. The method give a new dynamical solution for an isothermal and cylindrically symm…
Dynamics of gas sphere under self-gravity
Souichi Murata, Kazuhiro Nozaki
A new dynamical solution for a gas sphere under self-gravity is presented to describe a development of a gas sphere from a motion-less state to a state of expansion with a constant…
Renormalization Analysis of Resonance Structure in 2-D Symplectic Map
Tsuyoshi Maruo, Shin-itiro Goto, Kazuhiro Nozaki
A symplecticity-preserving RG analysis is carried out to study a resonance structure near an elliptic fixed point of a proto-type symplectic map in two dimensions. Through analyzin…
Liouville Operator Approach to Symplecticity-Preserving Renormalization Group Method
Shin-itiro Goto, Kazuhiro Nozaki
We present a method to construct symplecticity-preserving renormalization group maps by using the Liouville operator, and obtain correctly reduced symplectic maps describing their…