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The Renormalized Two‐Scale Method
Author(s) -
Cheng Hung
Publication year - 2004
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.0022-2526.2004.01538.x
Subject(s) - scale (ratio) , nonlinear system , perturbation (astronomy) , mathematics , perturbation theory (quantum mechanics) , renormalization , statistical physics , physics , mathematical analysis , mathematical physics , classical mechanics , quantum mechanics
We show that, by uniting the two‐scale method with the counterterm method of renormalized perturbation, one obtains approximate solutions of nonlinear motions which hold for all times.