Lie equations for asymptotic solutions of perturbation problems of ordinary differential equations

Hayato Chiba, Masatomo Iwasa

研究成果: ジャーナルへの寄稿学術誌査読

3 被引用数 (Scopus)

抄録

Lie theory is applied to perturbation problems of ordinary differential equations to construct approximate solutions and invariant manifolds according to the renormalization group approach of Iwasa and Nozaki ["A method to construct asymptotic solutions invariant under the renormalization group," Prog. Theor. Phys. 116, 605 (2006)]. It is proved that asymptotic behavior of solutions is obtained from the Lie equations even if original equations have no symmetries. Normal forms of the Lie equations are introduced to investigate the existence of invariant manifolds.

本文言語英語
論文番号042703
ジャーナルJournal of Mathematical Physics
50
4
DOI
出版ステータス出版済み - 2009

!!!All Science Journal Classification (ASJC) codes

  • 統計物理学および非線形物理学
  • 数理物理学

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