Some remarks on integrability and normal forms for vector fields (Several aspects of microlocal analysis)

• イトウ, ヒデカズ

  Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University

抄録

We consider normalization of a holomorphic vector field and discuss relationship between existence of a convergent normalization and Liouville integrabilty of the given vector field. In particular, an alternative proof is given for the results by Zung and Stolovitch in the framework of vector fields near a center-type equilibrium point.

"Several aspects of microlocal analysis". October 20～24, 2014. edited by Naofumi Honda, Yasunori Okada and Susumu Yamazaki. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

収録刊行物

• 数理解析研究所講究録別冊

  数理解析研究所講究録別冊 B57 249-264, 2016-05

  Research Institute for Mathematical Sciences, Kyoto University

キーワード

• 37G05
• 37J35
• 37J40
• Poincaré-Dulac normal form
• integrability
• resonance

詳細情報

• CRID: 1050564288205518080
• NII論文ID: 110010059449
• NII書誌ID: AA12196120
• ISSN: 18816193
• HANDLE: 2433/241344
• 本文言語コード: en
• 資料種別: departmental bulletin paper
• データソース種別:
  • IRDB
  • CiNii Articles