Asymptotic Expansions of Unstable and Stable Manifolds in Time-Discrete Systems.

• Goto Shin-itiro

  Department of Physics, Nagoya University, Nagoya 464-8602, Japan

• Nozaki Kazuhiro

  Department of Physics, Nagoya University, Nagoya 464-8602, Japan

抄録

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 map, both of which exhibit strong homoclinic chaos. In terms of the asymptotic expansion, a simple formulation is presented to give the first homoclinic point in the double-well map. Even a truncated expansion of the unstable manifold is shown to reproduce the well-known many-leaved (fractal) structure of the strange attractor in the Hénon map.

収録刊行物

• Ｐｒｏｇｒｅｓｓ　ｏｆ　Ｔｈｅｏｒｅｔｉｃａｌ　Ｐｈｙｓｉｃｓ

  Ｐｒｏｇｒｅｓｓ　ｏｆ　Ｔｈｅｏｒｅｔｉｃａｌ　Ｐｈｙｓｉｃｓ 105 (1), 99-107, 2001

  一般社団法人 日本物理学会

キーワード

• Physics and Astronomy (miscellaneous)

詳細情報

• CRID: 1390001204159941888
• NII論文ID: 110001196946
• NII論文ID: 130004540043
• NII論文ID: 210000110727
• NII書誌ID: AA00791455
• DOI: 10.1143/ptp.105.99
• BIBCODE: 2001PThPh.105...99G
• ISSN: 13474081
• ISSN: 0033068X
• MRID: 1820270
• NDL書誌ID: 5654596
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5654596
• Web Site: http://academic.oup.com/ptp/article-pdf/105/1/99/5166542/105-1-99.pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可