Renormalization Analysis of Resonance Structure in a 2-D Symplectic Map

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Abstract

A symplecticity-preserving RG analysis is carried out to study the resonance structure near an elliptic fixed point of a prototype symplectic map in two dimensions. Through analysis of fixed points of a reduced RG map, the topology of the resonance structure, such as a chain of resonant islands, can be determined analytically. The application of this analysis to the Henon map is also presented.

Journal

  • Progress of Theoretical Physics

    Progress of Theoretical Physics 111(4), 463-474, 2004-04-25

    Published for the Yukawa Institute for Theoretical Physics and the Physical Society of Japan

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  • Lie-Group Approach to Perturbative Renormalization group Method

    GOTO Shin-itiro , MASUTOMI Yuji , NOZAKI Kazuhiro , Department of Physics Nagoya University , Department of Physics Nagoya University , Department of Physics Nagoya University

    Progress of Theoretical Physics 102(3), 471-497, 1999-09-25

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Codes

  • NII Article ID (NAID)
    110001196158
  • NII NACSIS-CAT ID (NCID)
    AA00791455
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    0033068X
  • NDL Article ID
    6929452
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A468
  • Data Source
    CJP  NDL  NII-ELS 
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