The breakup condition of shearless KAM curves in the quadratic map

Susumu Shinohara, Yoji Aizawa

研究成果: Article

28 引用 (Scopus)

抄録

We determined the exact location of the shearless KAM curve in the quadratic map and numerically investigate the breakup thresholds of those curves in the entire parameter space. The breakup diagram reveals many sharp singularities like fractals on the reconnection thresholds of the twin-chains with rational rotation numbers.

元の言語English
ページ(範囲)379-385
ページ数7
ジャーナルProgress of Theoretical Physics
97
発行部数3
出版物ステータスPublished - 1997 3

Fingerprint

thresholds
curves
fractals
diagrams

ASJC Scopus subject areas

  • Physics and Astronomy(all)

これを引用

The breakup condition of shearless KAM curves in the quadratic map. / Shinohara, Susumu; Aizawa, Yoji.

:: Progress of Theoretical Physics, 巻 97, 番号 3, 03.1997, p. 379-385.

研究成果: Article

Shinohara, S & Aizawa, Y 1997, 'The breakup condition of shearless KAM curves in the quadratic map', Progress of Theoretical Physics, 巻. 97, 番号 3, pp. 379-385.
Shinohara, Susumu ; Aizawa, Yoji. / The breakup condition of shearless KAM curves in the quadratic map. :: Progress of Theoretical Physics. 1997 ; 巻 97, 番号 3. pp. 379-385.
@article{85d0a0c242274226938e20f2196c840c,
title = "The breakup condition of shearless KAM curves in the quadratic map",
abstract = "We determined the exact location of the shearless KAM curve in the quadratic map and numerically investigate the breakup thresholds of those curves in the entire parameter space. The breakup diagram reveals many sharp singularities like fractals on the reconnection thresholds of the twin-chains with rational rotation numbers.",
author = "Susumu Shinohara and Yoji Aizawa",
year = "1997",
month = "3",
language = "English",
volume = "97",
pages = "379--385",
journal = "Progress of Theoretical Physics",
issn = "0033-068X",
publisher = "Yukawa Institute for Theoretical Physics",
number = "3",

}

TY - JOUR

T1 - The breakup condition of shearless KAM curves in the quadratic map

AU - Shinohara, Susumu

AU - Aizawa, Yoji

PY - 1997/3

Y1 - 1997/3

N2 - We determined the exact location of the shearless KAM curve in the quadratic map and numerically investigate the breakup thresholds of those curves in the entire parameter space. The breakup diagram reveals many sharp singularities like fractals on the reconnection thresholds of the twin-chains with rational rotation numbers.

AB - We determined the exact location of the shearless KAM curve in the quadratic map and numerically investigate the breakup thresholds of those curves in the entire parameter space. The breakup diagram reveals many sharp singularities like fractals on the reconnection thresholds of the twin-chains with rational rotation numbers.

UR - http://www.scopus.com/inward/record.url?scp=0031482863&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031482863&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031482863

VL - 97

SP - 379

EP - 385

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 3

ER -