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.
| Original language | English |
|---|---|
| Pages (from-to) | 379-385 |
| Number of pages | 7 |
| Journal | Progress of Theoretical Physics |
| Volume | 97 |
| Issue number | 3 |
| Publication status | Published - 1997 Mar |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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The breakup condition of shearless KAM curves in the quadratic map. / Shinohara, Susumu; Aizawa, Yoji.
In: Progress of Theoretical Physics, Vol. 97, No. 3, 03.1997, p. 379-385.Research output: Contribution to journal › Article
}
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
VL - 97
SP - 379
EP - 385
JO - Progress of Theoretical Physics
JF - Progress of Theoretical Physics
SN - 0033-068X
IS - 3
ER -