SCALING PROPERTIES OF THE PERIOD-ADDING SEQUENCES IN A MULTIPLE DEVILS STAIRCASE

Authors
WU CY QU SX WU SG HE DR
Citation
Cy. Wu et al., SCALING PROPERTIES OF THE PERIOD-ADDING SEQUENCES IN A MULTIPLE DEVILS STAIRCASE, Chinese Physics Letters, 15(4), 1998, pp. 246-248
Citations number
7
Categorie Soggetti
Physics
Journal title
Chinese Physics Letters → ACNP
ISSN journal
0256307X
Volume
15
Issue
4
Year of publication
1998
Pages
246 - 248
Database
ISI
SICI code
0256-307X(1998)15:4<246:SPOTPS>2.0.ZU;2-1
Abstract
In this letter the scaling properties of the period-adding sequences i n a so-called ''multiple Devil's staircase'' are reported. It is certi fied both analytically and numerically that the width of the i-th phas e-locked plateau in a sequence scales as In \Delta e(i)\ proportional to i, and the position of the plateau scales as In \e(infinity) - e(i) proportional to i. These properties are qualitatively different fi om those of the period-adding sequences in conventional Devil's staircas es.