Scaling Properties of the Period-Adding Sequences in a Multiple Devil’s Staircase
WU Cai-yun1, QU Shi-xian2, WU Shun-guang3, HE Da-ren1,3,4
1Department of Physics, Teachers College, Yangzhou University, Yangzhou 225002
2Department of Basic Courses, Xi ‘an Petroleum Institute, Xi’ an 710065
3Department of Physics, Northwestern University, Xi ’an 710069
41nstitute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
Scaling Properties of the Period-Adding Sequences in a Multiple Devil’s Staircase
1Department of Physics, Teachers College, Yangzhou University, Yangzhou 225002
2Department of Basic Courses, Xi ‘an Petroleum Institute, Xi’ an 710065
3Department of Physics, Northwestern University, Xi ’an 710069
41nstitute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
Abstract： In this letter the scaling properties of the period-adding sequences in a so-called “multiple Devil’s staircase” are reported. It is certified both analytically and numerically that the width of the i-th phase-locked plateau in a sequence scales as In |Δe(i)| ∝ i, and the position of the plateau scales as In |e∞ -ei| ∝ i. These properties are qualitatively different from those of the period-adding sequences in conventional Devil’s staircases.
WU Cai-yun;QU Shi-xian;WU Shun-guang;HE Da-ren;. Scaling Properties of the Period-Adding Sequences in a Multiple Devil’s Staircase[J]. 中国物理快报, 1998, 15(4): 246-248.
WU Cai-yun, QU Shi-xian, WU Shun-guang, HE Da-ren,. Scaling Properties of the Period-Adding Sequences in a Multiple Devil’s Staircase. Chin. Phys. Lett., 1998, 15(4): 246-248.
1998, Vol. 15 
