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题名: Multiple devil
作者: Qu, SX ;  Wu, SG ;  He, DR
刊名: PHYSICAL REVIEW E
出版日期: 1998
卷号: 57, 期号:1, 页码:402-411
关键词: BORDER-COLLISION BIFURCATIONS ;  IMPACT OSCILLATORS ;  ISING-MODEL ;  RELAXATION-OSCILLATOR ;  NON-INVERTIBILITY ;  CIRCLE MAPS ;  BEHAVIOR ;  SYSTEMS ;  DISCONTINUITY ;  SIMILARITY
学科分类: Physics
通讯作者: He, DR , Yangzhou Univ, Coll Teachers, Dept Phys, Yangzhou 225002, Peoples R China.
部门归属: Yangzhou Univ, Coll Teachers, Dept Phys, Yangzhou 225002, Peoples R China; Xian Petr Inst, Dept Basic Courses, Xian 710065, Peoples R China; NW Univ Xian, Dept Phys, Xian 710069, Peoples R China; CCAST, World Lab, Beijing 100080, Peoples R China; Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: We have observed a "multiple devil's staircase" in a one-dimensional (1D) map including two discontinuous regions. Both end points of each phase-locked plateau in the staircase an confined by the conditions of collision between the periodic orbit and one of the discontinuous region edges. There are more modes of the collision than in a 1D map including only one discontinuous region. This complexity makes the whole staircase lose monotonicity, self-similarity, and the "Farey tree rule" for a description of the plateau length distribution. However, the staircase consists of many conventional complete devil's staircases, many of them having their own threshold of transfer to chaos via a type-V intermittency. Therefore the parameter space can be divided into three parts. In the first part only periodic attractors appear. In the second part periodic and chaotic attractors appear alternatively, and the system displays type-V intermittency frequently. In the last part only chaotic attractors exist.
收录类别: SCI
原文出处: 查看原文
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/12390
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Qu, SX,Wu, SG,He, DR. Multiple devil[J]. PHYSICAL REVIEW E,1998,57(1):402-411.
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文件名: Multiple devil’s staircase and type-V intermittency.pdf
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