Knowledge Management System of Institute of Theoretical Physics, CAS
Qu, SX; Wu, SG; He, DR; He, DR , Yangzhou Univ, Coll Teachers, Dept Phys, Yangzhou 225002, Peoples R China. | |
Multiple devil | |
发表期刊 | PHYSICAL REVIEW E |
关键词 | Border-collision Bifurcations Impact Oscillators Ising-model Relaxation-oscillator Non-invertibility Circle Maps Behavior Systems Discontinuity Similarity |
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. |
1998 | |
ISSN | 1063-651X |
卷号 | 57期号:1页码:402-411 |
学科领域 | Physics |
收录类别 | SCI |
文献类型 | 期刊论文 |
条目标识符 | http://ir.itp.ac.cn/handle/311006/12390 |
专题 | SCI期刊论文 |
通讯作者 | He, DR , Yangzhou Univ, Coll Teachers, Dept Phys, Yangzhou 225002, Peoples R China. |
推荐引用方式 GB/T 7714 | Qu, SX,Wu, SG,He, DR,et al. Multiple devil[J]. PHYSICAL REVIEW E,1998,57(1):402-411. |
APA | Qu, SX,Wu, SG,He, DR,&He, DR , Yangzhou Univ, Coll Teachers, Dept Phys, Yangzhou 225002, Peoples R China..(1998).Multiple devil.PHYSICAL REVIEW E,57(1),402-411. |
MLA | Qu, SX,et al."Multiple devil".PHYSICAL REVIEW E 57.1(1998):402-411. |
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