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Qu, SX; Wu, SG; He, DR; He, DR , Yangzhou Univ, Coll Teachers, Dept Phys, Yangzhou 225002, Peoples R China.
Multiple devil
Source PublicationPHYSICAL REVIEW E
KeywordBorder-collision Bifurcations Impact Oscillators Ising-model Relaxation-oscillator Non-invertibility Circle Maps Behavior Systems Discontinuity Similarity
AbstractWe 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
ISSN1063-651X
Volume57Issue:1Pages:402-411
Subject AreaPhysics
Indexed BySCI
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/12390
Collection理论物理所科研产出_SCI论文
Corresponding AuthorHe, DR , Yangzhou Univ, Coll Teachers, Dept Phys, Yangzhou 225002, Peoples R China.
Recommended Citation
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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