Dissonant structures of multiple devil's staircases in one-dimensional discontinuous maps

Autor:	Xu-Ming Wang, Shi-Xian Qu, Zheng-Xin Zhou, Jian-Shan Mao, Da-Ren He
Rok vydání:	2002
Předmět:	Consonant Physics General Physics and Astronomy Geometry Consonance and dissonance Function (mathematics) Parameter space Tower
Zdroj:	Physics Letters A. 293:151-155
ISSN:	0375-9601
DOI:	10.1016/s0375-9601(01)00852-0
Popis:	The multiple devil's staircase, that was observed in 1997 in a one-dimensional map with two discontinuous regions, showed a kind of consonant tower-like structures. All the branches that connected top and bottom phase-locked steps of the towers could be divided into two kinds. Our recent study found that actually 16 different kinds of tower branches existed in most parts of parameter space. 14 of them belong to the so-called dissonant structures. The number of types of corresponding dissonant branches is employed to describe the dissonance of the staircase. When the number of discontinuous regions, n, in the system function develops, the dissonance of the staircase increases with 2n3−n rule.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9fdb33e961ca5a5b3b64020db5188a6a https://doi.org/10.1016/s0375-9601(01)00852-0 Zobrazit plný text záznamu Full Text from ScienceDirect