Chaotic and Chaos-Like Behavior in Continued Fractions

Autor:	Shigeru Ohkuro, Shuji Obata, Toshiaki Maeda
Rok vydání:	1999
Předmět:	Nonlinear Sciences::Chaotic Dynamics CHAOS (operating system) Physics Fractal Physics and Astronomy (miscellaneous) Mixed states Chaotic Cauchy distribution Statistical physics Logistic map
Zdroj:	Progress of Theoretical Physics. 101:1175-1179
ISSN:	1347-4081 0033-068X
DOI:	10.1143/ptp.101.1175
Popis:	Chaotic and chaos-like behavior in continued fractions is studied with respect to several types of maps, including a logistic map. Various numerical phenomena in the continued fractions are investigated, where the fractions correspond to fractal structures. Cyclic terms in the Cauchy distribution areas are introduced, including the chaos-like behavior. It is indicated that such mixed states of distributions and cycles are common in the chaotic and chaos-like behavior.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6ddece855c258d574c44edec0c7173de https://doi.org/10.1143/ptp.101.1175 Zobrazit plný text záznamu