Distribution Phenomena in Continued Fractions and Logistic Map

Autor:	Shuji Obata, Shigeru Ohkuro
Rok vydání:	1999
Předmět:	Physics Physics and Astronomy (miscellaneous) State density Mathematical analysis Chaotic Tangent Cauchy distribution Logistic map Complex number Distribution (differential geometry)
Zdroj:	Progress of Theoretical Physics. 101:831-846
ISSN:	1347-4081 0033-068X
DOI:	10.1143/ptp.101.831
Popis:	We have been studying chaotic behavior and chaos-like behavior in continued fractions. In this paper, such chaos-like behavior is investigated in detail. This behavior originates in the complex numbers that determine the Cauchy distributions, where cyclic terms discretely appear at isolated parameter values. The distributions are formed along with alternate tangent functions that are dominated by the cyclic terms characterized by double-Markov processes. Finally, the probability densities of the logistic map are analyzed based on the Cauchy distributions, like state density calculations in solids.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f22f9e8eae012e9681c34d4dbf417128 https://doi.org/10.1143/ptp.101.831 Zobrazit plný text záznamu