About the Orbit Structure of Sequences of Maps of Integers

Autor:	Viorel Niţică, Jeroz Makhania
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	orbit structure bounded orbit unbounded orbit barh-number bmrh-number bw-arh-number bwmrh-number sdditive multiplier multiplicative multiplier additive extra term multiplicative extra term fixed point sequence of integers sequence of maps of integers Mathematics QA1-939
Zdroj:	Symmetry, Vol 11, Iss 11, p 1374 (2019)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym11111374
Popis:	Motivated by connections to the study of sequences of integers, we study, from a dynamical systems point of view, the orbit structure for certain sequences of maps of integers. We find sequences of maps for which all individual orbits are bounded and periodic and for which the number of periodic orbits of fixed period is finite. This allows the introduction of a formal ζ -function for the maps in these sequences, which are actually polynomials. We also find sequences of maps for which the orbit structure is more complicated, as they have both bounded and unbounded orbits, both individual and global. Most of our results are valid in a general numeration base.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/5142c993f95541ebaf540f928ea932e1 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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