Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Epifanov A. S. The Automata Interpretation of Integer Sequences. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, vol. 10, iss. 4, pp. 58-64. DOI: 10.18500/1816-9791-2010-10-4-58-64

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
Full text:
(downloads: 129)
519.713, 519.718.7

The Automata Interpretation of Integer Sequences

Epifanov A. S., Saratov State University

Transformation of phase pictures to geometrical images of laws of functioning of state machines, offered and developed by V.A.Tverdokhlebov , has allowed to represent phase pictures by uniform mathematical structures –- broken lines with numerical coordinates of points. V.A.Tverdokhlebov shows, that sequence of elements from the finite set, combined with linear order on set of input words, defines laws of functioning of the discrete determined dynamic system (state machine). It allows carry out the analysis of laws of functioning of state machines on the basis of research of properties of numerical sequences, and also it allows to research properties of numerical sequences by the analysis of properties of state machines.

  1. Твердохлебов, В.А. Геометрические образы законов функционирования автоматов / В.А. Твердохлебов. – Саратов, 2008. – 183 c.
  2. Епифанов, А.С. Анализ фазовых картин дискретных динамических систем / А.С. Епифанов. – Саратов, 2008. – 156 c.
  3. Епифанов, А.С. Анализ геометрических образов законов функционирования автоматов / А.С. Епифанов // Управление большими системами. – 2009. – Вып. 24. – С. 81–98.
  4. Епифанов, А.С. Построение и анализ классов (H,m,d(H))-автоматов / А.С. Епифанов // Управление большими системами: V Всерос. школа-семинар молодых ученых. – Липецк, 2008. – С. 23–30.
  5. The On-Line Encyclopedia of Integer Sequences [Электронный ресурс]. URL: www.research.att.com (дата обращения: 11.09.2010).