Representation of the natural numbers set as a dynamical discrete time system

G. G. Ryabov

Abstract


The article is continuing the  theme of study of the structure of natural numbers. The article represents the natural numbers set as a dynamical system in discrete time, and presents the construction of the system phase space on the basis of the flat trajectories of the billiard and the billiard of the graph. Chromodynamics is considered natural numbers. The derivation of Diophantine equations of selection natural numbers primes or compound.


Full Text:

PDF (Russian)

References


Bunimovich L.A., Sinaj Ja.G., Chernov N.I. // Statisticheskie svojstva dvumernyh giperbolicheskih billiardov. Uspehi mat. nauk, t. 46, vyp. 4 (280), 1991.

Ryabov G.G, Serov V.A. On natural numbers structure on the basis of six arithmetical progressions. International Journal of Open Information Technologies. 2016. vol.4. no 4. pp.49-53. Available (in Russian). http://injoit.org/index.php/j1/article/view/277.

Ryabov G.G, Serov V.A. Infinite arithmetical progressions and global trees in natural numbers structure. International Journal of Open Information Technologies. 2017. vol. 5. no 6. pp. 1-5. Available (in Russian). http://injoit.org/index.php/j1/article/view/441.

Vejl' G. // Simmetrija. – M.: Nauka, 1968.

Puankare A. // O nauke. Kniga 1. Budushhee matematiki. S vvedeniem L.S.Pontrjagina. - M.: Nauka. 1990.

Anosov D.V. Gladkie dinamicheskie sistemy // Itogi nauki i tehn. ser. sovrem. probl. mat. fundam. napravlenija. Tom 1. 1985.

Fejnmanovskie lekcii po fizike [jelektronnyj resurs]

http://www.all-fizika.com/art


Refbacks

  • There are currently no refbacks.


Abava  Кибербезопасность IT Congress 2024

ISSN: 2307-8162