On one of the family of evolution operators

A T Absalamov, B A Ziyadinov

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2022-yil

Annotatsiya

In this paper we study dynamical systems generated by a gonosomal evolution operator of a bisexual population. We find explicitly all (uncountable set) of fixed points of the operator. It is shown that each fixed point has eigenvalues less or equal to 1. Moreover, we show that each trajectory converges to a fixed point, i.e. the operator is reqular. There are uncountable family of invariant sets each of which consisting unique fixed point. Thus there is one-to-one correspondence between such invariant sets and the set of fixed points. Any trajectory started at a point of the invariant set converges to the corresponding fixed point.

Maqola ma’lumotlari
MualliflarA T Absalamov, B A Ziyadinov
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2022-04-28
Jild3
Son133/1
Betlar1-9
TilIngliz
Ilmiy sohaSotsiologiya
DOI10.59251/2181-1296.v3.1331.605
Indeksga qo‘shilgan2026-09-02

Ilmiy soha

Iqtibos keltirish

APAA T Absalamov, & B A Ziyadinov (2022). ON ONE OF THE FAMILY OF EVOLUTION OPERATORS. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(133/1), 1-9. https://doi.org/10.59251/2181-1296.v3.1331.605
GOST (OAK)A T Absalamov, B A Ziyadinov ON ONE OF THE FAMILY OF EVOLUTION OPERATORS // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2022. – T. 3, № 133/1. – P. 1-9. – DOI: 10.59251/2181-1296.v3.1331.605.
MLAA T Absalamov, and B A Ziyadinov. “ON ONE OF THE FAMILY OF EVOLUTION OPERATORS.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(133/1), 1-9, 2022. https://doi.org/10.59251/2181-1296.v3.1331.605
ChicagoA T Absalamov, and B A Ziyadinov. “ON ONE OF THE FAMILY OF EVOLUTION OPERATORS.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(133/1), 1-9 (2022). https://doi.org/10.59251/2181-1296.v3.1331.605
HarvardA T Absalamov, and B A Ziyadinov (2022) ‘ON ONE OF THE FAMILY OF EVOLUTION OPERATORS’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 3(133/1), 1-9. https://doi.org/10.59251/2181-1296.v3.1331.605
BibTeX
@article{atabsalamov2022,
  title = {ON ONE OF THE FAMILY OF EVOLUTION OPERATORS},
  author = {A T Absalamov and B A Ziyadinov},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2022},
  volume = {3},
  number = {133/1},
  pages = {1-9},
  doi = {10.59251/2181-1296.v3.1331.605},
  url = {https://doi.org/10.59251/2181-1296.v3.1331.605}
}

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