A Class of Lotka-Volterra Operators with Historical Behavior

Uygun Jamilov, Farrukh Mukhamedov

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In the present paper, we consider a family of Lotka-Volterra operators which are discrete-time dynamical systems. It is established that each such kind of operator has historical behavior on any interior point of the two-dimensional simplex. In particularly, we solve the Takens’ problem within the introduced class of operators. Moreover, it will be shown that the LV-operators also have uniformly historic behavior.

Original languageEnglish
Article number169
JournalResults in Mathematics
Volume77
Issue number4
DOIs
Publication statusPublished - Aug 2022

Keywords

  • historic behavior
  • Lotka-Volterra operator
  • non-ergodic
  • Takens’ problem

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Applied Mathematics

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