A Class of Lotka-Volterra Operators with Historical Behavior

Uygun Jamilov; Farrukh Mukhamedov

doi:10.1007/s00025-022-01706-4

A Class of Lotka-Volterra Operators with Historical Behavior

Uygun Jamilov, Farrukh Mukhamedov

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

5 Citations (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 language	English
Article number	169
Journal	Results in Mathematics
Volume	77
Issue number	4
DOIs	https://doi.org/10.1007/s00025-022-01706-4
Publication status	Published - Aug 2022

Keywords

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

ASJC Scopus subject areas

Mathematics (miscellaneous)
Applied Mathematics

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10.1007/s00025-022-01706-4

Cite this

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author = "Uygun Jamilov and Farrukh Mukhamedov",

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AB - 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.

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KW - non-ergodic

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A Class of Lotka-Volterra Operators with Historical Behavior

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Keywords

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