Discrete-Time Dynamical Systems Generated by a Quadratic Operator

In this paper, we examine a specific class of quadratic operators. For these operators, we identified all fixed points and categorized their types in the general case. Our analysis revealed that there are no attractive fixed points except the origin. Additionally, we investigated the global dynamics...

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Bibliographic Details
Published inarXiv.org
Main Authors Shoyimardonov, S K, Rozikov, U A
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 20.09.2024
Subjects
Discrete time systems
Operators
Two dimensional analysis
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Summary:In this paper, we examine a specific class of quadratic operators. For these operators, we identified all fixed points and categorized their types in the general case. Our analysis revealed that there are no attractive fixed points except the origin. Additionally, we investigated the global dynamics in the two-dimensional case and generalized several results obtained for lower-dimensional scenarios
ISSN:2331-8422