BASIC CONCEPTS OF DYNAMIC SYSTEMS (APPLICATION OF THE FIXED POINT THEOREM TO PERIODIC POINTS AND ITS ANALYSIS IN EXAMPLES)
Vol. 6 No. 5 (2026) 5-11
Abstract
This article discusses fixed points and their characteristics (i.e., whether a fixed point is attracting or repelling), which constitute one of the essential concepts in dynamic systems. Furthermore, this paper is mainly devoted to periodic points and the types of their characteristics. In this context, the classification of periodic points into attracting, repelling, or neutral types is examined, along with a detailed discussion on weakly attracting types among neutral points.
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References
Devaney, Robert L., A first course in chaotic dynamical systems: theory and experiment 1992
Rozikov U. A., Solaeva M.N., Behavior of trajectories of a quadratic operator splitted to uncountable linear operators. {it Lobachevskii Journal of Mathematics.} 2023, Vol. 44, No. 7, p. 2910-2915.
Solayeva Mehribon Norimonovna. DINAMIK SISTEMALARNING BOSHLANG’ICH TUSHUNCHALARI (QO’ZG’ALMAS NUQTA VA SIKLIK NUQTALAR) VA ULARNI MISOLLARDAGI TAHLILLARI. Latin American Journal of Education https://lajoe.org/index.php/LAJoE/article/view/1371
Solayeva Mehribon Norimonovna. Basic Concepts of Dynamical Systems and Their Analysis in Examples. American Journal of Applied Science and Technology (ISSN: 2771-2745). https://doi.org/10.37547/ajast/Volume06Issue04-14
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