Basic Concepts of Dynamical Systems and Their Analysis in Examples

This article provides an introduction to the concept of dynamical systems and explores several fundamental notions, such as iterative processes, the orbit of an initial point, and fixed points. Along with theoretical definitions, a detailed analysis of these concepts is presented through various examples. Furthermore, to facilitate the learning process for undergraduate and graduate students entering the field of dynamical systems, each foundational concept is thoroughly explained using illustrative examples.

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