Study of discrete- time dynamical systems in R2
No Thumbnail Available
Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
University of Oum El Bouaghi
Abstract
In this work, we study the recurrence or transformation T of the second order. We determine the regions in phase space where the riddled basins and intermingled basins denote a characteristic type of fractal domain of attraction that can arise when chaotic motion is confined to an invariant subspace of the total phase space. We explore certain properties of critical curves. Finally, we investigate the fundamental bifurcations that lead to qualitative changes in the structure of an attractor basin.
Description
Keywords
Discrete- time; Dynamical systems : R2