Fractal structure of iterative time profiles
Marek Berezowski, Katarzyna Bizon
TL;DR
This paper analyzes how dynamical systems reach stability or oscillation states using iterative time profiles, revealing their chaotic and fractal characteristics through graphical representations.
Contribution
It introduces a novel theoretical approach using iterative time profiles to analyze the chaotic and fractal nature of dynamical system stabilization processes.
Findings
Iterative time profiles exhibit chaotic behavior.
Profiles demonstrate fractal structures.
Graphical representations illustrate the dynamics.
Abstract
The scope of the paper is the theoretical analysis of the time rate in which a dynamical system reaches a stable stationary state or stable oscillations. The method used for the analysis is based on the so-called iterative time profiles, demonstrating a chaotic and fractal nature of some of the profiles. The results were presented in the form of two and three-dimensional graphs.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.