Fractal trajectories of the dynamical system
Marek Berezowski
TL;DR
This paper provides a theoretical analysis of a dynamical system modeled by the Weierstrass function, demonstrating its fractal trajectory structure and calculating its system entropy.
Contribution
It introduces a novel theoretical framework for analyzing dynamical systems with fractal trajectories using the Weierstrass function.
Findings
Proved the fractal nature of the system trajectories
Calculated the entropy of the system information
Established a mathematical model based on the Weierstrass function
Abstract
The scope of the paper is a theoretical analysis of the dynamical system, the model of which was reduced to Weierstrasse function. A fractal structure of the trajectory was proved and the entropy of the system information designated.
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Taxonomy
TopicsChaos control and synchronization · Fractional Differential Equations Solutions · Complex Systems and Time Series Analysis