Classification of Chaotic Behaviors in Jerky Dynamical Systems
- 15 February 2021
- journal article
- research article
- Published by Wolfram Research, Inc. in Complex Systems
- Vol. 30 (1), 93-110
- https://doi.org/10.25088/complexsystems.30.1.93
Abstract
Differential equations are widely used to model systems that change over time, some of which exhibit chaotic behaviors. This paper proposes two new methods to classify these behaviors that are utilized by a supervised machine learning algorithm. Dissipative chaotic systems, in contrast to conservative chaotic systems, seem to follow a certain visual pattern. Also, the machine learning program written in the Wolfram Language is utilized to classify chaotic behavior with an accuracy around 99.1 +/- 1.1%.Keywords
This publication has 1 reference indexed in Scilit:
- A Simple Chaotic Flow with a Continuously Adjustable Attractor DimensionInternational Journal of Bifurcation and Chaos, 2015