The Use of Smoothed Distribution Functions for the Study of Chaotic States in Nonlinear Dynamics Problems: A Computational Experiment
DOI:
https://doi.org/10.32603/2071-2340-2025-4-5-14Keywords:
nonlinear dynamics, chaos, distribution function, probability density, chaotic attractor, fluctuations of the distribution function, radiation spectra.Abstract
The possibility of describing the chaotic state of dynamical systems using a distribution function is considered. It is shown that for dissipative systems, the state of which corresponds to a chaotic attractor, an adequate description is possible with some averaging of the statistical distribution function over small volume elements in the phase space. The equation for the smoothed distribution function is obtained. The results are used to calculate the emission spectra of dynamical systems in a chaotic state.
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This work is licensed under a Creative Commons Attribution 4.0 International License.
