Open AccessADVANCED COMPUTING TOPOLOGICAL AND DYNAMICAL INVARIANTS OF RELATIVISTIC BACKWARD-WAVE TUBE TIME SERIES IN CHAOTIC AND HYPERCHAOTIC REGIMES
Author(s) -
А. В. Цудик,
А. В. Глушков,
V. B. Ternovsky,
P. A. Zaichko
Publication year - 2021
Publication title -
fotoèlektronika
Language(s) - English
Resource type - Journals
ISSN - 0235-2435
DOI - 10.18524/0235-2435.2020.29.225596
Subject(s) - lyapunov exponent , chaotic , topological entropy , phase space , physics , series (stratigraphy) , embedding , statistical physics , dynamical systems theory , field (mathematics) , classical mechanics , mathematics , quantum mechanics , computer science , pure mathematics , nonlinear system , paleontology , artificial intelligence , biology
The advanced results of computing the dynamical and topological invariants (correlation dimensions values, embedding, Kaplan-York dimensions, Lyapunov’s exponents, Kolmogorov entropy etc) of the dynamics time series of the relativistic backward-wave tube with accounting for dissipation and space charge field and other effects are presented for chaotic and hyperchaotic regimes. It is solved a system of equations for unidimensional relativistic electron phase and field unidimensional complex amplitude. The data obtained make more exact earlier presented preliminary data for dynamical and topological invariants of the relativistic backward-wave tube dynamics in chaotic regimes and allow to describe a scenario of transition to chaos in temporal dynamics.