Open AccessDYNAMICAL AND TOPOLOGICAL INVARIANTS OF NONLINEAR DYNAMICS OF THE CHAOTIC LASER DIODES WITH AN ADDITIONAL OPTICAL INJECTION
Author(s) -
S. V. Kirianov,
A. A. Mashkantsev,
I. Bilan,
Anna V. Ignatenko
Publication year - 2021
Publication title -
fotoèlektronika
Language(s) - English
Resource type - Journals
ISSN - 0235-2435
DOI - 10.18524/0235-2435.2020.29.225636
Subject(s) - topological entropy , lyapunov exponent , chaotic , nonlinear system , optical chaos , statistical physics , embedding , topological entropy in physics , laser diode rate equations , mathematics , topology (electrical circuits) , physics , semiconductor laser theory , mathematical analysis , laser , quantum mechanics , pure mathematics , topological quantum number , computer science , artificial intelligence , combinatorics , injection seeder
Nonlinear chaotic dynamics of the of the chaotic laser diodes with an additional optical injection is computed within rate equations model, based on the a set of rate equations for the slave laser electric complex amplitude and carrier density. To calculate the system dynamics in a chaotic regime the known chaos theory and non-linear analysis methods such as a correlation integral algorithm, the Lyapunov’s exponents and Kolmogorov entropy analysis are used. There are listed the data of computing dynamical and topological invariants such as the correlation, embedding and Kaplan-Yorke dimensions, Lyapunov’s exponents, Kolmogorov entropy etc. New data on topological and dynamical invariants are computed and firstly presented.