Open AccessМетод диагностики обобщенной синхронизации в системах со сложной топологией хаотического аттрактора
Author(s) -
О.И. Москаленко,
В.А. Ханадеев,
А.А. Короновский
Publication year - 2018
Publication title -
pisʹma v žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-7471
pISSN - 0320-0116
DOI - 10.21883/pjtf.2018.19.46687.17391
Subject(s) - lyapunov exponent , attractor , chaotic , phase space , topology (electrical circuits) , synchronization (alternating current) , state space , synchronization of chaos , state (computer science) , phase synchronization , control theory (sociology) , mathematics , computer science , statistical physics , physics , mathematical analysis , algorithm , quantum mechanics , statistics , control (management) , combinatorics , artificial intelligence
A diagnostic technique is proposed for the mode of generalized synchronization in systems with a complex chaotic attractor topology based on consideration of tubes of trajectories in the phase space of interacting systems. The method functionality is tested by the numerical simulation of two mutually coupled modified Lorentz systems: one in the chaotic state, and another in the hyperchaotic state. The results are compared to the data obtained by calculating the Lyapunov exponent spectrum and show good agreement.