
Analysis of a nonlinear system dynamics in the Morlet wavelet basis
Author(s) -
I. M. Dantsevich,
M. N. Lyutikova,
A.V. Novikov,
S. A. Osmukha
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/873/1/012035
Subject(s) - morlet wavelet , basis (linear algebra) , nonlinear system , vibration , harmonic , stability (learning theory) , dynamics (music) , wavelet , computer science , control theory (sociology) , physics , mathematics , wavelet transform , acoustics , artificial intelligence , quantum mechanics , discrete wavelet transform , geometry , control (management) , machine learning
The article illustrates the methodological study basis of the multi-frequency (packet) spectrum of sea waves in the influence on the associated system “ship-outboard complex of geophysical equipment”. The selection of the main harmonic of vibrations in the spectrum allows us to implement a compensator of the outboard system according to the stability conditions determined by the Morlet polynomials obtained from the decomposition of the observed dynamics of the system.