Signal processing of nonlinear dynamic systems
S V Sarkisov, S. Z. El'-Salim, А В Бондарев, A N Korpusov, P A Putilin · Journal of Physics Conference Series · 2021
Abstract The paper considers Hermite polynomials that act as a self-similar basis for the decomposition of functions in phase space. It is shown that the equations of behavior of nonlinear dynamical systems are simplified. It is also noted that the wavelet decomposition over Hermite polynomials reduces the number of approximation coefficients and improves the quality of approximation.