Method for reconstruction of equations with harmonic driving from time series

Boris Petrovich Bezruchko, Dmitri Smirnov · Izvestiya VUZ Applied Nonlinear Dynamics · 2001

We propose a general approach to constructing global models of harmonically driven systems from time series. It is a modification of the standard method of global reconstruction of differential equations - a polynomial, which arguments are sequential derivatives of an observable along with explicit functions of time, enters in model equations. Efficiency and details of the approach are demonstrated by various numerical examples.

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