Reconstructing Nonautonomous System Models with Discrete Spectrum of External Action.

We describe a method of constructing model differential equations using the scalar chaotic time series for systems under external action with discrete spectrum. The approach is based on taking into account the explicit time dependence in the structure of a model and approximating this dependence by trigonometric series. The proposed method is verified by numerical experiments on standard nonlinear systems driven by periodic and quasiperiodic factors of various types. © 2003 MAIK “Nauka / Interperiodica”. [ABSTRACT FROM AUTHOR]