For citation:
Bezruchko B. P., Seleznev E. P., Smirnov D. A. Reconstructing equations of a nonautonomous nonlinear oscillator from a time series: models, experiment. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 1, pp. 49-67. DOI: 10.18500/0869-6632-1999-7-1-49-67
Reconstructing equations of a nonautonomous nonlinear oscillator from a time series: models, experiment
We present а procedure for constructing model differential equations of an oscillatory harmonically driven system from а scalars time series. The procedure uses а global reconstruction technique, and a priori information about the character of influence is taken into account. The procedure is tested using several well-known systems — nonlinear oscillators with different kinds of friction forces and potential functions. We
demonstrate its effectiveness by applying it to several examples, including the dynamical systems with added noise and the real radioengineering system — nonlinear RLC-circuit with switched capacitors.
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