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The method of calculating forced oscillations in nonlinear discrete-time systems under periodic external actions

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Radiophysics and Quantum Electronics Aims and scope

We consider a method for calculating forced oscillations in nonlinear discrete-time systems under periodic external actions. The method is based on representing the stationary oscillations in the form of an invariant set of nonlinear discrete point mappings and allows one to calculate the nonlinear-system response in the steady-state regime. The examples of using this method for calculating forced oscillations in the first- and second-order nonlinear recursive systems under the harmonic-signal action on such systems are presented.

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Authors and Affiliations

  1. P. G. Demidov Yaroslavl’ State University, Yaroslavl’, Russia

    Yu. A. Bryuhanov

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  1. Yu. A. Bryuhanov
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Correspondence to Yu. A. Bryuhanov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 53, No. 3, pp. 228–234, March 2010.

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Bryuhanov, Y.A. The method of calculating forced oscillations in nonlinear discrete-time systems under periodic external actions. Radiophys Quantum El 53, 207–213 (2010). https://doi.org/10.1007/s11141-010-9217-9

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  • DOI: https://doi.org/10.1007/s11141-010-9217-9

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