Abstract
We analyze periodic free oscillations in a second-order system with its parameter domain lying below the stability triangle. Nonlinear processes are reduced to linear one-dimensional mappings. We determine reasons for the changes in the motion periods and obtain formulas for their calculation.
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References
Z. Galias and M. J. Ogorzalek,IEEE Trans. Circuits Syst.,CAS-37, No. 8, 1068 (1990).
M. J. Ogorazlek,Int. J. Bifur. Chaos,2, No. 1, 11 (1992).
Yu. A. Bryukhanov, S. D. Glyzin, and N. K. Rakhmanova, “Dynamic properties of the difference model of a digital filter with piecewise-linear characteristic of the saturation type,” Preprint No. 91. M. V. Keldysh Inst. Appl. Math., Rus. Acad. Sci., Moscow (1993).
Yu. A. Bryukhanov, S. D. Glyzin, and N. K. Rakhmanova, “Dynamics of a digital filter with a piecewise-linear characteristic of the saturation type-Analytical Study,” Preprint No. 17, M. V. Keldysh Inst. Appl. Math., Rus. Acad. Sci., Moscow (1994).
Yu. A. Bryukhanov and S. D. Glyzin,Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Dinam.,3, No. 4, 53 (1995).
Yu. A. Bryukhanov,Radiotekhnika, No. 5, 46 (1996).
Additional information
State University, Yaroslavl’, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 43, No. 1, pp. 59–65, September 2000.
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Bryukhanov, Y.A. Periodic motions in a digital recursive second-order system with saturation nonlinearity. Radiophys Quantum Electron 43, 54–60 (2000). https://doi.org/10.1007/BF02677137
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DOI: https://doi.org/10.1007/BF02677137