ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Brjuhanov J. A., Myasnikov E. A. Parameters of limit cycle in recursive second-order digital system with one quantizer. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 1, pp. 21-28. DOI: 10.18500/0869-6632-2000-8-1-21-28

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.372.01
DOI: 
10.18500/0869-6632-2000-8-1-21-28

Parameters of limit cycle in recursive second-order digital system with one quantizer

Autors: 
Brjuhanov Jurij Aleksandrovich, P. G. Demidov Yaroslavl State University
Myasnikov Evgenii Anatolevich, P. G. Demidov Yaroslavl State University
Abstract: 

Parameters of limit cycles in second—order digital system with non—linear adder are investigated. Two kinds of quantization way are considered: rounding and value truncation. New analytical and computer aimed methods are proposed for investigation of limit cycles parameters dependencies upon the system coefficients. Upper bounds of limit cycles amplitudes are obtained by the first method. These bounds are rational functions of system coefficients and are verified by the second method.

Key words: 
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Acknowledgments: 
The work was supported by the RFBR (grant № 99-02-17939).
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Received: 
13.07.1999
Accepted: 
26.01.2000
Published: 
15.04.2000
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