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

For citation:

Brjuhanov J. A., Glyzin S. D. Stable periodic conditions of some digital filter difference model with saturation characteristic. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 4, pp. 53-61. DOI: 10.18500/0869-6632-1995-3-4-53-61

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.372.01
DOI: 
10.18500/0869-6632-1995-3-4-53-61

Stable periodic conditions of some digital filter difference model with saturation characteristic

Autors: 
Brjuhanov Jurij Aleksandrovich, P. G. Demidov Yaroslavl State University
Glyzin Sergey Dmitrievich, P. G. Demidov Yaroslavl State University
Abstract: 

Dynamical properties of some nonlinear difference second-order equation with piecewise-linear right parts, modelling the simple digital filter, are considered. The breakdown of parameter plane was built. In each part of this breakdown the model quantitative behavior is the same. Numerical and analitical investigations showed the appearance of scaling structure on parameter plane. The existence of only periodical or quasiperiodical solutions was demonstrated.

Key words: 
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Reference: 
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  2. Chua LO, Lin T. Fractal pattern of second-order nonlinear digital filters: a new symbolic analysis. Int. J. Circuit Theory Appl. 1990;18(6):541-550. DOI: 10.1002/cta.4490180602.
  3. Ogorzalek MJ. Complex behavior in digital filters. Int. J. Bif. Chaos. 1992;2(1):11-29. DOI: 10.1142/S0218127492000033.
  4. Bryukhanov YuA, Glyzin SD, Rakhmanova NK. Dynamic properties of the difference model of the digital filter with a cup-linear characteristic of the saturation type. Preprint No. 91. Keldysh Institute of Applied Mathematics; 1993. 20 p.
  5. Bryukhanov YuA, Glyzin SD, Rakhmanova NK. Dynamics of the digital filter with a piecewise linear characteristic of the saturation type. Analytical study. Preprint No. 17. Keldysh Institute of Applied Mathematics; 1994. 30 p.
Received: 
04.10.1994
Accepted: 
04.01.1996
Published: 
13.10.1996
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