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PETRŽELA, J.
Original Title
On the existence of chaos in the electronically adjustable structures of the state variable filters
Type
journal article in Web of Science
Language
English
Original Abstract
As demonstrated in the paper, chaotic motion can appear in state variable filters, that is, common network structures dedicated for analog signal processing. In particular, two Kerwin–Huelsman–Newcomb biquadratic filtering sections are considered for theoretical, numerical and experimental analysis. Mathematical models are designed, and conditions for evolution of typical strange attractors are provided. The corresponding largest Lyapunov exponent is calculated and visualized as a function of internal system parameters and the shape of input harmonic waveform. Mutual connection between the mathematical model and the real lumped electronic circuit is discussed in detail.
Keywords
analog filter; biquadratic section; chaotic motion; non-autonomous dynamics; nonlinear system; transfer function
Authors
Released
25. 1. 2016
Publisher
John Wiley & Sons
ISBN
0098-9886
Periodical
International Journal of Circuit Theory and Applications.
Year of study
44
Number
10
State
United Kingdom of Great Britain and Northern Ireland
Pages from
1779
Pages to
1797
Pages count
19
BibTex
@article{BUT121060, author="Jiří {Petržela}", title="On the existence of chaos in the electronically adjustable structures of the state variable filters", journal="International Journal of Circuit Theory and Applications.", year="2016", volume="44", number="10", pages="1779--1797", doi="10.1002/cta.2193", issn="0098-9886" }