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- Title
On the existence of chaos in the electronically adjustable structures of the state variable filters.
- Authors
Petrzela, Jiri
- 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. Copyright © 2016 John Wiley & Sons, Ltd.
- Subjects
ELECTRIC filters; ANALOG function generators; MATHEMATICAL models; LYAPUNOV exponents; ELECTRONIC circuits
- Publication
International Journal of Circuit Theory & Applications, 2016, Vol 44, Issue 10, p1779
- ISSN
0098-9886
- Publication type
Article
- DOI
10.1002/cta.2193