Publication detail

On the existence of chaos in the electronically adjustable structures of the state variable filters

PETRŽELA, J.

Original Title

On the existence of chaos in the electronically adjustable structures of the state variable filters

English Title

On the existence of chaos in the electronically adjustable structures of the state variable filters

Type

journal article in Web of Science

Language

en

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.

English 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

Released

25.01.2016

Publisher

John Wiley & Sons

ISBN

0098-9886

Periodical

International Journal of Circuit Theory and Applications.

Year of study

44

Number

10

State

GB

Pages from

1779

Pages to

1797

Pages count

19

Documents

BibTex


@article{BUT121060,
  author="Jiří {Petržela}",
  title="On the existence of chaos in the electronically adjustable structures of the state variable filters",
  annote="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.",
  address="John Wiley & Sons",
  chapter="121060",
  doi="10.1002/cta.2193",
  howpublished="online",
  institution="John Wiley & Sons",
  number="10",
  volume="44",
  year="2016",
  month="january",
  pages="1779--1797",
  publisher="John Wiley & Sons",
  type="journal article in Web of Science"
}