Detail publikačního výsledku

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

PETRŽELA, J.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

analog filter; biquadratic section; chaotic motion; non-autonomous dynamics; nonlinear system; transfer function

Klíčová slova v angličtině

analog filter; biquadratic section; chaotic motion; non-autonomous dynamics; nonlinear system; transfer function

Autoři

PETRŽELA, J.

Rok RIV

2017

Vydáno

25.01.2016

Nakladatel

John Wiley & Sons

ISSN

0098-9886

Periodikum

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS

Svazek

44

Číslo

10

Stát

Spojené království Velké Británie a Severního Irska

Strany od

1779

Strany do

1797

Strany počet

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"
}