Publication detail

Novel circuit implementation of universal and fully analog chaotic oscillator

HRUBOŠ, Z.

Original Title

Novel circuit implementation of universal and fully analog chaotic oscillator

Type

journal article - other

Language

English

Original Abstract

It has been shown that the so-called dynamical system of class C can be used for studying chaotic motions. Even though we are speaking about a deterministic dynamical systems, theirs future evolution can hardly be predicted. It is due to the extreme sensitivity on tiny changes in the initial conditions. Everything follows from the general theory of the chaotic dynamics – one must have a large number of unstable initial conditions. This also suggests that a little change in the values of variable parameters can cause a dramatic change of the state space attractor's shape. This was also the main motivations to the construction of the optimized dynamical system of class C with piecewise-linear (PWL) feedback. Based on the given system of first-order differential equations, a fully analog chaotic oscillator works in hybrid mode has been discovered for laboratory measurements. Main contribution of this work is right in circuitry implementation of a fully analog chaotic oscillator with a new available active elements. The advantage is immediately evident. The smaller number of active elements is in the whole circuit. The proper function of the final circuit structure has been verified by means of the PSpice simulator as well as by a practical experiments on the real oscillator. The corresponding results are also given.

Keywords

Dynamic system, deterministic, chaos, attractor, universal, fully analog oscillator, class C, differential equations, optimized systems design, integrator synthesis, functional blocks, operational amplifiers, simulation, plane projection, time behavior, laboratory sample.

Authors

HRUBOŠ, Z.

RIV year

2012

Released

1. 7. 2012

Location

Polsko

ISBN

0033-2097

Periodical

Przeglad Elektrotechniczny

Year of study

2012

Number

07a

State

Republic of Poland

Pages from

18

Pages to

22

Pages count

5

BibTex

@article{BUT94860,
  author="Zdeněk {Hruboš}",
  title="Novel circuit implementation of universal and fully analog chaotic oscillator",
  journal="Przeglad Elektrotechniczny",
  year="2012",
  volume="2012",
  number="07a",
  pages="18--22",
  issn="0033-2097"
}