Publication result detail

Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment

PETRŽELA, J., HANUS, S., KOLKA, Z.

Original Title

Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment

English Title

Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

This paper shows the circuitry implementation and practical verification of the autonomous nonlinear oscillator. Since it is described by a single third-order differential equation, its state variables can be considered as the position, velocity and acceleration and thus have direct connection to a real physical system. Moreover, for some specific configurations of internal system parameters, it can exhibit a period doubling bifurcation leading to chaos. Two different structures of the nonlinear element were verified by a comparison of numerically integrated trajectory with the oscilloscope screenshots.

English abstract

This paper shows the circuitry implementation and practical verification of the autonomous nonlinear oscillator. Since it is described by a single third-order differential equation, its state variables can be considered as the position, velocity and acceleration and thus have direct connection to a real physical system. Moreover, for some specific configurations of internal system parameters, it can exhibit a period doubling bifurcation leading to chaos. Two different structures of the nonlinear element were verified by a comparison of numerically integrated trajectory with the oscilloscope screenshots.

Keywords

Nonlinear oscillator, chaos, Lyapunov exponents, circuit realization, measurement

Key words in English

Nonlinear oscillator, chaos, Lyapunov exponents, circuit realization, measurement

Authors

PETRŽELA, J., HANUS, S., KOLKA, Z.

RIV year

2010

Released

25.03.2006

ISBN

1210-2512

Periodical

Radioengineering

Volume

15

Number

1

State

Czech Republic

Pages from

6

Pages to

11

Pages count

6

BibTex

@article{BUT46676,
  author="Jiří {Petržela} and Stanislav {Hanus} and Zdeněk {Kolka}",
  title="Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment",
  journal="Radioengineering",
  year="2006",
  volume="15",
  number="1",
  pages="6--11",
  issn="1210-2512"
}