Detail publikačního výsledku

Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment

PETRŽELA, J., HANUS, S., KOLKA, Z.

Originální název

Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment

Anglický název

Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

PETRŽELA, J., HANUS, S., KOLKA, Z.

Rok RIV

2010

Vydáno

25.03.2006

ISSN

1210-2512

Periodikum

Radioengineering

Svazek

15

Číslo

1

Stát

Česká republika

Strany od

6

Strany do

11

Strany počet

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"
}