Detail publikace

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

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

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.

Klíčová slova

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

Autoři

PETRŽELA, J., HANUS, S., KOLKA, Z.

Rok RIV

2006

Vydáno

25. 3. 2006

ISSN

1210-2512

Periodikum

Radioengineering

Ročník

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"
}