Publication result detail

Nonlinear oscillator as a generator of chaos

PETRŽELA, J.

Original Title

Nonlinear oscillator as a generator of chaos

English Title

Nonlinear oscillator as a generator of chaos

Type

Paper in proceedings (conference paper)

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 position, velocity and acceleration and thus have a direct connection to a real physical system. Moreover, for some specific configurations of internal system parameters, it can exhibit period doubling bifurcation leading to chaos.

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 position, velocity and acceleration and thus have a direct connection to a real physical system. Moreover, for some specific configurations of internal system parameters, it can exhibit period doubling bifurcation leading to chaos.

Keywords

nonlinear oscillator, chaos, circuit realization, measurement

Key words in English

nonlinear oscillator, chaos, circuit realization, measurement

Authors

PETRŽELA, J.

Released

24.10.2005

Publisher

MSD s r.o.

Location

Brno

ISBN

80-214-3089-3

Book

Seminář o řešení projektu GA ČR 102/03/H105: Moderní metody řešení, návrhu a aplikace elektronických obvodů

Pages from

7

Pages to

12

Pages count

6

BibTex

@inproceedings{BUT21133,
  author="Jiří {Petržela}",
  title="Nonlinear oscillator as a generator of chaos",
  booktitle="Seminář o řešení projektu GA ČR 102/03/H105: Moderní metody řešení, návrhu a aplikace elektronických obvodů",
  year="2005",
  pages="7--12",
  publisher="MSD s r.o.",
  address="Brno",
  isbn="80-214-3089-3"
}