Publication detail

Nonlinear oscillator and its circuitry implementation using general impedance converter

PETRŽELA, J., HANUS, S.

Original Title

Nonlinear oscillator and its circuitry implementation using general impedance converter

English Title

Nonlinear oscillator and its circuitry implementation using general impedance converter

Type

conference paper

Language

en

Original Abstract

This paper shows the circuitry realization and practical verification of the autonomous nonlinear oscillator, which also represents a maximally simplified dynamical system of class C. Since it is described by a third-order differential equation, its state variables can be considered as position, velocity and acceleration and thus have a direct connection to a physical system. Moreover, for some narrow set of parameters, it can exhibit complex behavior including chaos.

English abstract

This paper shows the circuitry realization and practical verification of the autonomous nonlinear oscillator, which also represents a maximally simplified dynamical system of class C. Since it is described by a third-order differential equation, its state variables can be considered as position, velocity and acceleration and thus have a direct connection to a physical system. Moreover, for some narrow set of parameters, it can exhibit complex behavior including chaos.

Keywords

nonlinear oscillator, chaos, circuit realization, measurement

RIV year

2005

Released

15.09.2005

Publisher

FEEC VUT

Location

Brno

ISBN

80-214-2990-9

Book

Proceedings of the Electronic Devices and Systems EDS 2005

Pages from

77

Pages to

82

Pages count

6

Documents

BibTex


@inproceedings{BUT15118,
  author="Jiří {Petržela} and Stanislav {Hanus}",
  title="Nonlinear oscillator and its circuitry implementation using general impedance converter",
  annote="This paper shows the circuitry realization and practical verification of the autonomous nonlinear oscillator, which also represents a maximally simplified dynamical system of class C. Since it is described by a third-order differential equation, its state variables can be considered as position, velocity and acceleration and thus have a direct connection to a physical system. Moreover, for some narrow set of parameters, it can exhibit complex behavior including chaos.",
  address="FEEC VUT",
  booktitle="Proceedings of the Electronic Devices and Systems EDS 2005",
  chapter="15118",
  howpublished="electronic, physical medium",
  institution="FEEC VUT",
  year="2005",
  month="september",
  pages="77--82",
  publisher="FEEC VUT",
  type="conference paper"
}