Publication detail

On the Design of Robust Chaotic Oscillator

PETRŽELA, J., POSPÍŠIL, V., HANUS, S.

Original Title

On the Design of Robust Chaotic Oscillator

English Title

On the Design of Robust Chaotic Oscillator

Type

journal article - other

Language

en

Original Abstract

This contribution is about a design of universal chaotic oscillator based on the integrator synthesis, which represents a class of dynamical systems with piecewise linear vector fields. Final circuit consists of commercially available devices and provide us with good agreement between theoretical expectations and practical measurements. This is documented by a gallery of the oscilloscope screenshots. Moreover, one possible configuration of proposed circuit also exhibits the lowest sensitivity of the state space attractors with respect to the changes or uncertaines of the system parameters, which is prooved by a Monte-Carlo analysis together with the presence of positive one-dimensional Lyapunov exponent.

English abstract

This contribution is about a design of universal chaotic oscillator based on the integrator synthesis, which represents a class of dynamical systems with piecewise linear vector fields. Final circuit consists of commercially available devices and provide us with good agreement between theoretical expectations and practical measurements. This is documented by a gallery of the oscilloscope screenshots. Moreover, one possible configuration of proposed circuit also exhibits the lowest sensitivity of the state space attractors with respect to the changes or uncertaines of the system parameters, which is prooved by a Monte-Carlo analysis together with the presence of positive one-dimensional Lyapunov exponent.

Keywords

autonomous oscillator, chaos, Lyapunov exponents, eigenvalues

RIV year

2005

Released

15.12.2005

ISBN

1109-2734

Periodical

WSEAS Transactions on Circuits

Year of study

5

Number

1

State

GR

Pages from

32

Pages to

38

Pages count

7

Documents

BibTex


@article{BUT46597,
  author="Jiří {Petržela} and Václav {Pospíšil} and Stanislav {Hanus}",
  title="On the Design of Robust Chaotic Oscillator",
  annote="This contribution is about a design of universal chaotic oscillator based on the integrator synthesis, which represents a class of dynamical systems with piecewise linear vector fields. Final circuit consists of commercially available devices and provide us with good agreement between theoretical expectations and practical measurements. This is documented by a gallery of the oscilloscope screenshots. Moreover, one possible configuration of proposed circuit also exhibits the lowest sensitivity of the state space attractors with respect to the changes or uncertaines of the system parameters, which is prooved by a Monte-Carlo analysis together with the presence of positive one-dimensional Lyapunov exponent.",
  chapter="46597",
  howpublished="print",
  journal="WSEAS Transactions on Circuits",
  number="1",
  volume="5",
  year="2005",
  month="december",
  pages="32--38",
  type="journal article - other"
}