Publication detail

Dynamical Systems of Class C: Searching for the Most Robust Practical Implementation of the Chaotic Oscillator

PETRŽELA, J., HANUS, S.

Original Title

Dynamical Systems of Class C: Searching for the Most Robust Practical Implementation of the Chaotic Oscillator

English Title

Dynamical Systems of Class C: Searching for the Most Robust Practical Implementation of the Chaotic Oscillator

Type

conference paper

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

Publisher

WSEAS 2005

Location

Tenerife, Spanelsko

ISBN

960-8457-39-4

Book

Proceedings of the 4th International Conference on System Science and Simulation in Engineering ICOSSSE

Pages from

117

Pages to

122

Pages count

6

Documents

BibTex


@inproceedings{BUT16045,
  author="Jiří {Petržela} and Stanislav {Hanus} and Václav {Pospíšil}",
  title="Dynamical Systems of Class C: Searching for the Most Robust Practical Implementation of the 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.
",
  address="WSEAS 2005",
  booktitle="Proceedings of the 4th International Conference on System Science and Simulation in Engineering ICOSSSE",
  chapter="16045",
  howpublished="electronic, physical medium",
  institution="WSEAS 2005",
  year="2005",
  month="december",
  pages="117--122",
  publisher="WSEAS 2005",
  type="conference paper"
}