Publication result detail

Chaotic oscillator based on mathematical model of multiple-valued memory cell

PETRŽELA, J.

Original Title

Chaotic oscillator based on mathematical model of multiple-valued memory cell

English Title

Chaotic oscillator based on mathematical model of multiple-valued memory cell

Type

Paper in proceedings (conference paper)

Original Abstract

This paper describes development of analog chaotic oscillator based on mathematical model of static multiple-valued memory system. Underlying dynamics is covered by set of three ordinary differential equations without driving force and stochastic processes. Existence of chaos is proved both numerically by calculation of the largest Lyapunov exponent (LLE) and experimentally by real laboratory experiments; these can be considered as evidence of the robustness and structural stability of the observed strange attractors. Even though analyzed dynamical system is topologically conjugated to famous Chua´s oscillator (proved in paper) discovered circuitry can be considered as novel chaotic oscillator.

English abstract

This paper describes development of analog chaotic oscillator based on mathematical model of static multiple-valued memory system. Underlying dynamics is covered by set of three ordinary differential equations without driving force and stochastic processes. Existence of chaos is proved both numerically by calculation of the largest Lyapunov exponent (LLE) and experimentally by real laboratory experiments; these can be considered as evidence of the robustness and structural stability of the observed strange attractors. Even though analyzed dynamical system is topologically conjugated to famous Chua´s oscillator (proved in paper) discovered circuitry can be considered as novel chaotic oscillator.

Keywords

analog oscillator; chaos; linear topological conjugacy; Lyapunov exponents; nonlinear dynamics; static memory; strange attractors

Key words in English

analog oscillator; chaos; linear topological conjugacy; Lyapunov exponents; nonlinear dynamics; static memory; strange attractors

Authors

PETRŽELA, J.

RIV year

2019

Released

11.09.2018

Publisher

IEEE

Location

Pilsen, Czech Republic

ISBN

978-80-261-0721-7

Book

Proceedings of 23rd International Conference Applied Electronics 2018

Pages from

113

Pages to

116

Pages count

4

URL

http://www.appel.zcu.cz/

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@inproceedings{BUT149805,
  author="Jiří {Petržela}",
  title="Chaotic oscillator based on mathematical model of multiple-valued memory cell",
  booktitle="Proceedings of 23rd International Conference Applied Electronics 2018",
  year="2018",
  pages="113--116",
  publisher="IEEE",
  address="Pilsen, Czech Republic",
  doi="10.23919/AE.2018.8501458",
  isbn="978-80-261-0721-7",
  url="http://www.appel.zcu.cz/"
}