Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Dokumenty

BibTex


@inproceedings{BUT149805,
  author="Jiří {Petržela}",
  title="Chaotic oscillator based on mathematical model of multiple-valued memory cell",
  annote="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.",
  address="IEEE",
  booktitle="Proceedings of 23rd International Conference Applied Electronics 2018",
  chapter="149805",
  doi="10.23919/AE.2018.8501458",
  howpublished="print",
  institution="IEEE",
  year="2018",
  month="september",
  pages="113--116",
  publisher="IEEE",
  type="conference paper"
}