Detail publikace

Strange attractors generated by multiple-valued static memory cell with polynomial approximation of resonant tunneling diodes

Originální název

Strange attractors generated by multiple-valued static memory cell with polynomial approximation of resonant tunneling diodes

Anglický název

Strange attractors generated by multiple-valued static memory cell with polynomial approximation of resonant tunneling diodes

Jazyk

en

Originální abstrakt

This paper brings analysis of the multiple-valued memory system (MVMS) composed by a pair of the resonant tunneling diodes (RTD). Ampere-voltage characteristic (AVC) of both diodes is approximated in operational voltage range as common in practice: by polynomial scalar function. Mathematical model of MVMS represents autonomous deterministic dynamical system with three degrees of freedom and smooth vector field. Based on the very recent results achieved for piecewise-linear MVMS numerical values of the parameters are calculated such that funnel and double spiral chaotic attractor is observed. Existence of such types of strange attractors is proved both numerically by using concept of the largest Lyapunov exponents (LLE) and experimentally by computer-aided simulation of designed lumped circuit using only commercially available active elements.

Anglický abstrakt

This paper brings analysis of the multiple-valued memory system (MVMS) composed by a pair of the resonant tunneling diodes (RTD). Ampere-voltage characteristic (AVC) of both diodes is approximated in operational voltage range as common in practice: by polynomial scalar function. Mathematical model of MVMS represents autonomous deterministic dynamical system with three degrees of freedom and smooth vector field. Based on the very recent results achieved for piecewise-linear MVMS numerical values of the parameters are calculated such that funnel and double spiral chaotic attractor is observed. Existence of such types of strange attractors is proved both numerically by using concept of the largest Lyapunov exponents (LLE) and experimentally by computer-aided simulation of designed lumped circuit using only commercially available active elements.

Plný text v Digitální knihovně

BibTex


@article{BUT149821,
  author="Jiří {Petržela}",
  title="Strange attractors generated by multiple-valued static memory cell with polynomial approximation of
resonant tunneling diodes",
  annote="This paper brings analysis of the multiple-valued memory system (MVMS) composed by a pair of the resonant tunneling diodes (RTD). Ampere-voltage characteristic (AVC) of both diodes is approximated in operational voltage range as common in practice: by polynomial scalar function. Mathematical model of MVMS represents autonomous deterministic dynamical system with three degrees of freedom and smooth vector field. Based on the very recent results achieved for piecewise-linear MVMS numerical values of the parameters are calculated such that funnel and double spiral chaotic attractor is observed. Existence of such types of strange attractors is proved both numerically by using concept of the largest Lyapunov exponents (LLE) and experimentally by computer-aided simulation of designed lumped circuit using only commercially available active elements.",
  address="MDPI",
  chapter="149821",
  doi="10.3390/e20090697",
  howpublished="online",
  institution="MDPI",
  number="9",
  volume="20",
  year="2018",
  month="september",
  pages="1--23",
  publisher="MDPI",
  type="journal article in Web of Science"
}