Detail publikace

Binary memory with orthogonal eigenspaces: from stable states to chaotic oscillations

Originální název

Binary memory with orthogonal eigenspaces: from stable states to chaotic oscillations

Anglický název

Binary memory with orthogonal eigenspaces: from stable states to chaotic oscillations

Jazyk

en

Originální abstrakt

This short paper demonstrates numerically and experimentally observed transitions between the stable states, regular and chaotic oscillations in the case of state representations of binary memory transformed into the Jordan form. Math model of original memory describes simple anti-series connection of two resonant tunneling diodes (RTDs). Derived third-order dynamical system is analyzed with respect to global behavior and, consequently, implemented as lumped analog circuit with piecewise linear (PWL) vector field. Oscilloscope screenshots prove that chaotic motion of binary memory is robust.

Anglický abstrakt

This short paper demonstrates numerically and experimentally observed transitions between the stable states, regular and chaotic oscillations in the case of state representations of binary memory transformed into the Jordan form. Math model of original memory describes simple anti-series connection of two resonant tunneling diodes (RTDs). Derived third-order dynamical system is analyzed with respect to global behavior and, consequently, implemented as lumped analog circuit with piecewise linear (PWL) vector field. Oscilloscope screenshots prove that chaotic motion of binary memory is robust.

BibTex


@article{BUT163198,
  author="Jiří {Petržela}",
  title="Binary memory with orthogonal eigenspaces: from stable states to chaotic oscillations",
  annote="This short paper demonstrates numerically and experimentally observed transitions between the stable states, regular and chaotic oscillations in the case of state representations of binary memory transformed into the Jordan form. Math model of original memory describes simple anti-series connection of two resonant tunneling diodes (RTDs). Derived third-order dynamical system is analyzed with respect to global behavior and, consequently, implemented as lumped analog circuit with piecewise linear (PWL) vector field. Oscilloscope screenshots prove that chaotic motion of binary memory is robust.",
  address="Springer",
  chapter="163198",
  doi="10.1140/epjst/e2020-900242-1",
  howpublished="online",
  institution="Springer",
  number="1",
  volume="229",
  year="2020",
  month="march",
  pages="1021--1032",
  publisher="Springer",
  type="journal article in Web of Science"
}