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Duality rules in circuits containing memristors and other nonlinear elements (Keynote)

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F19%3APU134659" target="_blank" >RIV/00216305:26220/19:PU134659 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Duality rules in circuits containing memristors and other nonlinear elements (Keynote)

  • Original language description

    The classical duality principle, introduced by Russel in 1904, is limited to circuits built from R-C-L elements. This concept was extended by Itoh and Chua in 2013 to memristors, memcapacitors, and meminductors. It will be shown in this talk that these two concepts of the duality are special subsets of a more general principle, which has interesting associations with Chua’s table (CT) of fundamental circuit elements and with the equivalent storeyed structure (SS). It turns out that the combination of associated flip-type, shift-type, and translational-type transformations of the circuit elements in the CT or SS can generate dual networks with interesting features. It is demonstrated on nonlinear dynamic systems and processes how such regularities of the duality can be used for their modeling, hardware emulation, or synthesis. As a particular consequence of these transformations, systems built from memristors can be adequately studied via their dual “easy-to-built” circuits which exhibit exactly the sa

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

  • OECD FORD branch

    20201 - Electrical and electronic engineering

Result continuities

  • Project

    <a href="/en/project/GA18-21608S" target="_blank" >GA18-21608S: Memristors and other unconventional circuit elements</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů