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
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DOI - Digital Object Identifier
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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
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
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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