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Are There an Infinite Number of Passive Circuit Elements in the World?

Wang, Frank Z. (2024) Are There an Infinite Number of Passive Circuit Elements in the World? Electronics, 13 (13). Article Number 2669. ISSN 2079-9292. (doi:10.3390/electronics13132669) (KAR id:106521)

Abstract

We found that a second-order ideal memristor [whose state is the charge, i.e., x=q in v=R(x,i,t)i] degenerates into a negative nonlinear resistor with an internal power source. After extending analytically and geographically the above local activity (experimentally verified by the two active higher-integral-order memristors extracted from the famous Hodgkin–Huxley circuit) to other higher-order circuit elements, we concluded that all higher-order passive memory circuit elements do not exist in nature and that the periodic table of the two-terminal passive ideal circuit elements can be dramatically reduced to a reduced table comprising only six passive elements: a resistor, inductor, capacitor, memristor, mem-inductor, and mem-capacitor. Such a bounded table answered an open question asked by Chua 40 years ago: Are there an infinite number of passive circuit elements in the world?

Item Type: Article
DOI/Identification number: 10.3390/electronics13132669
Uncontrolled keywords: memristor; nanoelectronic device; local activity; neuromorphic computing; artificial synapse
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Q Science > QA Mathematics (inc Computing science) > QA 75 Electronic computers. Computer science
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Funders: University of Kent (https://ror.org/00xkeyj56)
Depositing User: Frank Wang
Date Deposited: 09 Jul 2024 03:18 UTC
Last Modified: 24 Jul 2024 13:16 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/106521 (The current URI for this page, for reference purposes)

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