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

We found that a second-order ideal memristor [whose state is the charge, i.e., x=q in v=Rx,i,ti] 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-in...

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Veröffentlicht in:Electronics (Basel) 2024-07, Vol.13 (13), p.2669
1. Verfasser: Wang, Frank Zhigang
Format: Artikel
Sprache:eng
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Zusammenfassung:We found that a second-order ideal memristor [whose state is the charge, i.e., x=q in v=Rx,i,ti] 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?
ISSN:2079-9292
2079-9292
DOI:10.3390/electronics13132669