Every Nonlinear Element from Chua's Table Can Generate Pinched Hysteresis Loops: Generalised Homothety Theorem

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2016-10-09
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Mark
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IET, The Institution of Engineering and Technology
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The pinched hysteresis loops drawn in the voltage-current, voltage-charge, and flux-current characteristics belong to well-known fingerprints of the memory elements known as the memristor, memcapacitor, and meminductor. It is shown that generating such loops is in fact a natural attribute of all nonlinear elements from Chua's table, and that the hysteresis need not necessarily be a manifestation of the internal memory of the element. A generalized homothety theorem is introduced, which describes the regularities of such a hysteresis and its frequency dependence.
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Electronics Letters. 2016, vol. 52, issue 21, p. 1744-1746.
http://digital-library.theiet.org/deliver/fulltext/el/52/21/EL.2016.2961.pdf
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en
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Creative Commons Attribution 3.0 Unported
http://creativecommons.org/licenses/by/3.0/
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