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Pinched hysteretic loops of ideal memristors, memcapacitors and meminductors must be 'self-crossing'

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3 Author(s)
Biolek, D. ; Dept. of Electr. Eng./Microelectron., Univ. of Defence, Brno, Czech Republic ; Biolek, Z. ; Biolkova, V.

Recently, novel findings have been published, according to which some mem-systems excited by harmonic signals can be characterised by the so-called `non-crossing-type pinched hysteretic loops`. Presented is a proof that this phenomenon cannot occur in ideal memristors, memcapacitors and meminductors which are defined axiomatically via the corresponding constitutive relations or via other equivalent characteristics, and that the `crossing-type hysteretic loop` is thus one of their typical fingerprints.

Published in:

Electronics Letters  (Volume:47 ,  Issue: 25 )