Every nonlinear element from Chua's table can generate pinched hysteresis loops: generalised homothety theorem. Issue 21 (1st October 2016)

• Record Type: Journal Article
• Authors: Biolek, D.; Biolek, Z.; Biolkova, V.
• Is Part Of: Electronics letters. Volume 52:Issue 21(2016)
• Page Start: 1744
• Page End: 1746
• Publication Date: 2016-10-01
• Subjects: Chua's circuit -- hysteresis -- memristor circuits; nonlinear element -- Chua table -- pinched hysteresis loops -- generalised homothety theorem -- memristor -- memcapacitor -- meminductor; Electronics -- Periodicals; 621.381
• DOI: 10.1049/el.2016.2961
• Languages: English
• ISSNs: 0013-5194

Abstract

Abstract : 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 generalised homothety theorem is introduced, which describes the regularities of such a hysteresis and its frequency dependence.