Memfractance: A Mathematical Paradigm for Circuit Elements with Memory
Résumé
Memristor, the missing fourth passive circuit element predicted forty years ago by Chua was
recognized as a nanoscale device in 2008 by researchers of a H. P. Laboratory. Recently the notion
of memristive systems was extended to capacitive and inductive elements, namely, memcapacitor
and meminductor whose properties depend on the state and history of the system. In this paper,
we use fractional calculus to generalize and provide a mathematical paradigm for describing
the behavior of such elements with memory. In this framework, we extend Ohm’s law to the
generalized Ohm’s law and prove it.
Domaines
Systèmes dynamiques [math.DS]
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