Mathematics – Dynamical Systems
Scientific paper
2010-08-15
Mathematics
Dynamical Systems
19 pages
Scientific paper
The recent design of a nanoscale device with a memristive characteristic has had a great impact in nonlinear circuit theory. Such a device, whose existence was predicted by Leon Chua in 1971, is governed by a charge-dependent voltage-current relation of the form $v=M(q)i$. In this paper we show that allowing for a fully nonlinear characteristic $v=\eta(q, i)$ in memristive devices provides a general framework for modeling and analyzing a very broad family of electrical and electronic circuits; Chua's memristors are particular instances in which $\eta(q,i)$ is linear in $i$. We examine several dynamical features of circuits with fully nonlinear memristors, accommodating not only charge-controlled but also flux-controlled ones, with a characteristic of the form $i=\zeta(\varphi, v)$. Our results apply in particular to Chua's memristive circuits; certain properties of these can be seen as a consequence of the special form of the elastance and reluctance matrices displayed by Chua's memristors.
Riaza Ricardo
No associations
LandOfFree
Dynamical properties of electrical circuits with fully nonlinear memristors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dynamical properties of electrical circuits with fully nonlinear memristors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical properties of electrical circuits with fully nonlinear memristors will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-295700