4,172 research outputs found
Dynamical properties of electrical circuits with fully nonlinear memristors
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 . In this paper we show that
allowing for a fully nonlinear characteristic 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 is linear in . 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 . 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.Comment: 19 page
Decomposing the dynamics of heterogeneous delayed networks with applications to connected vehicle systems
Delay-coupled networks are investigated with nonidentical delay times and the
effects of such heterogeneity on the emergent dynamics of complex systems are
characterized. A simple decomposition method is presented that decouples the
dynamics of the network into node-size modal equations in the vicinity of
equilibria. The resulting independent components contain distributed delays
that map the spatiotemporal complexity of the system to the time domain. We
demonstrate that this new approach can be used to reveal new physical phenomena
in heterogenous vehicular traffic when vehicles are linked via
vehicle-to-vehicle (V2V) communication.Comment: The paper has been updated in response to referee comments. 5 pages,
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