30 citations · 48 across the 5 of their papers we have counts for
8 papers
Homogeneous Models of Nonlinear Circuits
Ricardo Riaza
This paper develops a general approach to nonlinear circuit modelling aimed at preserving the intrinsic symmetry of electrical circuits when formulating reduced models. The goal is…
Associate submersions and qualitative properties of nonlinear circuits with implicit characteristics
Ricardo Riaza
We introduce in this paper an equivalence notion for submersions , open in , which makes it possible to identify a smooth planar curve with a unique class of su…
Circuit theory in projective space and homogeneous circuit models
Ricardo Riaza
This paper presents a general framework for linear circuit analysis based on elementary aspects of projective geometry. We use a flexible approach in which no a priori assignment o…
Twin subgraphs and core-semiperiphery-periphery structures
Ricardo Riaza
A standard approach to reduce the complexity of very large networks is to group together sets of nodes into clusters according to some criterion which reflects certain structural p…
Transcritical bifurcation without parameters in memristive circuits
Ricardo Riaza
The transcritical bifurcation without parameters (TBWP) describes a stability change along a line of equilibria, resulting from the loss of normal hyperbolicity at a given point of…
Some qualitative problems in network dynamics
Ricardo Riaza
This paper addresses analytical aspects of deterministic, continuous-time dynamical systems defined on networks. The goal is to model and analyze certain phenomena which must be fr…
First order devices, hybrid memristors, and the frontiers of nonlinear circuit theory
Ricardo Riaza
Several devices exhibiting memory effects have shown up in nonlinear circuit theory in recent years. Among others, these circuit elements include Chua's memristors, as well as memc…
Dynamical properties of electrical circuits with fully nonlinear memristors
Ricardo Riaza
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 Ch…