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We compute the K-groups for the Cuntz-Krieger algebras OA K(fµ) , where A K(fµ) is the Markov transition matrix arising from the kneading sequence K(fµ) of the one-parameter family of real quadratic maps fµ. Consider the one-parameter family of real quadratic maps f µ : [0, 1] → [0, 1] defined by f µ (x) = µx(1 − x), with µ ∈ [0, 4]. Using Milnor-Thurston's… (More)
The purpose of this paper is to present a weighted kneading theory for one-dimensional maps with a hole. We consider extensions of the kneading theory of Milnor and Thurston to expanding discontinuous maps with a hole and introduce weights in the formal power series. This method allows us to derive techniques to compute explicitly the topological entropy,… (More)
One of the interesting complex behaviors in many cell membranes is bursting, in which a rapid oscillatory state alternates with phases of relative quiescence. Although there is an elegant interpretation of many experimental results in terms of nonlinear dynamical systems , the dynamics of bursting models is not completely described. In the present paper, we… (More)
We introduce the notion of conductance in discrete dynamical systems defined by iterated maps of the interval. Our starting point is the notion of conductance in the graph theory. We pretend to apply the known results in this new context.
INTRODUCTION AND OBJECTIVES The aim of the present paper is to report trends in Portuguese interventional cardiology from 2004 to 2013 and to compare them with other European countries. METHODS Based on the Portuguese National Registry of Interventional Cardiology and on official data from the Directorate-General of Health, we give an overview of… (More)
There is by now a large consensus in modern monetary policy. This consensus has been built upon a dynamic general equilibrium model of optimal monetary policy as developed by, e. In this paper we extend the standard optimal monetary policy model by introducing nonlinearity into the Phillips curve. Under the specific form of nonlinearity proposed in our… (More)
The aim of this paper is to establish the existence of a "box-within-a-box" bifurcation structure for monotone families of Lorenz maps and to study its combi-natorics.