We incorporate a renewable resource into an overlapping generations model with standard, well-behaved utility and constant returns production functions. Besides being a factor of production the resource serves as a store of value. We characterize dynamics, efficiency and stability of steady state equilibria, and show that their nature depends on the size of the intertemporal elasticity of subst...

We present some arguments showing spectrum doubling of matrix models in the limit N → ∞ which is connected with fermionic determinant behaviour. The problems are similar to ones encountered in the lattice gauge theories with chiral fermions. One may discuss the “physical meaning” of the doubling states or ways to eliminate them. We briefly consider both situations.

In this paper, a discrete-time biological model and its dynamical behaviors are studied in detail. The existence and stability of the equilibria of the model are qualitatively discussed. More precisely, the conditions for the existence of a flip bifurcation and a Neimark-Sacker bifurcation are derived by using the center manifold theorem and bifurcation theory. Numerical simulations are present...

We consider a two-sector economy with money-in-the-utility-function and sector-specific externalities. We provide conditions on technologies leading to the existence of local indeterminacy for any value of the interest rate elasticity of money demand, provided the elasticity of intertemporal substitution in consumption is large enough. Moreover, we show that the occurrence of multiple equilibri...

BACKGROUND Bipolar disorder (BD) is a chronic and often severe mental disease, associated with a significant burden in affected individuals. The characterization of a premorbid (prodromal) period and possible development of preventive interventions are recent advances in this field. Attempts to characterize high-risk stages in BD, identifying symptoms prior to the emergence of a first manic/hyp...

BACKGROUND Double-wave reentry (DWR) can be a mechanism for acceleration of ventricular tachycardia (VT) with a large excitable gap (EG). The purpose of this study was to determine the effects of heptanol, class Ic, and class III drugs on the inducibility of DWR. METHODS AND RESULTS In 11 Langendorff-perfused rabbit hearts, a thin ring of anisotropic left ventricular epicardium was created by...

Participants attempted to perform two tasks concurrently during simulated driving. In the choice task, they responded either manually or vocally to the number of times a visual or auditory stimulus occurred; in the braking task, they depressed a brake pedal in response to the lead car's brake lights. The time delay between the onset of the tasks' stimuli, or stimulus onset asynchrony (SOA), was...

Abstract. In 1998, Allouche, Peyrière, Wen and Wen considered the Thue–Morse sequence, and proved that all the Hankel determinants of the period-doubling sequence are odd integers. We speak of t-extension when the entries along the diagonal in the Hankel determinant are all multiplied by t. We prove that the t-extension of each Hankel determinant of the period-doubling sequence is a polynomial ...

We extend the theory of quasipotentials in dynamical systems by calculating an exact potential for the critical fluctuations of pitchfork bifurcations of period-doubling maps in the weak noise limit. These far-from-equilibrium fluctuations are described by finite-size mean field theory, placing their static properties in the same universality class as the Ising model on a complete graph. We dem...

We extend Lin’s method for use in the setting of parameter-dependent nonlinear functional differential equations of mixed type (MFDEs). We show that the presence of M -homoclinic and M -periodic solutions that bifurcate from a prescribed homoclinic connection can be detected by studying a finite dimensional bifurcation equation. As an application, we describe the codimension two orbit-flip bifu...