Due to delays in the adaptation of production or delivery rates, supply chains can be dynamically unstable with respect to perturbations in the consumption rate, which is known as “bull-whip effect”. Here, we study several conceivable production strategies to stabilize supply chains, which...

This paper derives the analytical solution of arenewable resource-based Ramsey economy withcostly resource extraction. The goal is toascertain whether costly resource extractioncan induce nonlinear dynamical properties in the system. We find that the solution for a model with constant technology...

This manuscript analyzes the fundamental factors that govern the qualitative behavior of discrete dynamical systems. It introduces methods of analysis for stability analysis of discrete dynamical systems. The analysis focuses initially on the derivation of basic propositions about the factors...

We model the cellular immune response using a set of non-linear delayed differential equations. We observe that the stationary solution becomes unstable above a critical immune response time. The exponents characterizing the approach to this bifurcation point as well as the critical slow...

The standardised residuals from GARCH models fitted to three stock indices of the Athens Stock Exchange are examined for evidence of chaotic behaviour. In each case the correlation dimension is calculated for a range of embedding dimensions. The results do not support the hypothesis of chaotic...

This work is a theoretical study of fronts propagating into an uniaxial ferromagnetic medium with velocity v, when the magnetization, M, is driven by a DC applied magnetic field, H0, from the demagnetized to the magnetized state. It is assumed that the dynamics of M is govern by the...

We present a new two phase model of economic production processes which is a non-linear dynamical version of von Neumann's neoclassical model of production, including a market price-setting phase as well as a production phase. The rate of an economic production process is observed, for the first...

This article examines the dynamic relationship between two key US money market interest rates – the federal funds rate and the 3-month Treasury bill rate. Using daily data over the period from 1974-99, we find a long-run relationship between these two rates that is remarkably stable across...

Several theoretical models of money demand imply non-linear functional forms for the aggregate demand for money characterized by smooth adjustment towards long-run equilibrium. In this Paper, we propose a non-linear equilibrium correction model of US money demand, which is shown to be stable...