In this chapter, in Sect. 12.1 we provide a sketch of the Keynesian multiplier and the multiplier–accelerator model by Hansen and Samuelson. The description of the Kaldor model (Sect. 12.2) is introduced by the related literature (Sect. 12.2.1). As Kaldor described his model only...

R.G. Goodwin mentioned that "economists will be led, as natural scientists have been led, to seek in nonlinearities an explanation of the maintenance of oscillation" (Goodwin, Econometrica 19(1), 1951); following this reasoning, we studied business cycles as if they were generated by nonlinear...

Purpose: The purpose of this paper is to model interest rates from observed financial market data through a new approach to the Cox–Ingersoll–Ross (CIR) model. This model is popular among financial institutions mainly because it is a rather simple (uni-factorial) and better model than the...

Purpose: The purpose of this study is to suggest a new framework that we call the CIR#, which allows forecasting interest rates from observed financial market data even when rates are negative. In doing so, we have the objective is to maintain the market volatility structure as well as the...

FM -- Introduction -- Part I: Mathematical background -- Dynamical systems -- An example of nonlinear dynamical system: The Logistic Map -- Bifurcations -- From local bifurcations to global dynamics: Hopf systems from the applied perspective -- Chaos -- Embedding and mutual information -- Part...

In this Chapter, we provide the definitions, notions and examples relevant for the analysis of the dynamical systems of interest to us in the remainder of this book. We start with with a description of dynamical systems and we provide a taxonomy. Then, we define continuous-time dynamical systems...

In this chapter, the Logistic Map is taken as the example demonstrating the generic stability properties of fixed points and limit cycles, in dependence of the strength of nonlinearity. To identify attracting periodic orbits, we use the Schwarz derivative. The chapter ends with an application of...