This paper suggests the application of multi-dimensional graphs in the study of business cycles in the context of chaos theory. The alternative multidimensional graphic method used is known as the Kite-Cartesian space (Ruiz Estrada, 2006). The Kite-Cartesian space is an alternative analytical...

Complex systems are characterized by deterministic laws (which often may be hidden) and randomness. A tool to analyse those systems is recurrence quantification analysis (RQA). RQA does not rely on any sort of assumption of stationarity and is not sensitive to singularities and transitions. It...

When a system becomes unstable or noise becomes excessive, often regulations of the form of limiters (barriers obstructing excursion into undesired areas of the phase space) are imposed. It is hoped that by the influence of this element, the system can be calmed and its behaviour can be...

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...

This chapter is dedicated to describe RQA applications in detecting spatio-temporal recurrent patterns of dynamical regimes of economic time series. Here we investigate the nature of economic dynamics and specifically of business cycles Orlando and Zimatore (Chaos, Solitons Fractals 110:82–94,...

We re-examine the Systemic Cycles of Accumulation (SCA) of Arrighi (2010) and Arrighi and Silver (1999) which provide a framework for the analysis of the cyclical patterns of geographical expansion of trade and production and the related shifts of hegemonic power within the world capitalist...

We develop a cobweb model in which firms, facing a two-period production delay, have access to a flexible (costly) and an inflexible (cheap) production technology. Moreover, firms select between production technologies depending on theirevolutionary fitness, measured in terms of past realized...

We analyse the implications of unions (efficient bargaining) for multiplicity of stationary states and welfare, local indeterminacy, bifurcations and endogenous fluctuations (deterministic and stochastic). We use an overlapping generations model with external increasing returns to scale, where...