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...

Business cycles denote oscillations in economy as a result of downturns and expansions. The macroeconomic variable under our investigation is income as derived by the dynamic interaction with capital, consumption and investment. In this paper, a Kaldorian business cycle model is used to simulate...

This paper, following Kaldor's approach, is written with the intention of interpreting fluctuations of economic systems (i.e trade cycles). In particular, a new discretized Kaldor model is proposed, which is also useful to explain what appears to be random and unpredictable, such as economic...

This paper investigates, by means of recurrence quantification analysis, the characteristics of trade cycles and economic development. Trade cycles are complex phenomena oscillating because of economic downturns and expansions. In this paper the features of the underlying dynamics are studied...

Business cycles are oscillations in the economy because of recessions and expansions. In this paper we investigate the oscillation of the gross domestic product as a result of its relations with the other main macroeconomic variables such as capital, consumption, and investment.There is a...

This paper, written with the intention of formulating a macroeconomic model of trade cycles - following Kaldor's approach - explains the fluctuations of economic systems by using some numerical instruments. The reason for choosing a chaotic model will become clear as will the implications which...

Trade cycles are complex phenomena which oscillate because of economic downturns and expansions. Recurrence quantification analysis (RQA) detects state changes without necessitating any a priori mathematical assumption and highlights hidden features of the dynamics both at equilibrium and near...

Business cycles are oscillations in economy because of recessions and expansions. In this paper we investigate the oscillation of the Gross Domestic Product (GDP) as a result of its relations with the other main macroeconomic variables such as capital, consumption and investment. There is a...

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...

In this chapter, we outline the reasons why economics has been concerned with non-linear dynamics, with a particular focus on business cycles and on economic growth. Using varying perspectives, we discuss the salient historical mathematical approaches to the problem and the results that were...