An attempt is made to analyze some of the attractors in Zambelli’s macrodynamics as knots. This enables one to connect the richness of dynamical systems theory with the dynamic sequence analysis of knots.

Time complexity is associated with sensitive dependence on initial conditions and severe intrinsic predictability limits, in particular, the ‘butterfly effect’ paradigm: an exponential error growth and a corresponding characteristic predictability time. This was believed to be the universal...

This paper builds on Kocenda (2001) and extends it in two ways. First, two new intervals of the proximity parameter epsilon (over which the correlation integral is calculated) are specified. For these epsilon-ranges new critical values for various lengths of the data sets are introduced and...

The aim of these lecture notes is to present a few mathematical facts about the bifurcations of nonlinear difference equations, in a concise and simple form that might be useable by economic theorists.

The relation between the degree of financial development of an economy (measured by the extent in which constraints to credit exist) and fluctuations affecting the trend of economic growth, is a relevant theme of discussion in macroeconomics. Some of the literature on this field argues that the...

The standard two-sector growth model with physical and human capital characterizes a process of material accumulation involving simple dynamics; constant long run growth is observable when assuming conventional Cobb-Douglas production functions in both sectors. This framework is developed under...

Following the literature on growth, cycles and financial development, this paper develops an endogenous growth model where the source of endogenous business cycles relates to the allocation of credit between productive investment and consumption. An important role is given to consumer sentiment,...

This paper deals with the analytical and graphical representation of the bifurcations appearing from the adjustment dynamics of a 2- player Cournot duopoly, proposed by Puu (1997). We establish admissibility conditions on the initial state of the adjustment dynamics and visualize the dynamics in...