We study the bifurcation structure of the parameter space of a 1D continuous piecewise linear bimodal map which describes dynamics of a business cycle model introduced by Day-Shafer. In particular, we obtain the analytical expression of the boundaries of several periodicity regions associated...

We show that cyclic and chaotic dynamics may emerge in a Kaldor-Pasinetti growth model with different saving propensities, Leontief technology and logistic labor force growth rate.

This paper presents a 3-region footloose-entrepreneur new economic geography model. Two symmetric regions are part of an economically integrated area (the Union), while the third region represents an outside trade partner. We explore how the spatial allocation of industrial production and...

We study global dynamics of the New Economic Geography model which describes spatial distribution of industrial activity in the long run across three identical regions depending on the balancing of agglomeration and dispersion forces. It is defined by a two-dimensional piecewise smooth map...

This paper presents a 3-Region footloose-entrepreneur new economic geography model. Two symmetric regions are part of an economically integrated area (the Union), while the third region represents an outside trade partner. We explore how the spatial allocation of industrial production and...

We study the dynamics of a one-dimensional piecewise smooth map defined by constant and logistic functions. This map has qualitatively the same dynamics as the one defined by constant and unimodal functions, coming from an economic application. Namely, it contributes to the investigation of a...

We introduce in a post-Keynesian/Kaleckian model of growth and distribution a constraint on firms’ investment induced by increasing adjustment costs and/or limited financial resources. Whereas in the short run limiting firms’ investment reduces capacity utilization and capital accumulation,...

We consider a credit cycle model introduced by Matsuyama, which is defined by a one-dimensional piecewise smooth map with upward, downward and flat branches. We offer a detailed analysis of this model for the case where asymp- totic dynamics does not involve the flat branch, under the additional...

In this paper we consider a continuous one-dimensional map, which is linear on one side of a generic kink point and hyperbolic on the other side. This kind of map is widely used in the applied context. Due to the simple expression of the two functions involved, in particular cases it is possible...

We propose and analyze a two-country model of endogenous innovation cycles. In autarky, innovation fluctuations in the two countries are decoupled. As the trade costs fall and intra-industry trade rises, they become synchronized. This is because globalization leads to the alignment of innovation...