Measuring complexity in a business cycle model of the Kaldor type |
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Authors: | Cristina Janurio Clara Grcio Jorge Duarte |
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Institution: | aISEL-High Institute of Engineering of Lisbon, Department of Chemistry, Mathematics Unit, Rua Conselheiro Emídio Navarro, 1949-014 Lisboa, Portugal;bDepartment of Mathematics, Universidade de Évora, Rua Romão Ramalho, 59, 7000-585 Évora, Portugal |
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Abstract: | The purpose of this paper is to study the dynamical behavior of a family of two-dimensional nonlinear maps associated to an economic model. Our objective is to measure the complexity of the system using techniques of symbolic dynamics in order to compute the topological entropy. The analysis of the variation of this important topological invariant with the parameters of the system, allows us to distinguish different chaotic scenarios. Finally, we use a another topological invariant to distinguish isentropic dynamics and we exhibit numerical results about maps with the same topological entropy. This work provides an illustration of how our understanding of higher dimensional economic models can be enhanced by the theory of dynamical systems. |
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