Chaotic behavior in a two--dimensional business cycle model
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World Scientific
Abstract
We consider a discrete-time economic model which is a particular case of the Kaldor-type business cycle model and it is described by a two-dimensional dynamical system. Under certain conditions the map can be reduced to a skew map whose components, the base and the fiber map, both have entropy. Our proposal is to study and measure the complexity of the system using symbolic dynamics techniques and the topological entropy.
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CRISTINA JANUÁRIO, CLARA GRÁCIO, and J. SOUSA RAMOS (2007) CHAOTIC BEHAVIOR IN A TWO-DIMENSIONAL BUSINESS CYCLE MODEL. Difference Equations, Special Functions And Orthogonal Polynomials: pp. 294-304.