This book develops the use of the theory of nonlinear dynamics in the field of mathematical economics. It is applied to the analysis of a discrete nonlinear two-dimensional dynamic macroeconomic model. This particular model displays all the principal phenomena found in the two-dimensional dynamical systems literature. Using recent findings from the theory of higher-dimensional nonlinear dynamical systems, earlier results obtained with other dynamic economic models are generalized. In addition, a general framework is provided that can be used to solve some problems that are frequently encountered in the analysis of nonlinear dynamic (economic) models. Almost all of the results in this book have been rigorously proved. In order to follow the intuitive ideas behind these proofs as well as clarifying the discussion of the theoretical results, 55 figures are provided.
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