Titlebook: Nonlinearities in Economics; An Interdisciplinary Giuseppe Orlando,Alexander N. Pisarchik,Ruedi Stoo Book 2021 The Editor(s) (if applicable

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Giuseppe Orlando,Mario Sportelli,Fabio Della Rossaices to foreign direct investment, many studies showed that Italian small and medium-size enterprises (SMEs) have recently been prone to international involvement, but only in the simplest form of exporting. The absence of a more complex internationalisation strategy has been explained with the exis

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Introduction,n, we introduce the notion of nonlinearities in economics and the extension of the methods and the analyses devised in hard sciences not only for understanding the dynamics but, also, for predicting and controlling them. After that, we describe the organization of this book that, in the first three

Occlusion

Dynamical Systemsr of this book. We start with with a description of dynamical systems and we provide a taxonomy. Then, we define continuous-time dynamical systems either in the form of ordinary differential equations (ODE) or from systems of ODE. Afterwards, we introduce the general concept of stability and of stab

易于出错

An Example of Nonlinear Dynamical System: The Logistic Mapce of the strength of nonlinearity. To identify attracting periodic orbits, we use the Schwarz derivative. The chapter ends with an application of Singer’s theorem, followed by the proof that it is generally not possible to provide closed formula for solutions.

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Applied Spectral Analysis, etc. We show how to analyse it by the means of spectral analysis and Fourier transform. Moreover, as the Fourier transform does not provide any information about the time at which each frequency appears, we explain how to deal with this problem with the Gabor and wavelet transform.

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Recurrence Quantification Analysis: Theory and Applicationstification analysis (RQA). RQA does not rely on any sort of assumption of stationarity and is not sensitive to singularities and transitions. It could be applied to both numeric and symbolic data, and it has a wide array of applications ranging from economics to biochemistry, physiology and physics.