Nonlinearities in Economics: An Interdisciplinary Approach to Economic Dynamics, Growth and Cycles

FM.- Introduction.- Part I: Mathematical background.- Dynamical systems.- An example of nonlinear dynamical system: The Logistic Map.- Bifurcations.- From local bifurcations to global dynamics: Hopf systems from the applied perspective.- Chaos.- Embedding and mutual information.- Part II: Signal analysis and modelling tools for economic systems.- Signal Processing.- Applied spectral analysis.- Recurrence quanti cation analysis: theory and applications.- Part III: Emergence of cycles and growth in economics.- On business cycles and growth.- Trade-cycle oscillations: The Kaldor model and the Keynesian Hansen-Samuelson principle of acceleration and multiplier.- The Harrod model.- Growth and cycles as a struggle: Lotka-Volterra, Goodwin and Phillips.- Stable periodic economic cycles from controlling.- Part IV: New horizons for understanding economics.- Kaldor-Kalecki new model on business cycles.- Recurrence Quanti cation Analysis of Business Cycles.- An empirical test on Harrod's model.- Testing a Goodwin's model with capacity utilization to the US Economy.- Financial Stress, Regime Switching and Macrodynamics.- BM.