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.