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Table of Contents
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.
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.