Giuseppe Orlando is a Professor at the Department of Economics and Finance, University of Bari (Italy). With a focus on economics, finance and econometrics, his current projects involve business cycle modelling, banking clearing problems and interest rate forecasting. Alexander N. Pisarchik is a Distinguished Researcher at the Center for Biomedical Technology, Technical University of Madrid (Spain). In 2013 he was appointed the Isaac-Peral Chair of Computational Systems Biology at the Center for Biomedical Technology, Technical University of Madrid in the framework of the BBVA-UPM BioTech Program. His scientific interests include nonlinear dynamics, chaos, synchronization, multistability, intermittency, and stochastic dynamics with applications to lasers, electronics, the brain, neurons and cryptography. Ruedi Stoop is a Professor at the Institute for Neuroinformatics, University ofZurich (UZH); Swiss Federal Institute of Technology (ETH) in Zurich; the University of Bern and the Technical University Nordwestschweiz (Switzerland). A mathematician and theoretical physicist, his research focuses on biological computing, statistical physics and cochlear modelling.

• 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.

Giuseppe Orlando is a Professor at the Department of Economics and Finance, University of Bari (Italy). With a focus on economics, finance and econometrics, his current projects involve business cycle modelling, banking clearing problems and interest rate forecasting. Alexander N. Pisarchik is a Distinguished Researcher at the Center for Biomedical Technology, Technical University of Madrid (Spain). In 2013 he was appointed the Isaac-Peral Chair of Computational Systems Biology at the Center for Biomedical Technology, Technical University of Madrid in the framework of the BBVA-UPM BioTech Program. His scientific interests include nonlinear dynamics, chaos, synchronization, multistability, intermittency, and stochastic dynamics with applications to lasers, electronics, the brain, neurons and cryptography. Ruedi Stoop is a Professor at the Institute for Neuroinformatics, University ofZurich (UZH); Swiss Federal Institute of Technology (ETH) in Zurich; the University of Bern and the Technical University Nordwestschweiz (Switzerland). A mathematician and theoretical physicist, his research focuses on biological computing, statistical physics and cochlear modelling.

• 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.

Giuseppe Orlando is a Professor at the Department of Economics and Finance, University of Bari (Italy). With a focus on economics, finance and econometrics, his current projects involve business cycle modelling, banking clearing problems and interest rate forecasting. Alexander N. Pisarchik is a Distinguished Researcher at the Center for Biomedical Technology, Technical University of Madrid (Spain). In 2013 he was appointed the Isaac-Peral Chair of Computational Systems Biology at the Center for Biomedical Technology, Technical University of Madrid in the framework of the BBVA-UPM BioTech Program. His scientific interests include nonlinear dynamics, chaos, synchronization, multistability, intermittency, and stochastic dynamics with applications to lasers, electronics, the brain, neurons and cryptography. Ruedi Stoop is a Professor at the Institute for Neuroinformatics, University ofZurich (UZH); Swiss Federal Institute of Technology (ETH) in Zurich; the University of Bern and the Technical University Nordwestschweiz (Switzerland). A mathematician and theoretical physicist, his research focuses on biological computing, statistical physics and cochlear modelling.

• 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.