Miguel Sanjuan is full professor of physics at the Universidad Rey Juan Carlos in Madrid, Spain, where he founded the Physics Department in 2006. He is a corresponding member of the Spanish Royal Academy of Sciences, section physics and chemistry, and a foreign member of the Lithuanian Academy of Sciences in the areas of physics and mechanical engineering. Prof. Sanjuan is presently the head of the Nonlinear Dynamics, Chaos and Complex Systems Research Group at the Universidad Rey Juan Carlos.He has published the monograph Nonlinear Resonances (Springer,2015). Juan C. Vallejo is an astrophysicist working as BepiColombo SGS Software Development Team Leader for the GMV enterprise group at the European Space Astronomy Centre in Madrid. At the same time he collaborates with the Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Fisica, Universidad Rey Juan Carlos.

• Preface.- Forecasting and Chaos.- Lyapunov Exponents.- Dynamical Regimes and Timescales.- Predictability.- Numerical Calculation of Lyapunov Exponents.

Miguel Sanjuan is full professor of physics at the Universidad Rey Juan Carlos in Madrid, Spain, where he founded the Physics Department in 2006. He is a corresponding member of the Spanish Royal Academy of Sciences, section physics and chemistry, and a foreign member of the Lithuanian Academy of Sciences in the areas of physics and mechanical engineering. Prof. Sanjuan is presently the head of the Nonlinear Dynamics, Chaos and Complex Systems Research Group at the Universidad Rey Juan Carlos.He has published the monograph Nonlinear Resonances (Springer,2015). Juan C. Vallejo is an astrophysicist working as BepiColombo SGS Software Development Team Leader for the GMV enterprise group at the European Space Astronomy Centre in Madrid. At the same time he collaborates with the Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Fisica, Universidad Rey Juan Carlos.

• Preface.- Forecasting and Chaos.- Lyapunov Exponents.- Dynamical Regimes and Timescales.- Predictability.- Numerical Calculation of Lyapunov Exponents.

Miguel Sanjuan is full professor of physics at the Universidad Rey Juan Carlos in Madrid, Spain, where he founded the Physics Department in 2006. He is a corresponding member of the Spanish Royal Academy of Sciences, section physics and chemistry, and a foreign member of the Lithuanian Academy of Sciences in the areas of physics and mechanical engineering. Prof. Sanjuan is presently the head of the Nonlinear Dynamics, Chaos and Complex Systems Research Group at the Universidad Rey Juan Carlos.He has published the monograph Nonlinear Resonances (Springer,2015). Juan C. Vallejo is an astrophysicist working as BepiColombo SGS Software Development Team Leader for the GMV enterprise group at the European Space Astronomy Centre in Madrid. At the same time he collaborates with the Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Fisica, Universidad Rey Juan Carlos.

• Preface.- Forecasting and Chaos.- Lyapunov Exponents.- Dynamical Regimes and Timescales.- Predictability.- Numerical Calculation of Lyapunov Exponents.