Applications in Climatology and Atmospheric Sciences -- Subsampling Methodology for the Analysis of Nonlinear Atmospheric Time Series -- Global Patterns of Nonlinearity in Real and GCM-Simulated Atmospheric Data -- Prediction of Extreme Events -- Analysis of Geophysical Time Series Using Discrete Wavelet Transforms: An Overview -- Automatic Parameter Estimation in a Mesoscale Model Without Ensembles -- Towards Robust Nonlinear Multivariate Analysis by Neural Network Methods -- Complexity of Spatio-Temporal Correlations in Japanese Air Temperature Records -- Applications in Oceanography and Seismology -- Time Series Analysis of Sea-Level Records: Characterising Long-Term Variability -- Empirical Global Ocean Tide and Mean Sea Level Modeling Using Satellite Altimetry Data Case Study: A New Empirical Global Ocean Tide and Mean Sea Level Model Based on Jason-1 Satellite Altimetry Observations -- Fourier, Scattering, and Wavelet Transforms: Applications to Internal Gravity Waves with Comparisons to Linear Tidal Data -- Crustal Deformation Models and Time-Frequency Analysis of GPS Data from Deception Island Volcano (South Shetland Islands, Antarctica) -- Describing Seismic Pattern Dynamics by Means of Ising Cellular Automata -- Applications in Solar-Terrestrial Physics -- Template Analysis of the Hide, Skeldon, Acheson Dynamo -- Methods to Detect Solitons in Geophysical Signals: The Case of the Derivative Nonlinear Schrödinger Equation -- Detecting Oscillations Hidden in Noise: Common Cycles in Atmospheric, Geomagnetic and Solar Data -- Phase Coherence Analysis of Decadal-Scale Sunspot Activity on Both Solar Hemispheres.