Methods & topics:   

·       Time and frequency domains: autocorrelation and Fourier transform

·       Time-frequency domain: wavelet transform

·       Study of interactions and couplings

·       Entropy and information

·       Coherence and phase coherence

·       Direction of coupling and coupling functions

·       Data-driven and model-driven methods for coupled systems and networks

·       Distinguishing oscillatory modes from high harmonics and noise

·       Extraction of instantaneous frequencies and phases

·       Testing hypotheses for dynamical systems using surrogate data

·       Non-autonomous, time-localised finite-time dynamics

·       Physics & mathematics of open systems

·       Classification, machine learning  & artificial intelligence

·       Real world applications