Overview -- Methods for describing oscillations, fluctuations, and cycles in univariate series -- Constructing reference cycles with multivariate information -- Model-based rules for describing recurrent events -- Measuring recurrent event features in univariate data -- Measuring synchronization...

The early history of cycles research involved locating turning points in the data. Later, the development of methods such as spectral analysis led to a focus on oscillations. A distinction between cycles and oscillations is needed - both imply turning points, but turning points do not...